Question

Assuming the following two triangles are congruent, solve for x if QR = 3x + 16 and GH = 5x - 22.Two trianglesA)12B)-3C)19D)76

Answer 1

Step-by-step explanation:

Concept:

To calculate the value of x, we will use the relation below

`\begin{gathered} QR=GH \\ QR=3x+16 \\ GH=5x-22 \end{gathered}`

Bu\y substituing the values, we will have

`\begin{gathered} QR=GH \\ 5x-22=3x+16 \\ collect\text{ similar terms, we will have} \\ 5x-3x=16+22 \\ 2x=38 \\ (2x)/(2)=(38)/(2) \\ x=19 \end{gathered}`

Hence,

The final answer is

`19`

OPTION C is the correct answer