The area of the cell phone dimensions to her computer screen dimensions is 1:3. What’s the length and width of the computer screen

Answers

Answer 1

Answer:

A=l*w

Step-by-step explanation:

so We Derive Their Formula

L=A/w


Related Questions

A line contains points F, G, H, I, J. The space between F G is 2. The space between H and I is 1. The space between F and I is 7.
If FG = 2 units, FI = 7 units, and HI = 1 unit, what is GH?

Answers

Based on the segment addition postulate, the length of GH is: 4 units.

What is the Segment Addition Postulate?

The segment addition postulate states that if a line segment is divided into smaller parts, the sum of the length of the smaller parts equals the length of the line segment.

FG = 2 unitsFI = 7 unitsHI = 1 unitGH = ?

FI = FG + HI + GH [segment addition postulate]

7 = 2 + 1 + GH

7 = 3 + GH

7 - 3 = GH

4 = GH

GH = 4 units.

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Answer:

B- 4 units

Step-by-step explanation:

Someone, please help! I really don't understand congruent triangles

Answers

Answer:

  D.  (CPCTC)

Step-by-step explanation:

Your proof that the triangles are congruent is complete at the 4th step. In Step 5, you are asked to draw a conclusion about corresponding angles in those congruent triangles.

__

what is congruence?

Two geometric objects are congruent if they are identical in size and shape by any measure. If they are not labeled, you cannot tell them apart. Every measure of one is identical to the corresponding measure of the other. The location and orientation of congruent figures does not affect their congruence. You can move them, rotate them, flip them over, and they remain congruent.

This property, "corresponding parts of congruent triangles are congruent," is abbreviated "CPCTC." Once you have demonstrated objects are congruent, you can use this fact to relate measures of the objects that may not have been part of the demonstration.

proving congruence

general

We generally work with plane geometric figures that are polygons or have well-defined curved edges. Polygon figures are comprised of straight sides of fixed length. At each vertex, where sides meet, an angle is formed. Corresponding sides form corresponding angles.

The sides are generally named by the vertices at either end. The angles may be named by the vertex where it is located, or by the names of the sides that make it up.

In triangle ABC, for example, the vertices have labels A, B, and C. The sides are AB, AC, and BC. And the angles are A, B, and C, or BAC, ABC, ACB. (The vertex of the angle is the middle letter.)

To prove polygons are congruent, you must show corresponding angles are congruent, and corresponding sides are congruent. Generally, the number of sides will put constraints on the size of the angles. (A 6-sided polygon will have 6 angles that total 720°, for example.)

triangles

When the polygon is a triangle, the constraints on side lengths and angles generally mean there are shortcuts to proving congruence. The postulates that tell you what these are have been given mnemonic abbreviations. When we say, "angle" or "side" in this context, we are referring to congruent corresponding angles in the two triangles, or congruent corresponding sides.

AAS -- two consecutive angles and a side adjacent to one of them will prove congruenceASA -- two angles and the side between them will prove congruenceSAS -- two sides and the angle between them will prove congruenceSSS -- three sides will prove congruence

These can also be applied to right triangles, where one angle is known to be 90°. In addition, there is a theorem that only applies to right triangles:

HL -- the hypotenuse and one leg will prove congruence. (Note that the hypotenuse is opposite the known 90° angle, so this is effectively an SSA congruence statement, only applicable to right triangles.)

your proof

The triangles in your figure have a side marked with a single hash mark. This means those corresponding sides in the two triangles are congruent to each other.

There is an angle marked with two (2) arcs in each triangle. This marking means those corresponding angles are congruent. Likewise for the angles marked with three (3) arcs. You will notice the 3-arc angle, 2-arc angle, and 1-hash mark side are in the same order in the two triangles. This means the AAS congruence postulate applies, as is claimed on line 4 of your proof.

using congruence

As you have seen, we only need to show some parts of a triangle are congruent in order to show all parts of the triangle are congruent. When we make a claim about corresponding parts that weren't an explicit part of the proof, we are essentially relying on the definition of congruent polygons. For triangles, that definition is summarized by the abbreviation CPCTC.

Line 5 of your 2-column proof is making a claim about corresponding angles of the triangle. That claim is supported by CPCTC.

_____

Additional comment

Choices A and C refer to congruence postulates, as discussed above. Those have no relation to the claim regarding angles ACB and XZY.

The "corresponding angles theorem" tells you corresponding angles are congruent where a transversal crosses parallel lines. It has no relation to the angles in this problem.

In how many years will $7000 yield an interest of $4620 at 22% simple interest?

Answers

Answer:

3 Years

Step-by-step explanation:

7000*22% = 1540

4620/1540 = 3

1540 = the yearly interest

so it will take 3 years of $1540 of interest to get $4620.

Normally you would also have to take into account the interest plus the base varible but since it specifically says 7000 it makes it a simple problem.

hope this helped

It cost a boy $13.50 to take a girl out for the evening. Sixty percent of this was for the theater tickets. What was the cost of each ticket ?

Answers

Problem:

It cost a boy $13.50 to take a girl out for the evening. Sixty percent of this was for the theater tickets. What was the cost of each ticket?

Solution:

60% of $13.50 is 0.6*13.50 = 8.10

Cut this figure in half to get 8.10/2 = 4.05

So the cost of each ticket was $4.05

Answer:

The cost of each ticket is $4.05.

학습을 계속하다

CHARLES' LAW CALCULATION.

Answers

1.The temperature will be, T2= 169.8 K

2. The volume if the temperature is 318 K is 0.170 L

What is Charles Law?

Charles's law, a statement that the volume occupied by a fixed amount of gas is directly proportional to its absolute temperature, if the pressure remains constant.

Given: V1= 250 ml=0.25L

V2=150 ml= 0.15 L

T1= 10 °C=283 K, T2=?

Now using Charles law

V1/T1=V2/T2

0.25/283=0.15/T2

T2= 169.8 K

2. T1= 20 °C= 293 K

    V1= 160 cm³

     T2= 318 K

     V2=?

Using Charles Law,

V1/T1=V2/T2

0.16/293=V2/313

0.170 L=V2

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rectangle with area of 12 square units is dilated by a scale factor of 3. What is the area?

Answers

Answer:

36 units²

Step-by-step explanation:

rectangle with area of 12 square units is dilated by a scale factor of 3. What is the area?

Scale factor = Dimension of the new shape ÷ Dimension of the original shape.

we use the inverse formula

12 * 3 =

36 units²

-----------------------

check

36 : 12 = 3

the answer is good

How many full 4 2/3 in. Sheets can be cut from 22 1/6 in. Stick

Answers

Answer:

4

Step-by-step explanation:

Because i divided 4 2/3 by 22 1/6 = 4.75 and for full sheets it would be 4

Hope This Helped

Please show your work! I'll give you brainliest as well as a 5 star rating, thanks!

Answers

Answer:

281.3

Step-by-step explanation:

If the shapes are similar then the linear scale factor is :

15÷20 = 0.75

The area scale factor will be 0.75²

The area scale factor is 0.5625

500 × 0.5625 = Area of shaded rectangle

Area of shaded rectangle = 281.25

To the nearest tenth = 281.3

Hope you understood and brainliest please

Answer:

[tex]281.3 m^{2}[/tex]

Step-by-step explanation:

I've done this before I have the work attached below in a screenshot. Sorry that it's not much but I hope it helps!

Please feel free to comment, give feedback, ask questions, and correct me if I am wrong!

Have a great day

:)

X =
(19) Find the values for X and Y, and then solve for the side lengths.

Answers

Lx is the Valentine’s Day gird

The data below show the expenditure of a housewife for a particular day
Item amount
Rice. 120
Yam. 100
Beans. 140
Vegetable 140
Meat. 180
Sugar. 40
Palm oil. 60
Display using a pie chart

Answers

The pie chart below depicts a housewife's expenditures for a certain day.

