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Olenka [21]
3 years ago
6

Yo can someone help me out I wasn't paying attention I just need to find what x is.​

Mathematics
1 answer:
konstantin123 [22]3 years ago
4 0

Answer:

x=10°

Step-by-step explanation:

(8x+19)° and (9x+9)°are vertical angles. So we can make them equal to find the value of x.

(8x+19)°=(9x+9)°

(x+9)° = (19)°

x = 10°

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Answer:

Plan A equation:   y = 10x + 30

Plan B equation:  y = x + 80

Plan C equation: y = 5x + 50

Plan A costs the same as Plan C in 4 months

Plan A is the better option if you use 0 - 4 GBs of data each month

Plan B becomes the better deal when 8 months pass

Step-by-step explanation:

<u>When does Plan A cost the same as Plan C?</u>

Set the equations equal to each other (the cost) and solve for x (time in months)

10x + 30 = 5x + 50

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<u>Which plan is best if you only use 0-4 GBs of data a month?</u>

Test the maximum and minimum values to check which plan costs less

At 0 GBs of data used per month

Plan A:  y = 0 + $ 30 = $30 total

Plan B: y = 0 +$80 = $80 total

Plan C: y = 0 + $50 = $50 total

At 4 GBs of data used per month

Plan A: y = $ 40 + $ 30 = $ 70

Plan B: y = $ 4 + $ 80 = $ 84

Plan C: y = $ 20 + $ 50 = $ 70

Comparing the plans at maximum and minimum amount of GBs used, only one plan has the lowest cost overall. Even though Plan C is the same price at 4 GBs as Plan A, when you use 0 GBs you will end up paying more in Plan C than Plan A. Therefore, Plan A is the better option

<u>When does Plan B become the best deal?</u>

When you plot the different Plans on a graph, the slope intercept of x = 7.5 (rounded up to 8) yields the lowest cost for plan B

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