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aleksley [76]
3 years ago
12

Find the arc measure of AB. The measure of arc AB = ______ degrees

Mathematics
1 answer:
mariarad [96]3 years ago
7 0
The picture is difficult to read, but it looks like
  ∠ADB = 2x²
  ∠ACB = 10x
These two angles have equal measure, so you have
  2x² = 10x
  2x(x -5) = 0 . . . . . subtract 10x and factor
  x = 0, or x = 5

The measure of arc AB is twice the measure of either inscribed angle, so would be
  arc AB = 2×10x
  = 2×10×5
  = 100 . . . . . degrees

Arc AB is 100°.
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In a list of five consecutive odd integers, the sum of the first and double the last is 139. What is the largest sum?
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