The top fully says solve the following system of equations. please help!!
1 answer:
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Answer:
- Hayes family: 35 hours
- Rodrigues family: 40 hours
Step-by-step explanation:
Let x and y represent the usage hours by the Hayes and Rodrigues families, respectively. The problem statement gives us relations that can be used to write equations for volume of use and for total hours.
15x +30y = 1725 . . . . . total liters of use
x + y = 75 . . . . . . . . . total hours of use
The second equation lets us write an expression for y:
y = 75 -x
This can be substituted into the first equation to give ...
15x +30(75 -x) = 1725
-15x + 2250 = 1725 . . . . . . simplify
-15x = -525 . . . . . . . . . . . subtract 2250
x = 35 . . . . . . . . . . . . . . divide by -15
y = 75 -35 = 40
The Hayes family used their sprinklers for 35 hours; the Rodrigues family used theirs for 40 hours.
we know that
The sum of the internal angles in the triangle must be degrees
see the attached figure with letters to better understand the problem
Step
<u>Find the measure of the angle x</u>
In the triangle ABC
solve for x
therefore
<u>the answer Part a) is</u>
the measure of angle x is
Step
<u>Find the measure of the angle z</u>
we know that
--------> by supplementary angles
substitute the value of x
therefore
<u>the answer Part b) is</u>
the measure of angle z is
Step
<u>Find the measure of the angle y</u>
In the triangle ACD
solve for y
therefore
<u>the answer Part c) is</u>
the measure of angle y is
