What is the sum of the measures of the interior angles of the stop sign?
Answers
Answer:
Sum of Interior Angles = (Number of Sides -2) • 180 degrees
Sum of Interior Angles = (8 -2) * 180 = 1,080
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A final exam in Sociology has a mean of 72 and a standard deviation of 9.2. If 35 students are randomly selected, find the probability that that the mean of their test scores will be greater than 76. (Round to tenth of a percent)
Which of the following values cannot be probabilities? 0.04, 5 divided by 3, 1, 0, 3 divided by 5, StartRoot 2 EndRoot, negative 0.59, 1.49 Select all the values that cannot be probabilities. A. 1.49 B. 1 C. three fifths D. StartRoot 2 EndRoot E. five thirds F. 0 G. negative 0.59 H. 0.04
Answers
Answer:
- x = 55, y = 60
- E = 70°, F = 120°, G = 110°, H = 60°
- arcHF = 140°
Step-by-step explanation:
a) The sum of opposite angles of an inscribed quadrilateral is 180°. This lets us use angles E and G to solve for x:
(x+15) + (2x) = 180
3x + 15 = 180 . . .simplify
x +5 = 60 . . . . . divide by 3
x = 55 . . . . . . . . subtract 5
Similarly, we can use angles F and H to solve for y:
(3y -60) + (y) = 180
4y -60 = 180 . . . . simplify
y -15 = 45 . . . . . . divide by 4
y = 60 . . . . . . . . . add 15
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b) Then the measures of the angles are ...
G = 2x = 2·55 = 110
E = 180 -G = 70
H = y = 60
F = 180 -H = 120
The angle measures are ...
m∠E = 70°, m∠F = 120°, m∠G = 110°, m∠H = 60°
___
c) short arc HF is intercepted by inscribed angle E, so the arc will have twice the measure of the angle.
arc HF = 2·m∠E = 140°
_____
Comment on the problem
Throughout, the only relation being used is that the measure of an arc is twice the measure of the inscribed angle intercepting it. For opposite angles of the quadrilateral, the sum of the two intercepted arcs is 360° (the whole circle), so the sum of the two angles is 180°.
Answers
Answer:
x=1
Step-by-step explanation:
Divide both sides by the numeric factor on the left side, then solve.
Answer: x = 1
The way you find x is by dividing both sides of the equation by -7
Answers
Answer:
85
Step-by-step explanation:
Answers
Answer:
A. 0.333...
Step-by-step explanation:
Any repeating decimal can be written as a ratio of two integers, hence is rational. 0.333... = 1/3
The last offering appears to be a non-repeating infinite-length decimal, hence is irrational.
Of course π is irrational, as is the square root of any integer that is not the square of an integer.
Answers
Answer:
12
Step-by-step explanation:
The point-slope equation of a line is ...
y = m(x -h) +k
for a line with slope m through point (h, k).
The line with slope -1 through point (4, 3) has the equation ...
y = (-1)(x -4) +3
y = -x +7
Then the value of y for x=-5 is ...
y = -(-5) +7 = 12
The value of r is 12.
Final answer:
The value of r is 4 for a line passing through the points (4,3) and (-5, r) with a slope of -1.
Explanation:
The question asks for the value of r in a line that passes through the points (4,3) and (-5, r) with a slope of -1. In mathematics, the slope between any two points (x1, y1) and (x2, y2) is given by the formula (y2-y1)/(x2-x1). Applying this formula, we get the equation (r - 3) / (-5 - 4) = -1. Simplifying, we have r - 3 = 1, so r = 4. Therefore, the value of r should be 4 if the slope of the line that passes through the points (4,3) and (-5, r) is -1.
Learn more about Slope here:
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Answers
Answer:
15
Step-by-step explanation:
Here, 15 is not a square number so, 240 should be multiplied by 15 to make 240 as perfect square.
240* 15 = 3600