Mathematics
06.02.2023 07:50
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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

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 c
Show Answers
lesly0913
lesly0913
4,5(25 marks)

B.

Step-by-step 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.

penacesar18p9jrdh
penacesar18p9jrdh
4,5(83 marks)

21

Step-by-step explanation:

56567

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