Question

solve for x and the measure of each side. round to the nearest tenths place

qr =

pq =

rp =

x =

1.

Explanation:

Step1: Set up the equation

Since \(QR = RP\) (given the marks on the sides indicating they are equal), we have the equation \(x + 2.4=3x - 0.6\).

Step2: Solve for \(x\)

Subtract \(x\) from both sides:
\(x+2.4 - x=3x - 0.6 - x\)
\(2.4 = 2x-0.6\)
Add \(0.6\) to both sides:
\(2.4 + 0.6=2x-0.6 + 0.6\)
\(3=2x\)
Divide both sides by \(2\):
\(x=\frac{3}{2}=1.5\)

Step3: Find \(QR\)

Substitute \(x = 1.5\) into \(QR=x + 2.4\):
\(QR=1.5+2.4=3.9\)

Step4: Find \(PQ\)

Substitute \(x = 1.5\) into \(PQ=x + 0.1\):
\(PQ=1.5+0.1=1.6\)

Step5: Find \(RP\)

Substitute \(x = 1.5\) into \(RP = 3x-0.6\):
\(RP=3\times1.5-0.6=4.5 - 0.6=3.9\)

Answer:

\(x = 1.5\), \(QR = 3.9\), \(PQ=1.6\), \(RP = 3.9\)