m∠RSU=(5x+7)° and m∠UST=(9x−1)°. If ∠RSU and ∠UST are complementary, what is the measure of each angle?
1 answer:
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Answer:
Center: (4,8)
Radius: 2.5
Equation:
Step-by-step explanation:
It was given that; the endpoints of the longest chord on a circle are (4, 5.5) and (4, 10.5).
Note that the longest chord is the diameter;
The midpoint of the ends of the diameter gives us the center;
Use the midpoint formula;
The center is at;
To find the radius, use the distance formula to find the distance from the center to one of the endpoints.
The distance formula is;
The equation of the circle in standard form is given by;
We substitute the center and the radius into the formula to get;
Answer:
(6,-1)
Explanation:
The slope of the line can be calculated using the following formula:
slope =
We are given that:
slope = -0.75
point (x1,y1) is (-2,5)
We will use each of the given points to calculate the corresponding slope, then compare the calculated slope with the given one.
For point (6,-1):
slope =
= -0.75 ........> accepted choice
For point (2,8):
slope =
= 0.75 ........> rejected choice
For point (-5,1):
slope =
= 4/3 ........> rejected choice
For point (1,1):
slope =
= -4/3 ........> rejected choice
Therefore, the first option is the only correct one.
Hope this helps :)
(6,-1)
Explanation:
The slope of the line can be calculated using the following formula:
slope =
We are given that:
slope = -0.75
point (x1,y1) is (-2,5)
We will use each of the given points to calculate the corresponding slope, then compare the calculated slope with the given one.
For point (6,-1):
slope =
For point (2,8):
slope =
For point (-5,1):
slope =
For point (1,1):
slope =
Therefore, the first option is the only correct one.
Hope this helps :)