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figures not drawn to scale

Rectangle M N O P is shown with segment N O labeled 10 and segment O P labeled 4.

rectangle S T U V is shown with segment T U labeled x and segment U V labeled 6

Given that rectangle MNOP
~
rectangle STUV, what is the length of
¯¯¯¯¯¯
T
U
?

3 answers

Answer:

We can use the fact that the rectangles are similar to solve this problem.

We know that the ratio of the corresponding sides of similar figures is equal.

Therefore, we can set up a proportion to solve for x:

10/4 = x/6

Cross-multiplying, we get:

10*6 = 4*x

Simplifying, we get:

60 = 4x

Dividing both sides by 4, we get:

x = 15

Therefore, the length of TU is 15.
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that not the answer