Question

WHAT IS THE VALUE IF X???‼️‼️ HELP ASAP

Answer 1

The value of x is 40.

Solution:

Given ΔVDG and ΔVNG are similar triangles.

DG = 207, NQ = 138, GQ = 60, QV = x

To find the value of x.

In two triangles are similar, then the measures of the corresponding sides are in proportional to each other.

$\Rightarrow\frac{DG}{NQ}=\frac{GQ}{QV}$

Substitute the given values.

$\Rightarrow\frac{207}{138}=\frac{60}{x}$

Do cross multiplication, we get

$\Rightarrow{207\times x}=138\times60$

$\Rightarrow{207\times x}=8280$

Divide by 207 on both sides of the equation, we get

$\Rightarrow x=\frac{8280}{207}$

$\Rightarrow x=40$

Hence the value of x is 40.