Question

p ● 3x + 8 q ● x ● r 100 find pq. figure is not drawn to scale.

Explanation:

Step1: Set up an equation

Since $PQ + QR=PR$, we have $(3x + 8)+x = 100$.

Step2: Combine like - terms

Combining the $x$ terms on the left - hand side gives $4x+8 = 100$.

Step3: Isolate the variable term

Subtract 8 from both sides: $4x=100 - 8$, so $4x = 92$.

Step4: Solve for $x$

Divide both sides by 4: $x=\frac{92}{4}=23$.

Step5: Find $PQ$

Substitute $x = 23$ into the expression for $PQ$ which is $3x + 8$. So $PQ=3\times23 + 8=69 + 8=77$.

Answer:

77