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tonydeanfbg8706
03.03.2020 •
Mathematics
What is the solution to this system of equations? y = x - 20 x + y = 84
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Ответ:
(52, 32 )
Step-by-step explanation:
Given the 2 equations
y = x - 20 → (1)
x + y = 84 → (2)
Substitute y = x - 20 into (2)
x + x - 20 = 84, that is
2x - 20 = 84 ( add 20 to both sides )
2x = 104 ( divide both sides by 2 )
x = 52
Substitute x = 52 into (1) for corresponding value of y
y = 52 - 20 = 32
Solution is (52, 32 )
Ответ:
Step-by-step explanation:
In a parallelogram, the opposite sides are equal and parallel.
Also, consecutive angles in a parallelogram are supplementary. This means that the sum of the consecutive angles is 180 degrees.
Angle 2m and angle n are supplementary angles. Therefore,
2m + n = 180 - - - - - - - - - - - -1
Also, the opposite angle in a parallelogram are equal. This means that
2m = 70
m = 70/2
m = 35 degrees
Substituting m = 35 into equation 1, it becomes
2 × 35 + n = 180
70 + n = 180
n = 180 - 70
n = 110 degrees