raiindrxp
22.03.2021 •
Mathematics
Given m || n, find the value of x and y
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Ответ:
Step-by-step explanation:
Hello There!
the angle labeled 7x + 13 and the angle labeled 9x - 19 are alternate exterior angles
alternate exterior angles are congruent so we can solve for x using this equation
7x-13=9x-19
step 1 subtract 13 to each side
-13 + 13 cancels out
-19-13 = -32
now we have
7x=9x-32
step 2 subtract 9x from each side
7x-9x=-2x
now we have
-2x=-32
step 3 divide each side by -2
-2x/-2=x
-32/-2=16
we're left with x = 16
Now lets plug in x to find the measure of the angle
16x9=144
27-19=125
the angle labeled 3y - 17 and the angle that has a measure of 125 degrees are supplementary angles meaning that the sum of the two angles is 180
so we can use this equation to solve for y
3y-17+125=180
step 1 combine like terms
-17+125=108
now we have
3y+108=180
step 2 subtract 108 from each side
180-108=72
108-108 cancels out
now we have
3y=72
step 3 divide each side by 3
3y/3=y
72/3=24
we're left with y=24
Ответ:
7/9
Step-by-step explanation: