Han is planning to ride his bike 24 miles. How long will it take him if he rides at a constant speed of 3 miles per hour? Write
1 answer:
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1. The major arc ED has measure 180 degrees since ED is a diameter of the circle. The measure of arc EF is , so the measure of arc DF is
The inscribed angle theorem tells us that the central angle subtended by arc DF, , has a measure of twice the measure of the inscribed angle DEF (which is the same angle OEF) so
so the measure of arc DF is also 64 degrees. So we have
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2. Arc FE and angle EOF have the same measure, 56 degrees. By the inscribed angle theorem,
Triangle DEF is isosceles because FD and ED have the same length, so angles EFD and DEF are congruent. Also, the sum of the interior angles of any triangle is 180 degrees. It follows that
Triangle OFE is also isosceles, so angles EFO and FEO are congruent. So we have
Hey there!
This is a one-step equation, meaning that we can solve it in one step.
This is the step:
- Subtract 14 from both sides
Goal:
- To find out the value of x
Subtract 14:
x+14-14=63-14
the 14's on the left cancel:
x=49
Hence, the answer is
Hope everything is clear.
Let me know if you have any questions!
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