What is a pie chart?

A map wherein the round is split into segments, each one representing a percentage of the total.

The data below show the expenditure of a housewife for a particular day

Item amount

Rice - 120

Yam - 100

Beans - 140

Vegetable - 140

Meat - 180

Sugar - 40

Palm oil - 60

The pie chart is given below.

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Saundra's credit has an APR of 18%, calculated on the previous monthly balance. Her credit card record for the last 7 months is hown in the table below. On what amount of money will Saundra be charged interest for month 8?

Answers

Answer:

I think the answer is $244.65 im not completely sure if this is the right answer so correct me if im wrong

a group of 20 students in four adults are going on a field trip to the museum What is the ratio of students to adults complete the statement.

Answers

Answer:

5:1

Step-by-step explanation:

Originally the ratio is 20:4

but then it is simplified to 10:2

then 5:1

EN=NG, which of the following statements CANNOT be true? F M E R NP Q A. MN is a perpendicular bisector. OB. FM = MG O C. Pis a midpoint. O D. MN is a midsegment. G



help dawg ​

Answers

Answer:A. MN is a perpendicular bisector.
Hope that helps

Step-by-step explanation:

A game decreased in price by 2/3. After the reduction it was priced at £13. What was the original price of the game?​

Answers

Answer:

[tex]x = 39[/tex]

Step-by-step explanation:

Based on the given conditions, write: [tex]x=\frac{13}{1-\frac{2}{3}}[/tex]

Find common denominator and write numerators above common denominator: [tex]x=\frac{\frac{13}{3-2} }{3}[/tex]

Calculate the sum or difference: [tex]x=\frac{\frac{13}{1} }{3}[/tex]

Divide the fraction by multiplying its reciprocal: [tex]x=13*3[/tex]

Calculate the product or quotient: [tex]x=39[/tex]

Answer: [tex]x=39[/tex]

Answer:

£19.50

Step-by-step explanation:

let x be the original price , then

[tex]\frac{2}{3}[/tex] x = 13 ( multiply both sides by 3 to clear the fraction )

2x = 39 ( divide both sides by 2 )

x = 19.5

original price of game was £19.50

PLEASE HELP ASAP WILL MARK BRAINLY

Answers

tanØ=Perpendicular/Base

Mark the lines

tanD=BC/BD

Put the values

tanD=√38/√53

Done

Answer:

[tex]\sf \tan(D)=\dfrac{\sqrt{38}}{\sqrt{53}}[/tex]

Step-by-step explanation:

Tangent trigonometric ratio

[tex]\sf \tan(\theta)=\dfrac{O}{A}[/tex]

where:

[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angle

Given:

[tex]\theta[/tex] = DO = √38A = √53

Substituting the given values into the formula:

[tex]\implies \sf \tan(D)=\dfrac{\sqrt{38}}{\sqrt{53}}[/tex]

Does anyone know how to do this I’m really confused

Answers

Given:Pentagon To find:

The size of the unknown angle "x"

Solution:

The given polygon is a Pentagon so the sum of interior angle will be,

[tex]\large\boxed{Formula: ( n − 2 ) × 180}[/tex]

n means the number of sides

Let's substitute the values according to the formula.

[tex](5-2)×180[/tex]

[tex]=540°[/tex]

Now, we can find the sum of one interior angle.

[tex]\large\boxed{\frac{sum \: of \: interior \: angles}{n}}[/tex]

n means the number of sides.

Let's substitute the values according to the formula.

[tex]x=\frac{540}{5}[/tex]

[tex]\large\boxed{x= 108°}[/tex]

Therefore, the size of the unknown angle "x" is 108°

ASAP!!!!
Lilly spent $2.20 at the candy store. Her friend spent three times as much. How much money did Lilly and her friend spend in all?

