Shawn and Dorian rented bikes from two different rental shops. The prices in dollars, y, of renting bikes from the two different
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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
Area of wooden support is 36 square inches
<em><u>Solution:</u></em>
Given that, carpenter cut out a small trapezoid as a wooden support for the front step
<em><u>The area of trapezoid is given as:</u></em>
Where, "h" is the height
"a" and 'b" are the length of base
Here given that,
Height = h = 4 inches
a = 6 inches
b = 12 inches
Substituting the values we get,
Thus area of wooden support is 36 square inches