Answer:
the answer is A
Step-by-step explanation:
on edgy
The triangles △ACB ~ △DCE are similar by AA similarity theorem.
What is AA similarity theorem?If any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other.
Given Triangle ABC with Line DE drawn inside the triangle and parallel to side AB. The line DE forms a new triangle DCE.
Because AB∥DE and segment CB crosses both lines, we can consider segment CB a transversal of the parallel lines.
Angles CED and CBA are corresponding angles of transversal CB and are therefore congruent, so ∠CED ≅ ∠CBA.
We can state ∠C ≅ ∠C using the reflexive property.
Therefore, △ACB ~ △DCE by the AA similarity theorem.
For more references on similarity, click;
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Researcher were testing out a new antibiotic on a certain bacteria. They started with 38,000 bacteria. After one treatment with antibiotics, 33,820 were left. After a second treatment, 30,100 bacteria were left. How many bacteria will be left on day 27
Answer:
1836 bacteria
Step-by-step explanation:
Now the data is a progression; 38,000, 33,820, 30,100 .........
We can find out what type of progression it is, in this case, we can see that it is a geometric progression because;
r= 33,820/38,000 = 30,100/33,820 = 0.89
So, for a geometric progression;
Un = ar^n-1
Where;
a = 38,000
r = 0.89
n = 27 days
Un = ???
Un = 38,000 * (0.89)^27 - 1
Un = 1836 bacteria
I'm not quite sure which one it is...can someone help? I'm leaning more to B,C,D but mostly B.
write the equation of the line that is parallel to the line 2x + 5y= 15 and passes through the point (-10, 1)
Answer:
y = (2/5)x -1
Step-by-step explanation:
Answer:y is (2/5) x minus 1
Step-by-step explanation:
Help will mark brainliest
Answer:
36
Step-by-step explanation:
Each day that Samantha rides the train to work, she pays $4.00 each way. If Samantha takes the train to work and back 3 times, which amount represents the change in her money?
Answer:
Total ticket expenses = $24
Step-by-step explanation:
Given:
Each way cost = $4
Total ways = 3 x 2 = 6 times
Find:
Total ticket expenses
Computation:
Total ticket expenses = Each way cost x Total ways
Total ticket expenses = 4 x 6
Total ticket expenses = $24
What is the measure, in radians, of central angle POQ? StartFraction 2 pi Over 3 EndFraction radians StartFraction 3 pi Over 4 EndFraction centimeters StartFraction 4 pi Over 3 EndFraction radians StartFraction 3 pi Over 2 EndFraction radians
Answer:
The answer is "[tex]\bold{\frac{2 \pi}{3}}[/tex]"
Step-by-step explanation:
Please find the complete question in the attached file.
Using formula:
[tex]\to \bold{\theta = \frac{S}{r}}[/tex]
Where,
[tex]\theta =central \ angle \\\\{S} = arc \ length\\\\{r} = radius \ length[/tex]
[tex]\to \theta = \frac{PQ }{OQ}[/tex]
[tex]=\frac{6 \pi}{9} \\\\ = \frac{2 \pi}{3}[/tex]
The radian measure of central angle POQ is 3π/4 radians. Option b) is the correct option.
Line segments PO and QO are radii.
We need to find the radian measure of central angle POQ.
How to find the relation between angle subtended by the arc, the radius and the arc length?[tex]2\pi^c = 360^\circ = \text{Full circumference}[/tex]
The superscript 'c' shows angle measured is in radians.
If the radius of the circle is of r units, then:
[tex]1^c \: \rm covers \: \dfrac{circumference}{2\pi} = \dfrac{2\pi r}{2\pi} = r\\\\or\\\\\theta^c \: covers \:\:\: r \times \theta \: \rm \text{units of arc}[/tex]
We know that
π radians = 180°
Therefore,
180° = π radians
135° = x
180° × x = 135° × π radians
x = 135° × π radians/180
x = 3π/4 radians
Hence, the radian measure of central angle POQ is 3π/4 radians. Option b) is the correct option.