Answers

$8.80 because 2.20*3 is 6.60+2.20 is 8.80

Answer:

Step-by-step explanation:

Lilly= 2.20$ spent

Friend= 2.20$ x 3= 6.60$ spent

6.60$+2.20$=

8.80$ total spent together

Which exponential model best represents the data?

Answers

Exponential model best represents the data is [tex]f(x)= 3(0.2)^{x}[/tex]

What is exponents?

A symbol written above and to the right of a mathematical expression to indicate the operation of raising to a power.

The given table values satisfied the fourth function.

If we put one by one all the values of x given in a table we get the corresponding value of f(x).

like, if we put -2 we get f(x)= 75 closer to 71

Hence, Exponential model best represents the data is [tex]f(x)= 3(0.2)^{x}[/tex]

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How much will a sum of ¥4000 amount to in 1 1/2 yrs at 10% per annum compound interest,interest being paid half-yearly​

Answers

Answer:

¥4630.50

Step-by-step explanation:

Compound Interest Formula

[tex]\large \text{$ \sf A=P(1+\frac{r}{n})^{nt} $}[/tex]

where:

A = final amountP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsed

Given:

P = 4000r = 10% = 0.1n = 2t = 1.5

Substitute the given values into the formula and solve for A:

[tex]\implies \sf A=4000\left(1+\dfrac{0.1}{2}\right)^{2 \times 1.5}[/tex]

[tex]\implies \sf A=4000\left(1.05\right)^{3}[/tex]

[tex]\implies \sf A=4630.50[/tex]

Answer:

¥4630.50

Step-by-step explanation:

Here,

P = ¥4000n = 1 1/2 = 3/2 yearsr = 10% per annum

ATQ, as well,the interest is payable in half-yearly.

We know that,

[By this formula,it could easily solved]

[tex] \boxed{\rm \: A = P \bigg(1+ \cfrac{ \cfrac{r}{2} }{100} \bigg) {}^{2n} }[/tex]

Substitute the values

[tex]A = 4000 \bigg(1 + \cfrac{5}{100} \bigg) {}^{2 \times \frac{3}{2} } [/tex]

Now solve.

[tex]A = 4000 * (21/20)^3[/tex]

[tex] \implies \: A = 4000 \times \cfrac{21}{20} \times \cfrac{21}{20} \times \cfrac{21}{20} = \cfrac{21 \times 21 \times 21}{2} [/tex]

[tex] \implies \: A = \: \yen \: 4630.50[/tex]

Hence,the sum of ¥ 4000 will be amounted to ¥4630.50 in 1 1/2 years.

[tex] \rule{225pt}{2pt}[/tex]

This question arises:Why we used that formula?

Reason:

The compound interest is calculated half-yearly, the formula changes a little.In this case for r we write r/2 and for n we write 2n because a rate of r% per annum is r/2% half-yearly and n years = 2n half year So this is the reason.

I need help with this

Answers

Answer:

1. obtuse angle

2. Right angle

3. Adjacent angle

4. Supplementary angle

5. Acute angle

6. Straight line

7. Complementary angle

8. Vertical Angle

9. linear

10. Vertex

Step-by-step explanation:

1. Obtuse angle are angle that measures greater than 90 degree but less and 180 degree

2. Right angle are angle that measures exactly 90 degree

3. Adjacent angle are angles that has a common vertex and share a common side

4. Straight angle is a pair of angle whose sum is 180 degree.

5. Acute angle is an angle greater than 0 degree but less than 90 degree

6. straight line measure exactly 180 degree

7. Complementary angle is a pair of angle whose sum is 90 degree.

8. Vertical Angle is a pair of angle made by intercepting lines with congruent opposite side

9. Linear is a pair of adjacent, supplementary angles.

10. Vertex is an common end point that two rays meet to form an angle.

Find cos 20 if theta is in the first
quadrant and tan 0 = 40/9

Answers

If the value of the angle θ is 77.32°. Then the value of cos 2θ will be the negative 0.90.

What is trigonometry?

