Answers:
x = 7
The measure of angle D is 14 degrees
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Angle C and angle D are complementary, which means they add to 90 degrees.
(angle C) + (angle D) = 90
(12x-8) + (3x-7) = 90
12x-8 + 3x-7 = 90
(12x+3x) + (-8-7) = 90
15x-15 = 90
15x-15+15 = 90+15
15x = 105
15x/15 = 105/15
x = 7
So you have the correct x value. Nice work.
Now use this x value to find the measure of angle D
angle D = 3*x - 7
angle D = 3*7 - 7
angle D = 21 - 7
angle D = 14 degrees
The slope is m=9 for the points.
Step-by-step explanation:
Margin of error = critical value × standard deviation
We aren't given the critical value or any information to calculate it, so we need to make some assumptions. Assuming the data set is large enough to be approximated as normal, and that the confidence level is 95%, then the critical value is 1.96.
ME = 1.96 × 9.5
ME = 18.62
You may choose to round 1.96 to 2, in which case the margin of error is:
ME = 2 × 9.5
ME = 19
Let the weight of triangle be x units. You are given that the weight of square is 1 unit.
1) On the left side of the balanced beam you can see 3 triangles and 5 squares. The weight on left side is 3·x+5·1=3x+5 units.
2) On the right side of the balanced beam you can see 2 triangles and 7 squares. The weight on right side is 2·x+7·1=2x+7 units.
3) If the whole system is balanced, then the weights on left and right sides are equal:
3x+5=2x+7.
Solve this equation:
3x-2x=7-5,
x=2 units.
Answer: option A
She would’ve ran 54.25 miles because 1.75 multiplied by 31 is 54.25. Hope this helps:)
