Find the radius for a circle defined by (x - 1)2 + y2 = 81.

Mathematics

1 answer:

Schach [20]2 years ago

3 0

The radius is 9
The equation is
(x-h)^2 + (y-k)^2 = r^2

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In triangle NOP, Np is extended through Point P to Point Q, m < NOP =(x+17) degrees, m< PNO =(2x-4) degrees, and m< OPQ

Zigmanuir [339]

To find the measure of angle OPQ, we have two equations...
y+5x-17=180 because angles OPN and OPQ are supplementary...
AND
x+17+2x-4+y=180 because the total degrees of a triangle must add up to 180.
The equations...
5x+y=197
3x+y=167
solce the system of equations...
x=15
y=122
Since we wanted to solve for y, 122 is the answer.
The measure of angle OPQ is 122.

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