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The trigonometric equation is given below.

tan θ = 40/9

tan θ = 4.444

Then the angle θ will be

θ = tan⁻¹(4.444)

θ = 77.32°

Then the value of cos 2θ will be

cos 2θ = cos (2 x 77.32°)

cos 2θ = cos 154.64°

cos 2θ = - 0.9036

cos 2θ ≅ - 0.90

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This list shows the lengths in feet of the 25 longest bridges in the United States.
1010
1470
1600
2000
2800
1053
1495
1632
2150
3500
1200
1596
1750
2150
3800
1207
1600
1800
2300
4200
1380
1600
1850
2310
4260

Jamie made a frequency table of the bridge data.
U.S. Bridges
Length (ft)
Tally
Frequency
(first interval)
|||| ||
7



(last interval)
||
2
Based on the tallies and frequencies for the first and last intervals, how many intervals of what length did Jamie use?

a.
4 intervals of 1000 feet
c.
6 intervals of 500 feet
b.
5 intervals of 1000 feet
d.
7 intervals of 500 feet


Please select the best answer from the choices provided

A
B
C
D

Answers

The length of the intervals of the given frequency table is

500 ft.

The given list shows the lengths in feet of the 25 longest bridges in the United States.

we have to determine the median and mode of the bridge data.

The median is the middle number of the data set arranged in ascending order.

1010, 1053, 1200, 1207, 1380, 1470, 1495, 1596, 1600, 1600, 1600, 1632, 1750, 1800, 1850, 2000, 2150, 2150, 2300, 2310, 2800, 3500, 3800, 4200, 4260.

The median is 1750.

Mode is the number that appears most often in the data set.

1010, 1053, 1200, 1207, 1380, 1470, 1495, 1596, 1600, 1600, 1600, 1632, 1750, 1800, 1850, 2000, 2150, 2150, 2300, 2310, 2800, 3500, 3800, 4200, 4260

The mode is 1600.

Therefore the correct option is Median: 1750, Mode: 1600

So the length of the intervals of the given frequency table is

500 ft.

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One Solution
No Solutions
Infinitely Many Solutions

2+y=3
−2x − y = −6

Answers

Answer:

it is -6. . . . . . . . . . . . . . . . .. ... . . . . . . .

Graph the linear equation.
4x+6y=-12

Answers

Answer:

Step-by-step explanation:

To graph an equation using the slope and y-intercept, 1) Write the equation in the form y = mx + b to find the slope m and the y-intercept (0, b). 2) Next, plot the y-intercept. 3) From the y-intercept, move up or down and left or right, depending on whether the slope is positive or negative.

A line that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represented by the equation y = mx + b.
A line is drawn on the coordinate plane that passes through the point (3,-6) and has a slope of 4. The y-intercept of the line is .

Answers

Answer:

b= -18

Step-by-step explanation:

x=3, y= -6, m=4

y=mx+b

-6 = 4 x 3 + b    Solve for b

-6 = 12 + b

-6-12 = b

b= -18

Answer:

b = -18

Step-by-step explanation:

Slope y-intercept form: y =mx +b

    Slope = m = 4

Plugin the value of slope in the above equation.

    y = 4x + b

Now, the line passes through the point (3 , -6). Substitute x and y coordinates in the above equation.

     -6 = 4*3 + b

     -6 = 12 + b

      b = -6 - 12

      b = -18

[tex]\sf \boxed{\bf y-intercept = -18}[/tex]

PLEASE HELP ITS DUE SOON IM SO CONFUSED! HELP NEEDED!!

Answers

Answer:

e

Step-by-step explanation:

According to Angle Sum Property :

∠A + ∠B + ∠C = 180°

============================================================

Given :

⇒ ∠A = 50°

⇒ ∠B = 32°

===========================================================

Solving :

⇒ 50° + 32° + ∠C = 180°

⇒ ∠C + 82° = 180°

⇒ ∠C = 98°

Dakota drained his 2,268 ft^3 pool to clean it. The pool is a rectangle with an area that can be expressed as 2x^4 + 10x^2 and a depth that can be expressed as x^2 if a gallon of water has a volume of 1/60 x^2 formulate a function which represents the gallons of water it takes to fill the pool.

