Given that Q is a point between P and R, the numerical values of x, segment PQ, QR and PR are 11, 30, 22 and 52 respectively.
<h3>What are the numerical values of x, segment PQ, QR and PR?</h3>
Given the data in the question;
- Q is a point between P and R
- Numerical value of x, segment PQ, QR and PR = ?
Since Q is a point between P and R.
PR = PQ + QR
Plug in the given values and solve for x.
5x - 3 = ( 2x + 8 ) + ( x + 11 )
5x - 3 = 2x + 8 + x + 11
5x - 3 = 3x + 19
5x - 3x = 19 + 3
2x = 22
x = 22/2
x = 11
Numerical value of segment PQ when x = 11 will be;
PQ = 2x + 8 = 2(11) + 8 = 30
Numerical value of segment QR when x = 11 will be;
QR = x + 11 = (11) + 11 = 22
Numerical value of segment PR when x = 11 will be;
PR = 5x - 3 = 5(11) - 3 = 52
Given that Q is a point between P and R, the numerical values of x, segment PQ, QR and PR are 11, 30, 22 and 52 respectively.
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