Answer:
What are the statements?
Step-by-step explanation:
Answer:
$500.
Step-by-step explanation:
Answer:
The measures of the acute angles are 38 and 52 degrees.
Step-by-step explanation:
In a right triangle, there are three angles, a right angle and two acute angles. In every traingle, the sum of the measures of the angles is 180 degrees. Let's call the acute angles
and
.

The problem also says that one angle is twice the difference of the other angle and 12. That would look like this:

Now we have two equations. If we simplify them, we get these:

Now you can substitute
in the first equation for
in the second equation

Add
to both sides of the equation

Add
to both sides

Divide both sides by 3

Now, you can substitute
for
in the first equation and simplify.


Therefore,
, and 
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Subtract 13 from both sides
-5x = -17 - 13
Simplify -17 - 13 to -30
-5x = -30
Divide both sides by -5
x = -30/-5
Two negatives make a positive
x = 30/5
Simplify 30/5 to 6
<u>x = 6</u>
Given:
Cost of dishwasher : 315 before sales tax
sales tax : 9.22%
Total cost = 315 * 1.0922 = 344.043
Average of 10 uses per week for the next 6 years before replacing it.
There are 52 weeks in a year.
10 uses per week * 52 weeks per year * 6 years = 3120 average uses
cost for water = 0.09 ; cost for electricity = 0.13 ; total cost per use = 0.22
0.22 * 3120 = 686.40 cost of use
purchase cost = 344.043
cost of use = <u>686.40</u>
lifetime cost 1,030.443