Answers
Answer:
15
Step-by-step explanation:
As we can see, we have the total ratio as;
5 + 2 + 1 = 8
Total of NQ is 24
The ratio accorded to NO is 5
so we have the length of NO as;
5/8 * 24 = 15
Related Questions
Simplify (8.3) 2.10.(6-1)
Answers
Answer:
[tex]8 .3 \times 2.10.5[/tex]
Step-by-step explanation:
Simplify 6 - 1 to 5.
[tex]8.3 \times 2.10 .5[/tex]
Therefor, the answer is 8.3 × 2.10.5
Andres y Jorge fueron a una dulcería, Andrés compró 5 chocolates y 1 paleta por lo que pagó $26 y Jorge compró 2 chocolates y 1 paleta y pagó $14, ¿Cuál es el precio de cada chocolate y cada paleta?
Answers
Answer:
Precio del chocolate = x = $ 4
Precio de la paleta = y = $ 6
Step-by-step explanation:
Vamos a representar
Precio del chocolate = x
Precio de la paleta = y
Andrés y Jorge fueron a una tienda de dulces, Andrés compró 5 chocolates y 1 paleta por la que pagó $ 26
= 5x + y = 26 ...... Ecuación 1
Jorge compró 2 chocolates y 1 paleta y pagó $ 14.
2x + y = 14 ....... Ecuación 2
Combinando ambas ecuaciones juntos resolvemos usando el método de eliminación
Restamos la Ecuación 2 de la Ecuación 1
5x + y = 26 ...... Ecuación 1
2x + y = 14 ....... Ecuación 2
3 veces = 12
x = 12/3
x = $ 4
Resolver para y usando la Ecuación 1
5x + y = 26 ...... Ecuación 1
5 (4) + y = 26
20 + y = 26
y = 26 - 20
y = $ 6
Por lo tanto, el precio de cada chocolate y cada paleta:
Precio del chocolate = x = $ 4
Precio de la paleta = y = $ 6
Journal; 1.8.4, geometry
2. Looking at the Consecutive Interior Angles (9 points)
Look at the diagram of the scenario below. A steep downhill ski slope is intersected at an angle by a less steep ski slope. Safety fences need to be set up in the locations shown. The angles of the fences, angles 1 and 2, can be determined by finding the relationship between the angles a and b.
Draw a geometric diagram of this scenario using two parallel lines and one transversal. (Remember that a transversal is a line which cuts across parallel lines.) Label the angles, parallel lines, and transversal as indicated in the diagram above. (2 points)
Starting with the fact that angles 1 and a are a linear pair and that angles b and 2 are also a linear pair, use a two column proof to prove that consecutive interior angles a and b are supplementary. (5 points)
Statement Reason
Explain what the result of your proof tells you about angles a and b. Specifically, if you measured one angle, what would you know about the other? (2 points)
3. The Exterior Angles (6 points)
The fences will be aligned with the exterior angles ∠1 and ∠2. What are some other relationships you can see between ∠1, ∠2, ∠a, and ∠b? (2 points)
Which of the relationships you listed above will be the most helpful in figuring out the measurements of the safety fences? (2 points)
What is the measure of ∠2? (2 points)
4. Reflections (2 points: 1 point each)
Can you think of any other real-life scenarios where parallel lines and transversals exist?
What are the limitations of the ski slope scenario as a real-life example?
Answers
The measurement of the angles formed between parallel lines having a common transversal are readily determined by the relationship between the angles
The measures of the angles in the figures are as follows;
2. The required two column proof is presented as follows;
Statement [tex]{}[/tex] Reason
∠1 and ∠a are linear pair angles [tex]{}[/tex] Given
∠1 + ∠a = 180° [tex]{}[/tex] Linear pair ∠s are supplementary
∠2 and ∠b are linear pair angles [tex]{}[/tex] Given
∠2 + ∠b = 180° Linear pair ∠s are supplementary
∠a and ∠b are consecutive interior ∠s [tex]{}[/tex] Definition
x║y [tex]{}[/tex] Given
∠1 and ∠b are corresponding angles [tex]{}[/tex] Definition
∠1 ≅ ∠b [tex]{}[/tex] Corr. ∠s formed between║ lines
∠1 = ∠b [tex]{}[/tex] Definition of congruency
∠a + ∠b = 180° Substitution property
∠a and ∠b are supplementary [tex]{}[/tex] Definition
The information obtained from the proof is that given ∠1 and ∠b are located in corresponding locations relative to the common transversal of the parallel lines, they (∠1 and ∠b) are equal, and therefore, the the sum of ∠a and ∠b is 180°, given that the sum of ∠1 and ∠a is 180° by substitution property of equality. Which gives that ∠a and ∠b are supplementary angles. Therefore
If the measure of one of the angles ∠a or ∠b is known, the other angle is given by subtracting the known angle from 180°3. Some of the other relationships between ∠1, ∠2, ∠a, and ∠b, are;
∠1 and ∠b are corresponding angles, therefore, ∠1 ≅ ∠b, by corresponding angles formed between parallel lines∠2 and ∠a are corresponding angles, therefore, ∠2 ≅ ∠a, by corresponding angles formed between parallel lines ∠1 and ∠2 are same side exterior angles and they are therefore supplementary. ∠1 + ∠2 = 180°The relationship that will be most helpful in figuring the measurement of the safety fences is the relationship between ∠1 and ∠2; ∠1 + ∠2 = 180°The measure of ∠2 = 180° - ∠1
4. A real-life scenario where parallel lines and transversal exist are the handrail and baluster on railings of staircases
The limitations of the Ski slope scenario are;
The direction of the trail of the skier are usually along or parallel to the slopeThe slope is wide and usually lacks obstruction, and therefore, has few transversalsThe ski slope is usually located away from or follows a different direction from other ski slopesLearn more about parallel lines having a common transversal here:
https://brainly.com/question/2188951
c. Explain what the result of your proof tells you about angles a and b.
