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

Answer:
<h2>12 feet 8 inch long cast a shadow</h2>
Step-by-step explanation:
A person 6 feet tall standing 18 feet away a lamppost cast a 9 foot shadow.
than move 4 feet than total distance is 22 feet
According to trigonometry rule make 30 degree angle


or

than

answer
Answer:
45°
Step-by-step explanation:
Northeast (NE), 45°, halfway between north and east, is the opposite of southwest. Southeast (SE), 135°, halfway between south and east, is the opposite of northwest. Southwest (SW), 225°, halfway between south and west, is the opposite of northeast.
The answer is 21. 75²=5625 72²=5184 5625-5184=441 √441=21 so 21 is your answer. I hope this helps. The formula to figure out the hypotenuse A²+B²=C² can also be used to find a leg. Since we have one leg and the hypotenuse I was able to figure this out.
Answer:
D
Step-by-step explanation:
d = rt so to isolate r you divide both sides by t, leaving you with r=d/t
its basically speed=distance/time, or s=d/t if that's more farmiliar to you