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.
Step-by-step explanation:
BDC and ACD are complementary with each other. that means together they cover the full 180 degrees of the half circle that can be drawn on one side of a flat line.
180 = 11x + 25 + 4x + 5 = 15x + 30
150 = 15x
x = 10
BDC = 11x + 25 = 11×10 + 25 = 110 + 25 = 135 degrees
ACD = 4x + 5 = 4×10 + 5 = 40 + 5 = 45 degrees
Answer:
To find the slope given two points, use the slope formula. The slope formula is Y2-Y1/X2-X1. Substitute in the given points and solve.
365-170/5-2
195/3
65
The slope of the two points is 65.
Hope this helps! :)
