4 years ago

Algebra: Find x ....

Mathematics

1 answer:

luda_lava [24]4 years ago

3 0

Answer:

Step-by-step explanation:

The triangles are similar, thus the ratios of corresponding sides are equal, that is

$\frac{2x+1}{x+4}$ = $\frac{40}{25}$ = $\frac{8}{5}$ ( cross- multiply )

5(2x + 1) = 8(x + 4) ← distribute parenthesis on both sides )

10x + 5 = 8x + 32 ( subtract 8x from both sides )

2x + 5 = 32 ( subtract 5 from both sides )

2x = 27 ( divide both sides by 2 )

x = 13.5 → d

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