Question

AQRS ~ A TUV R 8 U 56 14 10 s T 40 Q What is the value of x? Note: Images are not to scale.

Answer 1

x = 32

Step-by-step explanation:

ΔQRS and ΔTUV are similar. It means that the proportion of the corresponding sides is constant. So, we can write the following equation:

`(QR)/(TU)=(RS)/(UV)`

Because QR is the corresponding side of TU and RS is the corresponding side of UV.

So, replacing the values of each side, we get:

`(56)/(14)=(x)/(8)`

Then, solving for x, we get:

`\begin{gathered} (56)/(14)\cdot8=(x)/(8)\cdot8 \\ 32=x \end{gathered}`

Therefore, the value of x is 32.