1. Calculate the variance of the set of data to two decimal places.
1 answer:
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The coordinate of point B is at (29, -15): Option C is correct.
The formula for calculating the midpoint of two points is expressed as:
Given the coordinate points
A is (5, 7).
B is (x, y).
M is (17, -4)
Substituting into the formula to get x and y
17 = 5+x/2
5+x = 34
x = 34 - 5
x = 29
Get the value of y. Similarly;
-4 = 7+y/2
-8 = 7+y
y = -8-7
y = -15
Hence the coordinate of point B is at (29, -15)
Learn more here: brainly.com/question/13989426
Answer:
- x = 30°
- RS = 30°, SR = TU = 120°, UR = 90°
- ∠P = 45°
- ∠UTS = 60°
Step-by-step explanation:
(a) If RS = x, then the sum of arcs around the circle is ...
x + 4x +4x +3x = 360°
12x = 360°
x = 30°
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(b) Based on the given ratios, the arc measures are computed from x. For example, ST = TU = 4x = 4(30°) = 120°
- RS = 30°
- ST = 120°
- TU = 120°
- UR = 90°
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(c) Angle P is half the difference of arcs TU and RS:
∠P = (TU -RS)/2 = (120° -30°)/2
∠P = 45°
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(d) Inscribed angle UTS is half the measure of the arc it intercepts. Arc RU has the measure (30° +90°) = 120°, so the measure of UTS is ...
∠UTS = 120°/2 = 60°
