1/2 (6x - 10) + 10 = 5x - 13
(6x/2) - (10/2) + 10 = 5x - 13
3x - 5 + 10 = 5x - 13
3x - 5x = -13 + 5 - 10
-2x = -18
x = -18 / -2
x = 9
D.) x = 9
Answers:
- x = 11
- angle RQS = 106 degrees
- angle SQT = 74 degrees
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Explanation:
Straight angles are always 180 degrees in measure.
The two smaller angles shown add up to 180
(angle RQS) + (angle SQT) = angle RQT
(9x+7) + (6x+8) = 180
(9x+6x) + (7+8) = 180
15x+15 = 180
15x = 180-15
15x = 165
x = 165/15
x = 11
From here, we then know that,
- angle RQS = 9x+7 = 9*11+7 = 99+7 = 106 degrees
- angle SQT = 6x+8 = 6*11+8 = 66+8 = 74 degrees
Note how the two results add to 106+74 = 180 to help confirm the answers.
You can rewrite this equation as "f - g - 1". That's all that I see that you can do with this.