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solniwko [45]
3 years ago
11

Please help and thank you

Mathematics
2 answers:
bogdanovich [222]3 years ago
8 0

they are the same so set them equal

3x-10=2x+40 now combine like terms

3x-2x=40+10

x=50

dybincka [34]3 years ago
5 0

Answer:

D

Step-by-step explanation:

∠ABY and ∠ZBU are vertical angles and thus congruent.

Equate the 2 angles and solve for x

3x - 10 = 2x + 40 ( subtract 2x from both sides )

x - 10 = 40 ( add 10 to both sides )

x = 50 → D

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Answer: The consultant earn $50 each hour.

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It is given that for 4 hours of work, the consultant charges $400. For 5 hours of work, she charges $450. The amount that a consultant charges for her work can be modeled using a linear function.

If the linear function represents the amount earn by consultant in hours the the coordinates can be written as (4, 400) and (5, 450).

If we want to find how much money does the consultant earn each hour, so first we have to find the slope of linear function which passing through two points (4, 400) and (5, 450).

\text{Slope}=\frac{y_2-y_1}{x_2-x_1}

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