Question

Find the value of x. X+5 4 2x A x = [?] Enter​

Answer 1

x = 3

Explanation:

In
`\triangle ABC,\: DE||AC`

`\implies`By Basic Proportionality Theorem:

`(BD)/(DA)=(BE)/(EC) \\ \\ \implies \: (x + 5)/(2x) = (4)/(3) \\ \\ \implies \: 3(x + 5) = 4(2x)\\ \\ \implies \: 3x +15 = 8x \\ \\ \implies \: 3x - 8x = - 15 \\ \\ \implies \: - 5x = - 15 \\ \\ \implies \: x = ( - 15)/( - 5) \\ \\ \implies \: x = 3`