The angle measurements in the diagram are represented by the following expressions.

∠A=8x+78
∘∠B=2x+114
∘
solve for x and

Re-write problem- 8x+78=2x+114. Combine like terms- 8x+2x= 10x. Now you have the problem- 10x+78=114. Subtract 78 from 114 (Because it is on the opposite side of the equal sign)- 114-78=36. You now have- 10x=36. Divide 36 by 10 to find the value of x- 3.6. To find measure of angle B, put 3.6 where x would have been. B=2(3.6)+114. Get rid of parenthesis by multiplying- 2x3.6=7.2. Now just add 144 to 7.2- 144+7.2=151.2.

Step-by-step explanation:

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b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.