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Answer:
(x - 11)² + y² = 25
Step-by-step explanation:
First find the center
O = ( (15 +7 / 2), (-3 + 3)/2 )
O = (11, 0)
Then find the radius squared
use the distance formula from the center to either end point of the diameter
r² = (15 - 11)² + (-3 - 0)²
r² = 16 + 9
r² = 25
Formula for circle
(x - h)² + (y - k)² = r²
(h, k) is the center = (11, 0)
The equation is
(x - 11)² + y² = 25
Given:
The figure of a rhombus QRST.
To find:
A. The value of x.
B. The measure of angle RQP.
Solution:
A. We need to find the value of x.
We know that the diagonals of a rhombus are perpendicular bisectors. It means the angles on the intersection of diagonals are right angles.
[Right angle]
Divide both sides by 5.
Therefore, the value of x is 15.
B. We need to find the measure of angle RQP.
From the given figure, it is clear that
Putting , we get
Therefore, the measure of angle RQP is 33 degrees.