Answer:
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Step-by-step explanation:
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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.
C.) is the answer, I think
Answer:
Distributive Property
Step-by-step explanation:
If the given statement is
5(72 – 3y) = 360– 15y
When we apply the distributive property to the left hand side we get;

When we simplify we get

Therefore the distributive property justifies the given statement.
Answer:
See explanation
Step-by-step explanation:
If
then triangle PXY is isosceles triangle. Angles adjacent to the base XY of an isosceles triangle PXY are congruent, so

and

Angles 1 and 3 are supplementary, so

Angles 2 and 4 are supplementary, so

By substitution property,

Hence,

Consider triangles APX and BPY. In these triangles:
- given;
- given;
- proven,
so
by ASA postulate.
Congruent triangles have congruent corresponding sides, then

Therefore, triangle APB is isosceles triangle (by definition).