You can write two equations using the given information:
.. L = W +8
.. L * W = 609
Using substitution, you get a quadratic.
.. (W +8) * W = 609
.. W^2 +8W -609 = 0
Not surprisingly, you're looking for factors of 609 that differ by 8.
.. 609 = 1*609 = 3*203 = 7*87 = 21*29
The last two are the factors of interest.
.. (W +29)(W -21) = 0
The width of the rectangle is 21 feet, the length is 29 feet.
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Sometimes it is easier to work with the average dimension. Here, let that be x. Then you have
.. (x +4)(x -4) = 609
.. x^2 -16 = 609
.. x^2 = 625 = 25^2 . . . . . . . one of your memorized math facts
So, the dimensions are
.. 25 +4 = 29 by 25 -4 = 21, that is, 29 ft by 21 ft.
1. m angle 2 = 122
m angle 2 is congruent to m angle 4
2. m angle 1 = 58
m angle 1 is supplementary to m angle 2, so their sum is 180. Thus, m angle 1 + 122 = 180, so m angle 1 = 180 -122 = 58.
If you appreciated my explanation, a brainliest award would be most appreciated.
The solution to the system of equations is (8, -4)
<h3>How to solve the system?</h3>
The system of equations is given as;
y = -1/4x - 2
y = 3/8x - 7
See attachment for the graph of the equations
From the attached graph, we have the point of intersection to be
(x, y) = (8, -4)
Hence, the solution to the system of equations is (8, -4)
Read more about system of equations at:
brainly.com/question/14323743
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