Answers

The gallon of water required by Dakota to fill the pool will be given as:-

V(x) = 2x⁶ + 10x⁴.

What is a function?

A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.

Given that:-

Dakota drained his 2,268 ft³ pool to clean it. The pool is a rectangle with an area that can be expressed as 2x⁴ + 10x² The depth that can be expressed as x² if a gallon of water has a volume of 1/60 x²

The function which will represent the gallons of water will be:-

As it is given in the question the pool is of a rectangular shape so the volume of the pool will be calculated as:-

V = Area of the rectangular part x depth

V = ( 2x⁴ + 10x ²) ( x² )

V = 2x⁶ + 10x⁴.

Since the amount of the water will be equal to the volume of the pool so the function for the gallons will be given as;-

V (x) = 2x⁶ + 10x⁴.

Therefore gallon of water required by Dakota to fill the pool will be given as:-V(x) = 2x⁶ + 10x⁴.

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Suponga que los clientes demandarán 60 unidades de un producto cuando el precio es de $24 por unidad, y 40 unidades cuando el precio es de $20 cada una. suponiendo que es lineal. Determine el precio cuando se requiere 50 unidades.

Answers

Considerando la ecuación lineal, cuando se requiere 50 unidades, el precio será $22.

Qué es la ecuación lineal

Una ecuación lineal o línea se puede expresar en la forma y = mx + b.

dónde

x e y son coordenadas de un punto.m es la pendiente.b es la ordenada al origen y representa la coordenada del punto donde la línea cruza el eje y.

Conociendo dos puntos (x1, y1) y (x2, y2) de una recta, se puede calcular la pendiente m de dicha recta mediante la siguiente expresión:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

Sustituyendo el valor de la pendiente m y el valor de uno de los puntos en la expresión de una ecuación lineal, y = mx + b, se obtiene el valor de la ordenada al origen b.

Precio de 50 unidades de un producto

En este caso, siendo la ecuación lineal Precio=m× cantidad + b, sabes que los clientes demandarán 60 unidades de un producto cuando el precio es de $24 por unidad, y 40 unidades cuando el precio es de $20 cada una. Esto es:

(x1, y1)= (60, 24)(x2, y2)= (40, 20)

Entonces, la pendiente m es calculada mediante la siguiente expresión:

[tex]m=\frac{20-24}{40-60}[/tex]

Resolviendo:

m= 0.2

Entonces, considerando el valor de la pendiente m y el punto 1, el valor de la ordenada al origen b se calcula como:

24 = 0.2× 60 + b

24 = 12 + b

24 -12= b

12= b

Entonces. la relación entre la cantidad de unidades y precio es Precio=0.2×cantidad + 12

Entonces, cuando se requiere 50 unidades, el precio será calculado como:

Precio=0.2×50 + 12

Resolviendo:

Precio= 22

Finalmente, cuando se requiere 50 unidades, el precio será $22.

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Dean started with 5 meters
of yarn. He used 300
millimeters of yarn each day
for 5 days. How many
meters of yarn does Dean
have left?

Answers

Answer:

3.5 meter is the answer.

Answer:

3.5 Meters

Step-by-step explanation:

5 Meters is equivalent to 5000 millimeters

1 day = 300mm

5 days = (300*5)

= 1500 mm

= 5000 mm - 1500 mm

Yarn left = 3500 mm

= 3.5 Meters

(URGENT) Madelina wants to make a prediction using a linear model with a correlation coefficient of 0.55. Which statement best describes how accurate she can expect her prediction to be? Her prediction will probably be close to the actual value. Her prediction will be unlikely to be close to the actual value. Her prediction will be somewhat likely to be close to the actual value. Her prediction will very likely be close to the actual value.

