Since BCDEF is regular, we know right away that

because the measures of all exterior angles of any regular polygon add to 360 degrees; they are all of equal measure here, so we divide 360 by 5.
For the pentagon BCIHG, the same is true, which means we have the equation

So

.
a. Does her equation make sense?
If so, explain why her equation must be true. If it is not correct, determine what is incorrect and rewrite the equation.
b. If you have not already done so, solve her equation, clearly showing all your steps.
What are the measures of the two angles?
c. Verify that your answer is correct.
The figure is attached below
Given : (2x+1) + (x-10) = 90
(a) Yes , the equation make sense because right angle is 90 degree. Also two angles make up 90 degree.
(b) solve for x, (2x+1) + (x-10) = 90
2x+1 + x-10 = 90 ( combine like terms)
3x -9 = 90 (add 9 on both sides)
3x = 99
x = 33
One angle is 2x+1 = 2(33) +1 = 67 degrees
Another angle = x-10 = 33-10 = 23 degrees
(c) one angle + another angle = 90
67 + 23 = 90
So verified
Answer:
Bob drove from home to work at 75 mph. After work the traffic was heavier, and he drove home at 40 mph. His driving time to and from work was 1 hour and 9 minutes. How far does he live from his job?
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Avg speed for the round trip = 2*75*40/(75+40) = 6000/115 = 1200/23 mi/hr
RT distance = 1200/23 * 69 minutes * 1 hr/60 mins =
= 60 miles
30 miles each way
Step-by-step explanation:
Answer:
The slope is 3/1
The Y intercept is -2
The equation is y=3/1-2
Step-by-step explanation:
Desmos