Question

if dm = 60, what is the value of r? 4r r + 5 d g m

Explanation:

Step1: Set up the equation

From the line segment, we know that \( DM = DG + GM \). Given \( DG = 4r \) and \( GM = r + 5 \), and \( DM = 60 \), so the equation is \( 4r+(r + 5)=60 \).

Step2: Simplify the equation

Combine like terms: \( 4r+r+5 = 60 \) becomes \( 5r+5 = 60 \).

Step3: Solve for r

Subtract 5 from both sides: \( 5r=60 - 5=55 \). Then divide both sides by 5: \( r=\frac{55}{5}=11 \).

Answer:

\( r = 11 \)