Answer:
A simplified form of 30/36 would be 15/18 then 5/6
Answer:
- 102 + (3x +2) = 180 . . . . equation to solve
- x = 25 1/3 . . . . . . . . . . . . value of x
Step-by-step explanation:
It can be helpful to draw a diagram of a parallelogram ABCD and identify the angles in the problem statement. You will find they are adjacent angles.
Adjacent angles in a parallelogram are supplementary, so the sum of the given angle measures will be 180°.
102 + (3x +2) = 180 . . . equation used to solve for x
3x = 76 . . . . . . . . . . . . . subtract 104
x = 76/3 . . . . . . . . . . . . divide by 3
x = 25 1/3 . . . the value of x
<span>In this case, use variables to represent the numbers, Fortunately, they are all in terms of the smaller number. So. let....
x = small number
(x+3) = middle number
2x = large number
If the sum is 75, then all of the numbers added together must equal this. So......
x + (x+3) + 2x = 75
4x + 3 = 75
4x = 72
x = 18
After we find x, we can conclude that..
Smaller number = 18
Middle number = 21
Large number = 36</span>