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Ira Lisetskai [31]
3 years ago
15

PLEASE HELPP AND SHOW WORK​

Mathematics
1 answer:
lawyer [7]3 years ago
3 0

Answer:

x = 25

Step-by-step explanation:

From the picture attached,

ΔABC and ΔADE are the similar triangles.

Therefore, their corresponding sides will be in the same ratio.

\frac{\text{AB}}{\text{AD}}=\frac{\text{AC}}{\text{AE}}=\frac{\text{BC}}{\text{DE}}

\frac{\text{AB}}{\text{AD}}=\frac{\text{BC}}{\text{DE}}

And AB = AD + DB

             = 2(AD) [Since, AD = DB]

By substituting these values,

\frac{\text{2AD}}{\text{AD}}=\frac{\text{34}}{\text{(x-8)}}

2 = \frac{34}{x-8}

x - 8 = \frac{34}{2}

x - 8 = 17

x = 17 + 8

x = 25

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