MA/MN = MB/BP
MA = 46.2 -14
MA=32.2
so
MA/MN = MB/BP
32.2/46.2=x/72.6
46.2x = 72.6 * 32.2
46.2x = 2337.72
x = 2337.72 / 46.2
x = 50.6
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°
5x + 2y=50
or
5x + 2y<=50 (less than or equal to)
then
x + 2y=30
or
x + 2y<=30(less than or equal to)
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