The two posts are parallel lines. The ground is a transversal.
The angles measuring 4x and 75 are same side interior angles, so they are supplementary. Their measures add up to 180.
4x + 75 = 180
4x = 105
x = 26.25
Answer:
x = 162
Step-by-step explanation:
the sum of the interior angles of a quadrilateral = 360°
sum the interior angles of the quadrilateral and equate to 360
90 + 60 + x + 48 = 360 , that is
198 + x = 360 ( subtract 198 from both sides )
x = 162
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Answer: 51 oz is equal to 1,508.27 ml, or there are 1,508.27 milliliters in 51 ounces.
HOPE THIS HELPS
Answer:
(x, y) = (2, 5)
Step-by-step explanation:
I find it easier to solve equations like this by solving for x' = 1/x and y' = 1/y. The equations then become ...
3x' -y' = 13/10
x' +2y' = 9/10
Adding twice the first equation to the second, we get ...
2(3x' -y') +(x' +2y') = 2(13/10) +(9/10)
7x' = 35/10 . . . . . . simplify
x' = 5/10 = 1/2 . . . . divide by 7
Using the first equation to find y', we have ...
y' = 3x' -13/10 = 3(5/10) -13/10 = 2/10 = 1/5
So, the solution is ...
x = 1/x' = 1/(1/2) = 2
y = 1/y' = 1/(1/5) = 5
(x, y) = (2, 5)
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The attached graph shows the original equations. There are two points of intersection of the curves, one at (0, 0). Of course, both equations are undefined at that point, so each graph will have a "hole" there.