Given that Q is a point between P and R, the numerical values of y, segment PQ, QR and PR are 7, 60, 36 and 96 respectively.
What are the numerical values of y, segment PQ, QR and PR?
Given the data in the question;
- Q is a point between P and R
- Segment PR = 15y - 9
- Segment PQ = 8y + 4
- Segment QR = 4y + 8
- Numerical value of y, 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 y.
15y - 9 = (8y + 4) + (4y + 8)
15y - 9 = 8y + 4 + 4y + 8
15y - 9 = 12y + 12
15y - 12y = 12 + 9
3y = 21
y = 21/3
y = 7
Numerical value of segment PQ when y = 7 will be;
PQ = 8y + 4 = 8(7) + 4 = 60
Numerical value of segment QR when y = 7 will be;
QR = 4y + 8 = 4(7) + 8 = 36
Numerical value of segment PR when y = 7 will be;
PR = 15y - 9 = 15(7) - 9 = 96
Given that Q is a point between P and R, the numerical values of y, segment PQ, QR and PR are 7, 60, 36 and 96 respectively.
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