Answer:
Alternate exterior angles are congruent. So, set the angles equal to each other and solve for x.
2x + 50 = x + 76
x = 26
So, ∠2 = 2x + 50 = 2(26) + 50 = 102°
Step-by-step explanation:
Answer:
d. y = 8
Step-by-step explanation:
The given line is of the form ...
y = constant
A parallel line must be of the same form. The matching answer is ...
y = 8
Answer:
y=.12x+20
Step-by-step explanation:
The flat rate for the ride is $20, so that will be added on no matter how far you go. The distance is actually extra information in this problem, as it doesn't actually ask for you to solve, so ignore the 50 miles from the airport. It is $0.12 per mile, meaning that actually does depend on the number of miles travelled, so it must be the x coefficient. This leaves you with y=.12x+20.
first one is the correct answer
proportional relationship between x and y = 2: 1
Answer: Choice A) $0.45
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Explanation:
Plug in d = 0 and you'll have A(d) = 0.45d+180 turn into A(0) = 180. This says that Terry is paid $180 even if he doesnt travel a single mile.
Now plug in d = 1. You should get A(1) = 180.45 as the result.
Subtract the results: 180.45 - 180 = 0.45
He has earned 45 cents or 0.45 dollars for traveling one mile
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A shortcut is to notice that the slope of the line is 0.45
It might help to view A(d) = 0.45d+180 as y = 0.45x+180. We see that the equation is in slope intercept form y = mx+b
m = slope = 0.45 tells us how much additional dollars Terry earns for each additional mile traveled
b = 180 = y intercept = starting amount of money Terry is paid, this amount does not change based on how many miles he travels.
