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alekssr [168]
3 years ago
6

What is the length of AB? A) 6.2 B) 12.3 C) 5.0 D) 15.1

Mathematics
1 answer:
tatyana61 [14]3 years ago
4 0

Answer:

5.02

Step-by-step explanation:

Hi,

you can trigonometric formula here.

tan 60= opposite / adjacent

tan 60 = AC/ AB

AB = AC / tan60

AB = 8.7 / tan60

AB = 5.02

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Solve the system of equations x+y=-8 and -9x-6y=60 by combining the equations
TiliK225 [7]

Answer:

x = - 4    y = - 4

Step-by-step explanation:

x+y= - 8

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First, solve for x in the first equation:

x+y = - 8       Subtract y from both sides

x + y - y = -8 - y    y cancels on the left

x = - 8 - y

Now plug in what you found for x into the 2nd equation and solve for y.

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-9(- 8 - y) - 6y = 60   Multiply out

72 + 9y - 6y = 60

72 + 3y = 60  Subtract 72 from both sides

72 - 72 + 3y = 60 - 72    72 cancels on the left

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Now plug your answer for y back into the first equation to get x.

x + y = -8

x + (-4) = - 8  Add 4 to each side

x - 4 + 4 = - 8 + 4   4 cancels on the left

x = -4

x = - 4 and y = - 4

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3 years ago
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