2 angles are complementary if the sum of their measures is 90°.
For example if m(P) = 41° and m(Q)=49°, then P and Q are complementary.
Thus A and B are complementary means that m(A)=m(B)=90°:
(3x+5°) + (2x-15°) =90°
5x-10°=90°
5x=100°
x=20°
Thus
m(A)=3x+5°=3* 20°+5°=60°+5°=65°
m(B)=2x-15°=2*20°-15°=40°-15°=25°
Answer:
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Step-by-step explanation:
Answer:
Sara's number is 28
Step-by-step explanation:
Let's assign Sara's number the variable x and solve this equation using the information provided.
"If you subtract 14 from my number"
x - 14
"and multiply the difference by - 3"
-3(x - 14)
"the result is – 42."
-3(x - 14) = -42
Now we can solve from here for x.
-3(x - 14) = -42
x - 14 = 14
x = 28
Answer:
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Step-by-step explanation:
Answer:
x=14
Step-by-step explanation:
Form an equation; since the two sides are the same length set them equal to each other. 2x-9=x+5 the solve
2x=x+14
x=14
then you can plug it back in to check if you want
2(14)-9 = 19
14+5 = 19