1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
expeople1 [14]
3 years ago
15

HELP ME Write and solve a proportion to find y.

Mathematics
1 answer:
Phoenix [80]3 years ago
6 0

Given:

A figure of dilation and the center of dilation is O.

To find:

The value of y.

Solution:

The distance between center and vertex of image (d') is proportional to the distance between center and the corresponding vertex of original figure (d).

d'\propto d

d'=kd

\dfrac{d'}{d}=k

Where, k is the scale factor or constant of proportionality.

So, the scale factor for the given dilation is

k=\dfrac{OB'}{OB}

k=\dfrac{36}{16}

k=\dfrac{9}{4}

We know that,

k=\dfrac{\text{Side length of image}}{\text{Corresponding side length of original figure}}

\dfrac{9}{4}=\dfrac{A'C'}{AC}

\dfrac{9}{4}=\dfrac{27}{y}

9\times y=27\times 4

Divide both sides by 9.

y=\dfrac{27\times 4}{9}

y=3\times 4

y=12

Therefore, the value of y is 12.

You might be interested in
which expression is equivalent to 5(2x - 7) A. 2x - 35 B. 7x - 2 C. 7x - 12 D. 10x - 7 or E. 10x - 35
seraphim [82]
<span>5(2x - 7)
= 10x - 35

answer
</span><span>E. 10x - 35</span>
4 0
3 years ago
Is -2x-6=2x+6 no soulution
Olegator [25]

Answer:

No

Step-by-step explanation:

Let's solve your equation step-by-step.

−2x−6=2x+6

Step 1: Subtract 2x from both sides.

−2x−6−2x=2x+6−2x

−4x−6=6

Step 2: Add 6 to both sides.

−4x−6+6=6+6

−4x=12

Step 3: Divide both sides by -4.

−4x/−4 = 12/-4

=

x=−3

6 0
3 years ago
Read 2 more answers
3×-y=5,2×+y=5 pleaseplease ​
Tanya [424]

Answer:

x = 2

y = 1

Step-by-step explanation:

3x - y = 5..............(1)× 1

2x + y = 5...….......(2)× 1

3x - y = 5..............(3)

2x + y = 5.............(4)

Cancel y

3x + 2x = 5 + 5

5x = 10

Divide both sides by 5

x = 2

Substitute for the value of y

3x - y = 5

3(2) - y = 5

6 - y = 5

6 - 5 = y

1 = y

y = 1

6 0
3 years ago
PLEASE HELP
devlian [24]

Answer:

I think it is a 160o Angle

Step-by-step explanation:

7 0
3 years ago
A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. they decided to spli
Savatey [412]

Answer:

A,  c(excluding tip, if the tip is included then c is not the answer)

Step-by-step explanation:

I solved the Equations:

A)1/8(x+16)=76/8----60  (this is the correct answer!)

B)1/8(x+16=76)------ 592  (NOT the correct answer

c)x=60 Represents total food bill excluding tip

d) x=60 does represent each friends share of the food bill

E) not correct

5 0
3 years ago
Other questions:
  • Zoe has 8 cups of whole-wheat flour. If each loaf of her favorite bread requires 3/4 of a cup of whole-wheat flour, how many who
    5·2 answers
  • X^2-11=53 in the simplest form
    14·1 answer
  • I need help with this please.
    12·1 answer
  • Mrs Hansen picked tomatoes from her garden and got 25 cups of chopped tomatoes. She used 5 1/2 cups of the tomatoes to make spag
    15·1 answer
  • 21
    5·1 answer
  • A 450-square-foot apartment in New York City costs $540,000. What is the price per square foot?
    15·1 answer
  • Select the correct answer
    11·1 answer
  • Please help, I will give brainliest to best answer
    10·1 answer
  • Anyone know how to do this...
    5·1 answer
  • A train has an odd number of cars. The number of cars Is greater than 1 and less than 9
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!