Learn more about angle, arc length relation here:
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Multiply 2ab(−a+2b+3).
−2a2b+4ab2+6ab
8a2b2
−2a +2ab+3b
8ab
Answer:
−2a2b+4ab2+6ab
Step-by-step explanation:
i took the test
Define Commission in your own words
Answer:
commision-an instruction, command, or duty given to a person/people
brainliest please?
Step-by-step explanation:
. A flagpole is standing in front of City Hall. Percy, who is standing near the flagpole is 5' tall and casts a shadow 3' long. If the flagpole casts a shadow 36' long, how tall is the flagpole
Answer:
The flagpole is 60'(60 inches) tall
Step-by-step explanation:
A flagpole is standing in front of City Hall. Percy, who is standing near the flagpole is 5' tall and casts a shadow 3' long. If the flagpole casts a shadow 36' long, how tall is the flagpole
The formula is given as:
Height of percy/ Shadow of percy = Height of flagpole/Shadow of flagpole
Height of percy = 5 inches
Shadow of percy = 3 inches
Height of flagpole = ??
Shadow of flagpole =36 inches
= 5/3 = x/36
Cross Multiply
3 × x = 36 × 5
3x = 36 × 5
x = 36 × 5/3
x = 60 inches
Therefore, the flagpole is 60'(60 inches) tall.
If p=1/3 what is 12p
Step-by-step explanation:
Given
[tex] p \: = \frac{1}{3} \\ 12p \: = 12 \times \frac{1}{3} \\ = 4[/tex]
Hope it will help :)
Answer:
4
Step-by-step explanation:
as p = 1/3
12p = 12×*(1/3) [because p =1/3]
= 12/3
= 4
A blueprint is a scale drawing of a building. The dimensions of the blueprint for Patricia doll house are 1/2 of the measurements of the actual doll house. The floor of the doll house has an area of 1,176 square inches. If the width of the doll house is 2/3 the length, what are the dimensions of the floor on the blueprint of the doll house? ___ inches by ___ inches
Answer:
no entiendo
Step-by-step explanation:
In the triangle below, with right angle A, suppose that m is Angle B=(5x+7) and m is Angle C=(4x+29) Find the degree measure of each angle in the triangle. A= 90 B=(5x+7) C=(4x+29)
Given:
Triangle ABC is right angled at A.
[tex]m\angle B=(5x+7)^\circ[/tex]
[tex]m\angle C=(4x+29)^\circ[/tex]
To find:
The degree measure of each angle in the triangle.
Solution:
According to the given information,
[tex]m\angle A=90^\circ[/tex]
[tex]m\angle B=(5x+7)^\circ[/tex]
[tex]m\angle C=(4x+29)^\circ[/tex]
Now,
[tex]m\angle A+m\angle B+m\angle C=180^\circ[/tex] (Angle sum property)
[tex]90^\circ+(5x+7)^\circ+(4x+29)^\circ=180^\circ[/tex]
[tex](9x+126)^\circ=180^\circ[/tex]
[tex]9x+126=180[/tex]
[tex]9x=180-126[/tex]
[tex]9x=54[/tex]
Divide both sides by 9.
[tex]x=\dfrac{54}{9}[/tex]
[tex]x=6[/tex]
Now,
[tex]m\angle A=90^\circ[/tex]
[tex]m\angle B=(5(6)+7)^\circ[/tex]
[tex]m\angle B=37^\circ[/tex]
[tex]m\angle C=(4(6)+29)^\circ[/tex]
[tex]m\angle C=53^\circ[/tex]
Therefore, the measures of ∠A, ∠B, ∠C are 90°, 37°, 53° respectively.
