Answer:
x=70
Step-by-step explanation:
Angle 1 will be 90° when it subtends a 180° arc. That means the sum of 100° and (x+10) must be 180°, so (x+10) = 80°.
We assume this is intended to mean ...
... (x +10)° = 80° . . . . . note the ° symbol added outside parentheses
... x +10 = 80 . . . . . divide by °
... x = 70 . . . . . . . . .subtract 10
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If the intent is (x+10°) = 80°, then x=70°.
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<em>Comment on the numbers here</em>
Units need to be properly specified in problems of this nature. <em>As written</em>, we probably should assume that 10 is <em>radians</em>, and x is a large negative number, about -8.60374 (radians), or -492.958°.
A number of radians is a "pure number." It has <em>no units</em>. The term "radians" is used to signify that the number is considered to be an angle measure.
Answer:
m<AIR = 90 deg
Step-by-step explanation:
I assume the problem contains an error, and that AR is a diameter, not AC.
Look at the diameter of the circle, AR. It passes through the center of the circle, C. You can think of the two radii of the circle, CR and CA, as sides of angle RCA. Since AR is a diameter, and AR is a segment which is part of line AR, rays CR and CA are sides of an angle that lie on a line. That makes the measure of angle RCA 180 deg. Angle RCA is a central angle of circle C since its vertex is the center of the circle.
Angle AIR is an inscribed angle in circle C since its vertex is on the circle itself. If an inscribed angle and a central angle intercept the circle at the same two points, then the measure of the inscribed angle is half the measure of the central angle.
m<AIR = (1/2)m<RCA = (1/2) * 180 = 90
m<AIR = 90 deg
Answer:
37.69 (≈ 38 ft²)
Step-by-step explanation:
2πr = 30.77
r = 30.77 / (2 * 3.14) = 4.9
half of free-throw circle area: πr² / 2 = (3.14 * 4.9²) / 2 = 37.69 (≈ 38 ft²)
I don't know how you expand it but the answer is 3x + 25 unless that's expanding.
Answer:
C' will be located at (-4,-2)
Step-by-step explanation:
