The distance from his home to his work place is 118.125 miles
<h3>How to find the distance from his home to his work place?</h3>
He drove from home to work at an average speed of 45 mph. Therefore,
speed = 45 mph
let
time = x
speed = distance / time
distance = 45x
His return trip home took 45 minutes longer because he could only drive at 35 mph. Therefore,
45 minutes = 0.75 hours
distance = 35(x + 0.75)
distance = 35x + 26.25
Therefore,
45x = 35x + 26.25
45x - 35x = 26.25
10x = 26.25
x = 26.25 / 10
x = 2.625
Therefore,
distance = 45(2.625) = 118.125 miles
learn more on distance here: brainly.com/question/21329221
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Hey there!
Complementary angles add up to 90 degrees.
We are given
An angle of 79 degrees
and we're asked to find the complement of the angle.
So let's set up an equation:
79+x=90
where x=the unknown angle
Subtract 79 from both sides:
79-79+x=90-79
x=11
Hence, the measure of the unknown angle is

Hope everything is clear.
Let me know if you have any questions!
#LearningIsFun

Answer:
9 and 10
Step-by-step explanation:
The sqaure root of 85 is 9.21954445729.
9.21954445729 is greater than 9 but less than 10, meaning it falls in between them.