Answer:
(6×-5)°× (×+9)°w(4×)°y
Identify the correct corresponding parts
Answer:
The correct corresponding part is;
[tex]\overline {CB}[/tex] ≅ [tex]\overline {CD}[/tex]
Step-by-step explanation:
The information given symbolically in the diagram are;
ΔCAB is congruent to ΔCED (ΔCAB ≅ ΔCED)
Segment [tex]\overline {CA}[/tex] is congruent to [tex]\overline {CE}[/tex] ( [tex]\overline {CA}[/tex] ≅ [tex]\overline {CE}[/tex])
Segment [tex]\overline {CB}[/tex] is congruent to [tex]\overline {CD}[/tex] ( [tex]\overline {CB}[/tex] ≅ [tex]\overline {CD}[/tex])
From which, we have;
∠A ≅ ∠E by Congruent Parts of Congruent Triangles are Congruent (CPCTC)
∠B ≅ ∠D by CPCTC
Segment [tex]\overline {AB}[/tex] is congruent to [tex]\overline {DE}[/tex] ([tex]\overline {AB}[/tex] ≅ [tex]\overline {DE}[/tex]) by CPCTC
Segment [tex]\overline {AE}[/tex] bisects [tex]\overline {BD}[/tex]
Segment [tex]\overline {BD}[/tex] bisects [tex]\overline {AE}[/tex]
Therefore, the correct option is [tex]\overline {CB}[/tex] ≅ [tex]\overline {CD}[/tex]
Help! I don’t know if I’m right
Answer:
B
Step-by-step explanation:
when dividing powers, you just subtract them so in this case subtract 6-4 which will be 2. so your answer is 11².
A table shows a proportional relationship where k is the constant of
proportionality. The rows are then switched. How does the new constant of
proportionality relate to the original one? *
Combine like terms.
(8b+ 12) + (3n + 6) + (9b-4)
(8b + 12) + (3n+6) + (9b - 4) =((Simplify your answer.)
+
Answer:
(8b + 12) + (3n+6) + (9b - 4)
= 8b + 12 + 3n + 6 + 9b - 4
= 17b + 3n + 14
Ellis is counting license plates while her family is on a road trip. She has counted 111 plates each from 8 different states. Estimate how many license plates Ellis has counted in all. Round the larger factor to the nearest hundred to estimate.
Answer: 880
Step-by-step explanation: 111 to the nearest hundred is 110 x 8= 880
It takes 6 workers from the Fast Movers Company 10 hours to unload 6 trucks. It takes 10 workers from the Careful Movers Company 8 hours to load 2 trucks. How long would it take 4 workers from the Fast Movers Company and 8 workers from the Careful Movers Company to unload 8 trucks?
Answer:
The time it would take 4 workers from the Fast Movers Company and 8 workers from the Careful Movers company to unload 8 trucks is 13 hours and 20 minutes
Step-by-step explanation:
The time it takes 6 workers from the Fast Movers Company to unload 6 trucks = 10 hours
The time it takes 10 workers from the Careful Movers Company to load 2 trucks = 8 hours
Therefore, when 1 worker of the Fast Movers Company is unload 1 truck each of the 6 trucks it takes 10 hours
Which gives the time for 1 worker of the Fast Movers Company is unload 1 truck = 10 hours, which gives;
10 worker hours per truck or 10 worker·h/(truck)
Similarly we have;
The time it takes 10 workers of the Careful Movers Company to load 2/2 = 1 truck = 8/2 = 4 hours
Therefore, the time it would take 1 worker of the Careful Movers Company to load 1 truck = 10 × 4 hours = 40 hours, which gives;
40 worker·h/(truck)
Let "t" represent the time it would take 4 workers from the Fast Movers Company and 8 workers from the Careful Movers Company to unload 8 trucks
We have;
[tex]\dfrac{4 \ workers \times t }{\left (\dfrac{10 \ worker \cdot hour}{truck} \right ) } + \dfrac{8 \ workers \times t }{\left (\dfrac{40 \ worker \cdot hour}{truck} \right ) } = 8 \ trucks[/tex]
Which can be simplified as follows;
[tex]\dfrac{4 \ trucks \times t }{10 \cdot hour} + \dfrac{8 \ trucks \times t }{40 \cdot hour} = t \times \left ( \dfrac{4 \ trucks }{10 \cdot hour} + \dfrac{8 \ trucks }{40 \cdot hour} \right ) = 8 \ trucks[/tex]
[tex]t = \dfrac{8 \ trucks}{\left ( \dfrac{4 \ trucks }{10 \cdot hour} + \dfrac{8 \ trucks }{40 \cdot hour} \right ) } = \dfrac{8 \ trucks}{\left ( \dfrac{3 \ trucks }{5 \ hour} \right ) } = \dfrac{5 \ hour\times 8 \ trucks}{3 \ trucks } \right ) } = \dfrac{40}{3} \ hours[/tex]
t = 40/3 hours = 13 hours and 20 minutes
The time it would take 4 workers from the Fast Movers Company and 8 workers from the Careful Movers company to unload 8 trucks = 13 hours and 20 minutes
6+8b-2b^2+3b^4
The polynomial in standard form is _
Answer:
3b^4−2b^2+8b+6
Your new job is at the custom t shop, where t-shirts are printed to order. For each order, custom t shop charges $8.00 per shirts plus a one time set up fee for $15.00
Answer:
Price = 15+8t
Step-by-step explanation:
Your new job is at the custom t shop, where t-shirts are printed to order.
