Can someone please help
1 answer:
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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°
That's a copy of the figure from the other post; I didn't look at the answer.
We have Start(0,0)
Your team takes the direct path at a constant speed of 6 miles per hour.
<span>Our team.
</span><span>Team Red follows the riddle and travels at 8 mph from Start to Post A, 9 mph from Post A to Post B, and 11 mph from Post B to Finish.
Team Blue follows the riddle and travels at a constant speed of 10 mph.
</span>
<span>
Team Yellow follows the riddle and travels at a constant speed of 11 mph, but stops at Post A for 30 minutes and stops again at Post B for another 30 minutes.
</span>
Winner: our team, then Blue, then Red, then Yellow
<span>
</span>
We have Start(0,0)
Your team takes the direct path at a constant speed of 6 miles per hour.
<span>Our team.
</span><span>Team Red follows the riddle and travels at 8 mph from Start to Post A, 9 mph from Post A to Post B, and 11 mph from Post B to Finish.
Team Blue follows the riddle and travels at a constant speed of 10 mph.
</span>
<span>
Team Yellow follows the riddle and travels at a constant speed of 11 mph, but stops at Post A for 30 minutes and stops again at Post B for another 30 minutes.
</span>
Winner: our team, then Blue, then Red, then Yellow
<span>
</span>