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
What the answer is and how?
sladkih [1.3K]

Answer:

PerimeterFigure= pi*DIameter/2= 1.5*pi ft.

Step-by-step explanation:

The perimeter is the length of the figure, since we are dealing with an semi-circle, we can use the perimeter equation for a full circle and divide it by half.

Perimeter= 2pi*R= pi*Diameter.

Since Our figure is a semi circle, as we say earlier, we now will divide the above result by half.

PerimeterFigure= pi*DIameter/2= 1.5*pi ft.

3 0
2 years ago
Multiply polynomials (4x-5)^2
wolverine [178]
16x^2-40x+25 Yes I know my phone is messed up but at least you got the answer

6 0
3 years ago
A rectangular field has side lengths of 2/3 mile and 3/4 mile. What is the area of the field.
Ray Of Light [21]
A = LW
A = 2/3 * 3/4
A = 6/12 = 1/2 miles^2
4 0
3 years ago
Plssssssssssssssssssssssssssssssssss
Lostsunrise [7]
<h2><u>Quadrilateral</u></h2>

<h3>Classify the quadrilateral in as many ways as possible.</h3>

Shown in the figure, all the measurements of each sides is different, so it is only a quadrilateral. Square has four equal sides and angles, rhombus has only four equal sides, and a parallelogram whose opposite sides are parallel.

<u>Answer:</u>

  • <u>C. Quadrilateral</u>

<em>Picture 1 (Rhombus)</em>

<em>Picture </em><em>2</em><em> </em><em>(Square)</em>

<em>Picture 3 (Parallelogram)</em>

<em>Picture 4 (Quadrilateral)</em>

Wxndy~~

3 0
2 years ago
A building casts a shadow 10 ft long. A statue in front of the building casts a shadow 2.5 ft long. If the statue is 15 ft tall,
Gelneren [198K]
3.75

10 ft - 2.5
Half of 2.5 is 1.25.

2.5 + 1.25 = 3.75


4 0
3 years ago
Other questions:
  • What is 3540 divided by 6?
    14·1 answer
  • Help please!!!!!!!!!!!!!!!!!
    9·1 answer
  • A photographer offers a photo shoot for a $85 flat fee. Customers may purchase prints for $5 per sheet. How many sheets can a cu
    6·1 answer
  • One building is 3ft by 20ft if the other building is 21ft by ——— what is the height
    6·1 answer
  • Anyone feel like helping me??
    8·1 answer
  • State the null an alternative hypothesis in the following situations by defining the parameters used. Also, state any assumption
    9·1 answer
  • Solve the following equation for h.<br> r+3Q/h=t
    15·1 answer
  • CAN ANYONE PLS HELP ME IN DIS
    13·1 answer
  • Please answer this correctly
    7·1 answer
  • Suppose the weekly amount of money spent on maintenance and repairs by a company is NOT approximately normally distributed. Howe
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!