Answers

A correlation coefficient of 0.55 indicates that her prediction will probably be close to the actual value.

What is correlation coefficient?

The correlation coefficient shows the relationship between two variables. It can be used to describe how to variables increase or decrease.

Thus, a correlation coefficient of 0.55 indicates that her prediction will probably be close to the actual value.

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Read the sentence. I quit the French Club because it was necessary for me to watch my little sister after school. Which part of this sentence is too wordy? When it comes to public speaking, some people are naturally good at it andthose not born with it are unable to become strong speakers.TrueFalse i will give somebody 15 points if you answer how many hours are in the day time 5 questions1What kind of games are played in esports?Agames that use a ball and a stickBgames with lots of runningCvideo games or computer gamesDold games or made-up games2 What comparison does the author make to showd (b) Evan also has a bag of apples that weighs 3.545 pounds. The value of the digit 5 in the tenths place of 3.545 is how many times the value of the digit 5 in the thousandths place? Explain. Which is an example of external conflict in The Crucible? A. John feels guilty for having an affair with Abigail. B. Mary tries to overcome her fear and tell the truth. OC. Elizabeth struggles to forgive her husband. OD. Giles accuses Putnam of trying to steal people's land. O What value of g makes the equation true?0.25 (g+1.5) = 2 -1 2 6.5 9.5 PLSSS HELPP I BEG I'LL MAKE BRAINLIEST TO THE CORRECT ANSWER Elevated brain levels of the transmitter ________ function to inhibit aggression. serotonin GABA dopamine Glutamate What is the technical definition of Telephone Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers. If necessary, use / for thefraction bar(s).A caf owner is designing a new menu and wants to include a decorative border around the outside of her food listings. Due to the cost ofprinting, the border should have an area of 48 square inches. The width of the border needs to be uniform around the entire menu. She hasalready determined that her food listings will fit within a 13-inch by 9-inch rectangular area.13 in9 inThe area of the decorative border can be modeled by the following equation, where x represents the width of the decorative border.x+X=Is it reasonable for the border to be 2.5 inches wide?(yes/no) Given: p || q, and r || s.Linear pair theorem that is angle 1 is supplementary to angle 2 moves down to angle 2 equals angle 6. As for parallel lines cut by a transversal, corresponding angles are congruent. This moves down to blank box with question mark.Prove: 1 and 14 are supplementary angles.Two vertical parallel lines p and q runs through two horizontal parallel lines r and s to form 16 angles numbered from 1 to 16.What is the next step in the proof? Choose the most logical approach. NEED HELP FOR A TEST, PLEASE :) (30 POINTS)Match each condition to the number of triangles that can be constructed to fit the condition.condition A: one sidemeasuring 4 inches,another side measuring8 inches, and a thirdside measuring 10 inchescondition B: one anglemeasuring 60, anotherangle measuring 40, anda third angle measuring 90condition C: one side measuring 4 inches, another side measuring8 inches, and the angle between them measuring 70condition D: one side measuring 5 inches, another side measuring7 inches, and a third side measuring 12 inchescondition E: one anglemeasuring 30, anotherangle measuring 80,and the length of the included side measuring8 inchescondition F: one anglemeasuring 40, anotherangle measuring 80, anda third angle measuring 60-no triangles-one triangles-many triangles One of the roots of the equation x^2-13x+q=0 is 12. Find the other root in the value of the coefficient Q. How do you believe American society/culture has affected/ impacted being able to access to resources (education, loans, jobs, housing, health etc.) In triangle PQR,PQ=13 cm ,QR=18 cm and PR = 11 cm. Find the size of the largest angle. internal control systems maintain homeostasis by regulating which of these? 1. A person weighing 1200 N is supported on an inflated air pillow. The total area of the soles of his shoes is 0.1 m. Calculate the minimum pressure of the air inside the pillow. choose the best answer Write a function in any form that would match the graph shown below.