Question

What is the answer to this?

Answer 1

SU = 11

Explanation:

Since figure RSTU is an isosceles trapezoid, its diagonals are of equal length.

To determine the length of diagonal SU, set up an equation by equating the expressions for RT and SU and solve for x:

`\begin{aligned}RT&=SU\\3x-25&=-13+2x\\3x-25-2x&=-13+2x-2x\\x-25&=-13\\x-25+25&=-13+25\\x&=12\end{aligned}`

Now, substitute the value of x into the expression for SU:

`\begin{aligned}SU&=-13+2(12)\\SU&=-13+24\\SU&=11\end{aligned}`

Therefore, the length of SU is:

`\Large\boxed{\boxed{SU=11}}`