When you think of the situation as a whole, you may notice that the lines in the problem actually form a triangle. First, the man driving 10 miles east forms a bottom leg of the triangle 10 units long. When he drives the 2 miles north, he adds another leg of 2 units length. When the place of work is connected to the starting position through a line, a third and final line is drawn which creates the triangle.
So, how can we find the direct distance from his place of work to his home? We can use the Pythagorean Theorem (
, where
and
are the lengths of the legs of the triangle and
is the length of the hypotenuse). We know that the lengths of the legs are 10 and 2, which we can use in the formula, as shown below:

Now, we can solve this equation for
:


The distance would be √104 miles, or approximately 10.2 miles.
Answer:
Rob owes his father=-$15-$3= -$18
Step-by-step explanation:
Rob borrows $15 first and then $3.
Since we have to use negative integers, so
-$15-$3= -$18
Answer:
m<AFE = 128°.
Step-by-step explanation:
<u>Step 1: Find the value of x</u>
<em>Angle EFD + Angle DFC = Angle EFC</em>
5x + 6 + 19x - 15 = 17x + 19
24x - 9 = 17x + 19
7x = 28
x = 4
<u>Step 2: Find all angles</u>
<em>Angle AFB=Angle EFD= 5x + 6</em>
5(4) + 6 = 26°
Angle DFC = 19x - 15
19(4) - 15 = 61°
<u>Step 3: Find angle AFE</u>
<em>Line BD is a straight line and all angles on a straight line are equal to 180°.</em>
<em>Angle AFB + Angle AFE + Angle EFD = 180°</em>
26 + BFC + 26 = 180°
BFC = 180 - 52
BFC = 128°
<em>Therefore, m<AFE is equal to 128°.</em>
!!
Answer:
C. Stacy
Step-by-step explanation:
One way to compare is to convert all the fractions into decimals
Rachel works 2/3 of her shift: Approximately= 0.667
Jose works 1/6: approx. = 0.1667
Damon works 4/5= 0.80
Stacy works 6/7: approx. = 0.8571
Now this makes it much easier to compare
And since 0.85714 (Stacy's shift) is the largest number, Stacy has completed the largest portion of her shift
we know that

The company charges
cents per kilowatt-hour of electricity
Step
Find the cost for the light bulb
a) in one day


Cost=$
b) In a year



Cost=$
Step
Find the cost for the led bulb
a) in one day


Cost=$
b) In a year



Cost=$
Step
Find the difference in cost
therefore
the answer is