Specifically, if you measured one angle, what would you know about the
other? (2 points)
Solve for x: three halves plus one half times x equals two x
x equals two thirds
x = 1
x = 2
x = 3
Answers
Answer:
b) x = 1
Step-by-step explanation:
Given statement,
→ three halves plus one half times x is equals two x.
Forming the equation,
→ (1/2) + (1/2) + (1/2) + (1/2)x = 2x
Now the value of x will be,
→ (1/2) + (1/2) + (1/2) + (1/2)x = 2x
→ (1 + 1 + 1)/2 = 2x - (1/2)x
→ 3/2 = ((4 - 1)/2)x
→ 3/2 = (3/2)x
→ (3/2)x = 3/2
→ x = (3/2) × (2/3)
→ x = (3 × 2)/(2 × 3)
→ x = 6/6
→ [ x = 1 ]
Hence, the value of x is 1.
(2x + y) (2x + 2y) =
Answers
Answer: 4x^2 + 6xy + 2y^2
Step-by-step explanation:
(2x + y)(2x + 2y) =
2x*2x + 2x*2y + y*2x + y^2y =
4x^2 + 4xy + 2xy + 2y^2 =
4x^2 + 6xy + 2y^2
Answer:
4x² + 6xy + 2y²
Step-by-step explanation:
Given
(2x + y)(2x + 2y)
Each term in the second factor is multiplied by each term in the first factor, that is
2x(2x + 2y) + y(2x + 2y) ← distribute both parenthesis
= 4x² + 4xy + 2xy + 2y² ← collect like terms
= 4x² + 6xy + 2y²
Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions.
Site 1: Solving Right
Triangles"
In addition to the trigonometric ratios, what other methods can be used to solve a right triangle? Give situations for when you might want to
use them. (Site 1)
Answers
Answer:
a
Step-by-step explanation:
Can someone plz help me with this!!!
Answers
Answer:
11.5
Step-by-step explanation:
-1*-11.5=11.5
uv= u times v
-1 times -11.5 equals 11.5
please can anyone help? its due in 5 mins
Answers
Answer:
91.08
Step-by-step explanation:
To find diameter, divide the circumference by pi or 3.14
286/3.14 = 91.0828025
Round to nearest hundredth
Calcule (1/2)-² POR FAVOR RESPONDEM
Answers
Answer:
I think it's 1/4 or .25
6/12 + 6/24 + 1/4 =
I don't rember how to do this
Answers
Answer:
1
Step-by-step explanation:
6/12=1/2
6/24=1/4
1/2+1/4+1/4=1/2+2/4=2/4+2/4=4/4=1
Answer:
answer is 1
you divide and add them.
PEMDAS
??? Answers please.....
Answers
what is -7 – 4 – (-6)
Answers
Answer:
-5
Step-by-step explanation:
Answer:
-7 - 4 -(-6)
-7 + - 4 - (-6)
-11 - (-6)
-11 + 6 = -5
Step-by-step explanation:
When looking at -7- 4, you can use the KCC rule, Keep, Change, Change. -7 would stay the same, but - would turn into a + and so would 4 to -4.
Now, -7 + - 4 would equal to -11. And bring down the -(-6).
When you look at two negative signs the become a positive sign, so it would now be +6.
Now, you subtract because 11 is the bigger number and you have to take it's sign, which is negative to the answer.
Therefore, your answer is -5. Hope this helps
Select the end behavior of the exponential function shown in the graph
Answers
Answer:
The x graph
Step-by-step explanation:
The x graph
Answer: D
Step-by-step explanation:
Express as a single power in base 5.
125 x 5^19X (25)3
Answers
Answer:
im pretty sure its 3 plz tell me if im wrong im new here but i think its right
Step-by-step explanation:
I'm a quadrilateral with only 1 pair of parallel sides. Which shape am I?
Answers
answer:
haha my teacher saw my screen ( since im in-school ) and he said that you were a trapezoid
i would have answered this question in more detail but i didnt know how to, hope this help tho! :)
The area of a rectangle is 27 it?, and the length of the rectangle is 3 ft less than twice the width. Find the dimensions of the
rectangle
Answers
The length of a rectangle is 3 feet less than twice its width and area of rectangle is 27 ft2. Find the dimension
Length= Width= should not be a negative number.
