9514 1404 393
Answer:
(6) KL = 1
(7) x = -4
(8) x = 6
Explanation:
(6) The diagram shows us ...
KL +12 = 13
KL = 1 . . . . . . . . . . subtract 12
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(7) Similarly, the sum of the parts is equal to the whole:
9 +(2x +9) = (x +14)
x +4 = 0 . . . . . . . . . . . . . subtract (x+14) and simplify
x = -4
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(8) As with segments, so with angles: the sum of the parts is equal to the whole.
∠GHA +∠AHI = ∠GHI
(8x +2) +(13x +9) = 137
21x = 126 . . . . . . . . . . . . . . subtract 11
x = 126/21 . . . . . . divide by 21
x = 6