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stepan [7]
3 years ago
10

Find the measure of ∠x. A) 45° Eliminate B) 46° C) 56° D) 66°

Mathematics
1 answer:
Doss [256]3 years ago
4 0
D. 66

A triangles angles add up to 180 degrees so 90 + 24 = 114
180 - 114 = 66
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Line segment AB has endpoints A(7.5, 4.2) and B(2.3, 5.4). Find the coordinates of the point that divides the line segment direc
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Given a line with endpoints A(x_1,\, y_1) and B(x_2,\, y_2), the <span>coordinates of the point that divides the line segment directed from A to B in the ratio of m : n is given by</span>

(x,\, y)=\left( \frac{n(x_1)+m(x_2)}{m+n} ,\,  \frac{m(y_1)+n(y_2)}{m+n} \right)

Given that l<span>ine segment AB has endpoints A(7.5, 4.2) and B(2.3, 5.4). the coordinates of the point that divides the line segment directed from A to B in the ratio of 1 : 3 is given by

(x,\, y)=\left( \frac{3(7.5)+2.3}{1+3},\,  \frac{3(4.2)+5.4}{1+3} \right) \\  \\ =\left( \frac{22.5+2.3}{4} ,\,  \frac{12.6+5.4}{4} \right)=\left( \frac{24.8}{4} ,\, \frac{18}{4}\right) \\  \\ =(6.2,\, 4.5)</span>
3 0
3 years ago
Use a calculator to find the
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Use the calculator to find the Product
8 0
3 years ago
Sixty percent of the people surveyed use sunscreen. A random number generator was used to simulate the results of asking the nex
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Answer:

P(sunscreen) =910

Step-by-step explanation:

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5 0
3 years ago
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Emily and Hunter tracked the average temperature in their city for the past 8 days. They recorded their temperature findings in
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Answer:

The mean absolute deviation = 3.5°F

Step-by-step explanation:

The sum of the given temperatures, ∑T, is found as follows;

∑T = 66°F + 57°F + 61°F + 65°F + 54°F + 62°F + 59°F + 56°F = 480°F

The number of days, n, over which the temperature was tracked = 8 days

Therefore, the mean, \bar x, of the data set = ∑T/n = 480°F/8 = 60°F

The mean absolute deviation is given by the following formula;

Mean \ absolute \ deviation = \frac{\sum \limits_{i = 1}^{n} \left | x_i - \bar x \right | }{n}

Therefore, we have;

66 - 60 = \left | 6\right | = 6

57 - 60 = \left | -3\right | = 3

61 - 60 =  \left | 1\right | = 1

65 - 60 =  \left | 5\right | = 5

54 - 60 =  \left | -6\right | = 6

62 - 60 =  \left | 2\right | = 2

59 - 60 =  \left | -1\right | = 1

56 - 60 =  \left | -4\right | = 4

The mean absolute deviation is therefore;

The mean absolute deviation = (6 + 3 + 1 + 5 + 6 + 2 + 1 + 4)/8 = 3.5°F.

7 0
3 years ago
The greater of two consecutive integers is 15 more than twice the smaller. Find the integers.
Vlad [161]

Well, we know that the two consecutive numbers have to be negative, because if it was positive, the smaller number multiplied by two would be much greater. (unless 1 and 2). So, by guessing and checking, we will get -13 and -14 :)

3 0
4 years ago
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