For each order, custom t shop charges $8.00 per shirts plus a one time set up fee for $15.00.
Here, $15 remain fix and $8 increases with number of shirts.
Price = 15+8t
Hence, the price of the t-shirts is "15+8t".
HELPPP NEED THIS IN 10 MINSSSS!!!
Answer:
120 square units.
Step-by-step explanation:
Area= Base x Height.
So given that, in this equation...
Area=12x10.
12x10=120.
10,20,30,40,50,60,70,80,90,100,110,120
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
12,24,36,48,60,72,84,96100,120.
PLEASE HELP ME FAST!!! Monica's bicycle wheel has a radius of 16 inches. Kevin's tricycle wheel has a radius of 8 inches. How many times larger is the circumference of Monica's wheel that the circumference of Kevin's tricycle wheel? Show your work
Answer:
50.2 inches
Step-by-step explanation:
The wheel of a tricycle is circular in shape.
The circumference of a circle = 2πr
For Monice
Monica's bicycle wheel has a radius of 16 inches.
The circumference of her bicycle wheel = 2 × π × 16
= 100.53096491 inches
Approximately = 100.5 inches
For Kevin
Kevin's tricycle wheel has a radius of 8 inches.
The circumference of his wheel =
2 × π × 8
= 50.265482457 inches
Approximately = 50.3 inches
How many times larger is the circumference of Monica's wheel that the circumference of Kevin's tricycle wheel?
This is calculated as:
Circumference of Monica's wheel - Circumference of Kevin's wheel
= 100.5 inches - 50.3 inches
= 50.2 inches
Hence: Monica's wheel is 50.2 inches larger than Kevin's wheel
Answer: All I know is I got a 1/2 points on my open ended question. Monica’s bicycle wheel is 2 times larger than Kevin’s.
Step-by-step explanation: I think you add or multiply or divide. I gotta figure it out myself.
How do you know that ∠x ≅ ∠y?
Question 21 options:
Vertical angles are congruent.
Opposite angles are congruent.
Reflexive angles are congruent.
Inverse angles are congruent.
Answer:
opposite angles are congruent
Step-by-step explanation:
angle x and angle y are opposite angles
What is the value of 10 – x – 7 when the value of x is 3?
Answer: the value is 0
Step-by-step explanation:
we simply substitute the letter for the number 3.
10 - 3 - 7
7 - 7
0
What is the missing angle. Find x
Answer:
20 20202020020200220020200
Step-by-step explanation:
help me yall like sis
Answer:
x= 10
Step-by-step explanation:
8x+30=110
8x+30-30=110-30
8x=80
8x/8=80/8
x=10
Answer:
x=10
Step-by-step explanation:
Vertical angles are always congruent, those to angles are vertical angles so they are congruent.
