Answers:
- angle1 = 156 degrees
- angle2 = 24 degrees
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Explanation:
The two angles form a straight line, which is 180 degrees
Add up the angle expressions and set the sum equal to 180.
(angle1) + (angle2) = 180
(4x) + (x-15) = 180
(4x+x)-15 = 180
5x-15 = 180
5x = 180+15
5x = 195
x = 195/5
x = 39
We use that x value to find each missing angle
- angle1 = 4x = 4*39 = 156 degrees
- angle2 = x-15 = 39-15 = 24 degrees
Then notice how angle1+angle2 = 156+24 = 180 to verify the answer.
Side note: Angles that add to 180 are considered supplementary.
Answer:
6) x = 40.5
8) x = 16.5
Step-by-step explanation:
6) 45/x = 20/18
simplify and cross-multiply to get:
45/x = 10/9
10x = 405
x = 40.5
8) 22/8 = x/6
11/4 = x/6
4x = 66
x = 33/2
x = 16.5
The answer to 20 divided by 70 is
0.2857
The lowest common denominator of 1/3 and 2/9 = 9
