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If AB =CD, CD = 9in, BC = 5x, and AD = 53 in. , find x.
35
7
42
6
None of the other answers are correct

If AB =CD, CD = 9in, BC = 5x, and AD = 53 in. , find x. 35 7 42 6 None of the other answers are correct class=

Answer :

Deathmate

Answer:

Step-by-step explanation:

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

xKelvin

Answer:

B.

Step-by-step explanation:

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

[tex]AD=AB+BC+CD[/tex]

Since AB=CD, we can substitute:

[tex]AD=CD+BC+CD\\ AD=2CD+BC[/tex]

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

[tex]53=2(9)+5x[/tex]

Solve for x:

[tex]\begin{aligned} 53&=18+5x \\ 35&=5x \\ 7&=x \end{aligned}[/tex]

The value of x is 7.

Hence, our answer is B.

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