ANSWER 1: W=4.5 ft The width is 4.5 feet.
Distribute and simplify these radicals. 23-(V+ 3) O 2V5 + 6 02/15 O 30 O 6/2+6
Answers
Answer:
A)
Step-by-step explanation:
What is the solution to this system of equations?
x = 12 − y
2x + 3y = 29
A.
x = 8, y = 4
B.
x = 6, y = 6
C.
x = 7, y = 5
D.
x = 9, y = 3
Answers
Answer:
c
Step-by-step explanation:
36-29=
[tex]36 - 29 = 3x - 2x + 3y - 3 \\ 7 = x \\ 12 = 7 + y \\ 12 - 7 = y \\ 5 = y[/tex]
Answer:
is is C
Step-by-step explanation:
i did the test
AC = 4 miles, BE = 3 miles and FD = 2 miles What is the area of this quadrilateral?
Answers
Answer:
Step-by-step explanation:
Help Me, Now! A. What equation represents the amount of money in Kade's account as a function of weeks passed?
Answers
Answer:
Step-by-step explanation:
Collin is building a deck on the back of his family's house. He has enough lumber for the deck to be 75
square feet. The length should be 10 feet more than its width. The situation can be represented by w2
+ 10w - 75 = 0. What should the width of the deck be?
A. 15
B. -5
C. -15
D. 5
Answers
Answer:
A. 15
Step-by-step explanation:
Write a cubic function whose graph goes through the points: (-5, 0) (1, 0) (2, -2) (4, 0)
Answers
Answer:
Step-by-step explanation:
From points (-5,0),(1,0),(4,0) we know it has the form
y=(x+5)(x-1)(x-4)
y=(x^2+4x-5)(x-4)
y=x^3-4x^2+4x^2-16x-5x+20
y=x^3-21x+20
Then it must pass through the point (2,-2) so
-2=[2^3-21(2)+20]b
-2=[8-42+20]b
-2=[-14]b
b=1/7 so the equation is
y=(x^3-21x+20)/7
can anyone help on this question?
Answers
Answer:
volume = 262.14 yd³
Step-by-step explanation:
volume = 6.4³ = 6.4 x 6.4 x 6.4 = 262.14 yd³
Answer:262.144
Step-by-step explanation:you will have to round it.
3. The recycling center collects 343 aluminum cans in one day. How many cans will be collected in two weeks?
Answers
Answer:
4, 802 cans will be collected in two weeks
Step-by-step explanation:
343 aluminum cans = 1 day
? = 2 weeks
2 weeks = 14 days
So, 343 x 14 = 4, 802
5s + 7s????????????????
Answers
Answer:
12s
Step-by-step explanation:
5s + 7s = (5 + 7) s= 12s
This is your answer
In the morning, an outdoor thermometer shows a temperature of -8°C. Later that afternoon, the temperature drops an additional 4°C. What is the temperature in the afternoon?
Answers
Answer:
- 12°C
Step-by-step explanation:
Given :
Temperature in the morning = - 8°C
In the afternoon, temperature drops an additional 4°C
A temperature drop mean a reduction in the initial temperature :
Afternoon temperature = morning temperature - 4°C
Afternoon temperature = - 8°C - 4
After oon temperature = - 12°C
Round 188,206 to the nearest thousand
Answers
Which of the following pitchers account for a total of 40% of the strikeouts?
Answers
Answer:
yu and justin
Step-by-step explanation:
The sum of two trinomials is 4x3 + 3x
Answers
Answer:
it is 12+3x your welcome
The sum of two trinomials is 4x³ + 3x then one trinomial is x³ + 2 then the other is written as 3x³ + 3x.
Let's assume the two trinomials are A and B. We are given that the sum of these two trinomials is equal to 4x³ + 3x. Mathematically, we can represent this as:
A + B = 4x³ + 3x
Now, we are also given one of the trinomials, which is x³ + 2, and we need to find the other trinomial (B).
To find B, we need to isolate it on one side of the equation. Let's rearrange the equation:
B = 4x³ + 3x - A
Now, we need to determine the value of A. We can do this by comparing the given trinomial with the general form of a trinomial, which is ax³ + bx^2 + cx.
From the given trinomial x³ + 2, we can identify that a = 1 (coefficient of x³) and b = 0 (coefficient of x²), since there is no x² term. The coefficient of x is c = 0 (since 3x = 3x¹, there is no constant term in this expression).
Now, we can write A in terms of its coefficients:
A = 1x³ + 0x² + 0x
A = x³
Now, we can substitute the value of A back into the equation for B:
B = 4x³ + 3x - x³
B = 3x³ + 3x
So, the other trinomial (B) is 3x³ + 3x.
To know more about trinomial here
https://brainly.com/question/11379135
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Complete Question:
The sum of two trinomials is 4x³ + 3x then one trinomial is x³ + 2 then the other is
encuentra el valor medio punto pendiente m=5 p(3,-2)
Answers
Answer:
y=5x−17
Step-by-step explanation: