The two angles 2y and 4y-36 add up to 180 degrees since they form a straight angle (aka straight line). We'll use this to find y.
(2y) + (4y-36) = 180
2y + 4y-36 = 180
6y-36 = 180
6y-36+36 = 180+36
6y = 216
6y/6 = 216/6
y = 36
If y = 36, then 2y = 2*y = 2*36 = 72
The bottom right corner of the smaller triangle on the left has an angle of 72 degrees
Focus on this same triangle. It has angles 51 degrees (bottom left corner), 72 degrees (bottom right corner) and x degrees (top)
They add to 180 degrees
x+51+72 = 180
x+123 = 180
x+123-123 = 180-123
x = 57
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In summary,
x = 57
y = 36
Answer:2
Step-by-step explanation:
Number by x
Answer:
-11, -10, -9
Step-by-step explanation:
The middle one is their average, -30/3 = -10. The three integers are -11, -10, -9.
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I like to work "consecutive integer" problems using the average value of the integers involved. The average of <u>two</u> consecutive integers is 1/2 more than the small one, and 1/2 less than the large one, for example. Here, there are <u>three</u> consecutive integers, so their average is the middle one.
If you want to write that using an equation, you can let x represent the middle integer. Then the sum is ...
(x -1) +(x) + (x+1) = 3x = -30
x = -30/3 = -10 . . . . . the same average we computed above.
x -1 = -11 . . . . . the smaller of the other two integers
x +1 = -9 . . . . . the larger of the other two integers
Answer is 2y+22
Reason because you distribute the 2 to both of them