Set them equal to each other:
110=8x+30 subtract 30 from both sides
80=8x divide by 8 on both sides
x=10
Hope this helps :)
Work needs to be shown please someone help and don’t answer for your benefit with no intention to help
Answer:
[tex]\frac{x+3}{x+2}[/tex]
Step-by-step explanation:
[tex]\frac{x^2+10x+21}{x^2+9x+14}[/tex] Factor the expressions that are not already factored.
=
[tex]\frac{(x+3)(x+7)}{(x+2)(x+7)}[/tex] Cancel out x+7 in both numerator and denominator.
=
[tex]\frac{x+3}{x+2}[/tex]
Choose the expression that is equivalent to the expression shown below.
n4+n4+n4+n4
n
14n
4n
0
Answer: 16n
Step-by-step explanation:
4 + 4 + 4 + 4 = 16
=16n
Determine the type of function each table represents. Write “linear”, “exponential”, or “neither”.
Two-way table with x-values 0, 1, 2, 3, 4 and y-values 0, 1, 4, 9, 16
[ Select ]
Two-way table with x-values 0, 1, 2, 3, 4 and y-values 1/3, 1, 3, 9, 27
[ Select ]
Two-way table with x-values 0, 1, 2, 3, 4 and y-values 5, 5/2, 5/4, 5/8, 5/16
[ Select ]
Two-way table with x-values 0, 1, 2, 3, 4 and y-values 4.5, 4, 3.5, 3, 2.5
[ Select ]
Answer:
1) Neither
2) Exponential
3) Exponential
4) Linear
Step-by-step explanation:
1) x-values [tex]{}[/tex] y-values
0 [tex]{}[/tex] 0
1 [tex]{}[/tex] 1
2 [tex]{}[/tex] 4
3 [tex]{}[/tex] 9
4 [tex]{}[/tex] 16
Therefore, we have, the relationship of the function given as_f(x) = x² Which is neither a linear function nor an exponential function
2) x-values [tex]{}[/tex] y-values
0 [tex]{}[/tex] 1/3
1 [tex]{}[/tex] 1
2 [tex]{}[/tex] 3
3 [tex]{}[/tex] 9
4 [tex]{}[/tex] 27
The relationship between 'x', and 'y' is given as follows;
f(x) = 3⁽ˣ⁻¹⁾
Therefore, the relationship between 'x', and 'y', is an exponential relationship, and the function is an exponential function
3) x-values [tex]{}[/tex] y-values
0 [tex]{}[/tex] 5
1 [tex]{}[/tex] 5/2
2 [tex]{}[/tex] 5/4
3 [tex]{}[/tex] 5/8
4 [tex]{}[/tex] 5/16
The relationship between 'x', and 'y' is given as follows;
f(x) = 5×(1/2)ˣ
Therefore, the relationship between 'x', and 'y', is an exponential relationship, and the function is an exponential function
4) x-values [tex]{}[/tex] y-values
0 [tex]{}[/tex] 4.5
1 [tex]{}[/tex] 4
2 [tex]{}[/tex] 3.5
3 [tex]{}[/tex] 3
4 [tex]{}[/tex] 2.5
The given data for the y-values has a constant first common difference of 4 - 4.5 = -0.5, therefore, the relationship between the 'x', and 'y' values is a linear relationship.
Answer:
Step-by-step explanation:
Linear
help me pleaseee will give brainliest
Answer:
[tex]x_1=5,\\x_2=2[/tex]
Step-by-step explanation:
Problem 1:
The angles [tex]\angle 3[/tex] and [tex]\angle 7[/tex] are corresponding, and thus are equal to each other. We can then set up the following equation:
[tex]5x+2=27,\\5x=25,\\x=\fbox{$5$}[/tex].
Problem 2:
The angles [tex]\angle 6[/tex] and [tex]\angle 4[/tex] are supplementary, meaning they add up to [tex]180^{\circ}[/tex]. Therefore, we have the following equation:
[tex]18x+144=180,\\18x+36,\\x=\fbox{$2$}[/tex].
Answer:
1st answer is 5°
Step-by-step explanation:
Z3 = Z7
or, 5x + 2 = 27°
or, 5x = 25°
or, x = 5°
:-))