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
1. Write down the decimal divided by 1
2. Multiply both top and bottom by 10
3. Simplify the fraction.
Answer:(4.5, 6.5)
step-by-step explanation: this is the formular for finding a midpoint of a line.
- <u>midpoint=x1+y1?|/2 ,x2+y2/2</u>
Answer: 172 square centimeters.
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Area of a pentagon (A) = 1/2× 5s × a
Where:
s : side of the pentagon
a: apothem
Replacing with the values given and solving for A (area):
A =1/2 x (5 x10) x 6.88
A = 172 square centimeters.
Feel free to ask for more if needed or if you did not understand something.