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The angle calculate of the base angles of an isosceles triangle are shown by x and the vertex angle is 3x + 10. Determine the measure of a base angle.
a. 112°
b. 42.5°
c. 34°
d. 16°
c. The addition of the measures of the angles of a triangle is 180. The question is asking us to solve for x. The equation is x + x + 3x + 10 = 180. Simplifying the equation, 5x + 10 = 180. Subtract 10 from each side; 5x = 170. Divide each side by 5; x = 34. If you select a, you solved for the vertex angle. If you select b, you wrote the original equation incorrectly as x + 3x + 10 = 180. If you select d, you wrote the original equation incorrectly as x + x + 3x + 10 = 90.
The government is auctioning off oil leases at two sites. At each site, 100,000 acres of land are to be auctioned. Cliff Ewing, Blake Barnes and Alexis Pickens are bidding for the
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