Answer:
The measure of angle HJK is 36°
Step-by-step explanation:
<em><u>In a circle</u></em>, <em>the measure of the inscribed angle equal half the measure of the central angle subtended by the same arc</em>
In circle J
∵ J is the center of the circle
∵ H and K lie on the circle
∴ ∠HJK is a central angle subtended by arc HK
∵ L lies on the circle
∴ ∠HLK is an inscribed angle subtended by arc HK
→ By using the rule above
∵ ∠HJK and ∠HLK are the central angle and inscribed angle
subtended by the same arc HK
∴ m∠HLK = 
m∠HJK
∵ m∠HLK = 18°
∴ 18 = m∠HJK
→ Multiply both sides by 2
∴ 36 = m∠HJK
∴ The measure of angle HJK is 36°
9514 1404 393
Answer:
E) 0.366π
Step-by-step explanation:
There are π/180 radians in a degree.
66° = 66°(π/180°) = (66/180)π = 11/30π ≈ 0.366π radians
__
11/30 = 0.366... repeating, so would normally be rounded to 0.367
Answer:
m∠1 = 92°
Step-by-step explanation:
∠2 corresponds to the supplement of ∠3 if (and only if) lines a and b are parallel. We find that
m∠2 + m∠3 = 73° +107° = 180°
so, the angles are supplementary and lines a and b are parallel.
Angles 4 and 1 are corresponding angles where the line d crosses the parallel lines a and b, so are congruent.
m∠1 = m∠4 = 92°
Answer:
y/x = 1 got it right on edg
Step-by-step explanation:
(4/7)^3=.1865
6xyz/2xz simplifies to 3y
