Figure


A is a scale image of Figure

B, as shown.



The scale that maps Figure

A onto Figure

B is
1
:
7
1
4
1:7
4
1

. Enter the value of

x.

5 answers

To find the value of x, we need to determine the ratio between the corresponding sides of Figure A and Figure B.

Since the scale is 1:7 1/4 (or 1:7.25), we can set up a proportion to find x:

x / 1 = 4 / 7.25

Cross multiplying, we get:
7.25x = 4
x = 4 / 7.25
x = 0.55

Therefore, the value of x is 0.55.
wrong double check triangle A has a 3 and Trinangle B has an x
Given the scale that maps Figure A onto Figure B is 1:7 1/4, we know that the corresponding sides of the two figures are in the ratio of 1:x. We also know that the length of the corresponding side in Figure A is 3.

Setting up the proportion:

1 / x = 3 / 7.25

Cross multiplying, we get:

7.25 = 3x

Dividing both sides by 3:

x = 7.25 / 3

x = 2.4167

Therefore, the value of x is approximately 2.42.
wrong bro
Apologies for the error in the previous responses. Let's correct it.

Given that the scale which maps Figure A onto Figure B is 1:7 1/4, and we know that side in Figure A has length 3, we need to find the corresponding length in Figure B (x).

Using the scale factor in fraction form (7 1/4 = 29/4), we can set up the proportion:

1 / x = 3 / 29/4

Now, let's solve for x:

1 / x = 3 / 29/4
1 / x = 3 * 4 / 29
1 / x = 12 / 29
x = 29 / 12
x ≈ 2.42

Therefore, the value of x is approximately 2.42. Thank you for your patience.