Question

If AB =CD, CD = 9in, BC = 5x, and AD = 53 in. , find x.

35
7
42
6
None of the other answers are correct

Answer 1

Explanation:

U right it’s not any of them and if u single I’m here

Answer 2

B.

Explanation:

AD, the entire segment, is composed of the three segments AB, BC, and CD. In other words:

`AD=AB+BC+CD`

Since AB=CD, we can substitute:

`AD=CD+BC+CD\\ AD=2CD+BC`

We know that CD is 9 and BC is 5x. AD is 53. So, substitute:

`53=2(9)+5x`

Solve for x:

`\begin{aligned} 53&=18+5x \\ 35&=5x \\ 7&=x \end{aligned}`

The value of x is 7.

Hence, our answer is B.