Answer:
10/18
Step-by-step explanation:
hope it helps
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:
11 + 5i
Step-by-step explanation:
6 + 5i + 8 + 3i² =
= 6 + 8 + 3(-1) + 5i
= 14 - 3 + 5i
= 11 + 5i
Answer:
39 feet
Step-by-step explanation:
take the tree as AB , the distance between the man and the tree as BC, the distance between the man and the tip of the shadow CD and the point intersecting the hypotenuse CE
since CE parallel to AB we can BPT
CE/AB = CD/BD
6/32= CD/48
CD = 9 feet
since CD is feet
BC is 48-9 = 39 feet