If APOR is an equilateral triangle, PQ = 18x + 1, QR = 24x – 17, and PR = 15x + 10, find x and
1 answer:
Answer:
The value of x is 3 and measure of each side is 55.
Step-by-step explanation:
Consider the provided information.
If ΔPOR is an equilateral triangle,
PQ = 18x + 1, QR = 24x – 17, and PR = 15x + 10,
A triangle is said to be equilateral if all the sides are equal.
Therefore, PQ = QR = PR
Therefore, the value of x is 3.
PQ = 18x + 1
PQ = 18(3) + 1
PQ = 55
As we know PQ = QR = PR
Thus QR = 55 and PR = 55
The value of x is 3 and measure of each side is 55.
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<u>Step-by-step explanation:</u>
The vertex form of a parabola is: y = a(x - h)² + k where
- (h, k) is the vertex
NOTE: p is the distance from the vertex to the focus
The vertex (h, k) is (2, -3)
Insert those values into the vertex formula to get: