Answer:
x = 200
Step-by-step explanation:
Multiply by 4:
x + 120 + 2x = 720
3x = 600 . . . . . . collect terms, subtract 120
x = 200 . . . . . . . divide by 3
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<em>Check</em>
(200/4 +30) +(200/2) = 180
(50 +30) + 100 = 180
80 + 100 = 180 . . . . . true
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<em>Alternate solution</em>
If you like, you can simply work with the equation given.
(3/4)x + 30 = 180 . . . . collect terms
(3/4)x = 150 . . . . . . . . . subtract 30
x = 200 . . . . . . . . . . . . multiply by 4/3
Without regard to the format you need to put your proof in...
Basically if something is an angle bisector then that means it cuts an angle evenly in two, so both side of the angle are the same. In this case you’re bisecting a 52 degree angle, which means that each of the two resulting angles are 52/2 = 26 degrees. Hope that helps!
Answer:
<em>The length of the line segment AB is 17.1</em>
Step-by-step explanation:
<u>Distance Between two Points in the Plane</u>
Given two points A(x1,y1) and B(x2,y2), the distance between them is:
We are given the points A(12,-2) and B(-4,-8). Applying the formula:
d = 17.1
The length of the line segment AB is 17.1
