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levacccp [35]
2 years ago
11

What steps would you use to find the y-intercept of a line if given the information that the line has a slope of 4 and passes th

rough (5, 23)?
Mathematics
1 answer:
FromTheMoon [43]2 years ago
6 0
Plot it on a grid and it’s eased to see
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Angles α and β are the two acute angles in a right triangle, where α = 5x 3 + 20 and β = 2x 3 + 14. Find α.
Tom [10]
The acute angles of a right triangle are complementary, so
  α + β = 90
  (5x/3 +20) + (2x/3) + 14) = 90 . . . . . . substitute given values
  7x/3 +34 = 90 . . . . . . . . . . . . . . . . . . . collect terms
  7x/3 = 56 . . . . . . . . . . . . . . . . . . . . . . . subtract 34
  x = (3/7)*56 = 24 . . . . . . . . . . . . . . . . . multiply by 3/7

Then the value of α is ...
  α = 5*24/3 +20 = 60
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