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Sergeu [11.5K]
2 years ago
11

What is the value of x

Mathematics
1 answer:
zzz [600]2 years ago
8 0

Answer:

x = 5

Step-by-step explanation:

Δ EAB and Δ EDC are similar by the AA postulate , so the ratio of corresponding sides are in proportion , that is

\frac{AB}{DC} = \frac{EA}{ED} , substitute values

\frac{10}{4} = \frac{2x+10}{x+3} ( cross- multiply )

10(x + 3) = 4(2x + 10 ) ← distribute parenthesis on both sides

10x + 30 = 8x + 40 ( subtract 8x from both sides )

2x + 30 = 40 ( subtract 30 from both sides )

2x = 10 ( divide both sides by 2 )

x = 5

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