Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
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
?
This is due today, sooo yeah.
TU/NO = UV/OP
so plug in your numbers
Is anybody ever gonna help meeee
some of the things on jishka are so dog
it is probably past due now
To find the length of segment TU, we need to use the given information that the rectangles MNOP and STUV are similar. In similar figures, corresponding sides have proportional lengths.
We can set up a proportion to find the length of TU. Let's represent the length of TU as x:
(x / 10) = (6 / 4)
To solve this proportion, we can cross multiply:
4x = 10 * 6
Now, multiply the numbers on the right side of the equation:
4x = 60
Finally, divide both sides of the equation by 4 to solve for x:
x = 60 / 4
Simplifying further:
x = 15
Therefore, the length of segment TU is 15.