Since the second angle + first angle is 90 degrees, the third angle must be 90 degrees to complete the 180 degrees in a circle.
Hope this helps!
Set as a proportion
16 = 12
------------------
5x+2 24
cross multiply
12(5x+2) = 16 * 24
60x +24 = 384
60x +24-24 = 384-24
60x =360
60x/60=360/60
x =6
To figure AB plug 6 into 5x+2
5x +2
5(6) + 2
30+2
32
AB = 32
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➷ Substitute the x and y values into the equation:
y = mx + c
'm' is the slope, which we know is 4
-10 = 4(3) + c
- 10 = 12 + c
c = -22
The equation is y = 4x -22
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Answer:
y = 10
x = 64
Step-by-step explanation:
the equations containing y are adjacent angles in a parallelogram, meaning that they are supplementary, so we can create an equation:
5y + 2 + 12y + 8 = 180
solve this to get y = 10
the equation for x would be 2x + 5y + 8 = 180 because these angles are also supplementary
solve this to get x = 64