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Answer:
7) a = 65; b = 50
8) c = 125; d = 55; e = 52
9) f = 105
Step-by-step explanation:
7)
a = 65
b + 130 = 180
b = 50
8)
c = 125
d + 125 = 180
d = 55
e = 52
9)
(180 - f) + 32 + (180 - 107) = 180
180 - f + 32 + 180 - 107 = 180
-f + 285 = 180
-f = -105
f = 105
Answer:

Step-by-step explanation:
Sine theorem: in any triangle, the ratio between a side and the sine of the opposite angle is constant

In our case, for the left triangle,

Time to grab a calculator and crunch numbers. Double check your calculator is in degrees and not in radians (plug in sin 30°, if you're getting 0.5 you're good) and you will get

Same difference with the right triangle. With the same calculations

Answer:
y = 2x + 11
Step-by-step explanation:
y - 3 = 2(x + 4)
y - 3 = 2*x + 2*4
y -3 = 2x + 8
y = 2x + 8 +3
y = 2x + 11