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trapecia [35]
3 years ago
14

Please help with this question!

Mathematics
1 answer:
lukranit [14]3 years ago
7 0

Answer:

a. x = 5, AB = 14, BC = 8

Step-by-step explanation:

✔️Both triangles are similar, therefore their side lengths are proportional to each other.

Thus:

\frac{2x + 4}{x + 3} = \frac{7}{4}

Cross multiply

4(2x + 4) = 7(x + 3)

8x + 16= 7x + 21

Collect like terms

8x - 7x = -16 + 21

x = 5

✔️AB = 2x + 4

Plug in the value of x

AB = 2(5) + 4

AB = 14

✔️BC = x + 3

Plug in the value of x

BC = 5 + 3

BC = 8

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