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2 years ago

How do you know if alternate interior angles and alternate exterior angles have the same measure?

Mathematics

1 answer:

AnnZ [28]2 years ago

5 0

Answer:

If the transversal cuts across parallel lines (the usual case) then alternate exterior angles have the same measure. So in the figure above, as you move points A or B, the two alternate angles shown always have the same measure.

Step-by-step explanation:

Hope this helps

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Find the surface area of each figure?Please help

kolbaska11 [484]

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Surface area of the cube
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6(2.5 x 2.5) = 37.5m²

(* Each area is 2.5 x 2.5, and there are 6 sides to the cube)

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Surface area of the rectangle prism
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2(11 x 7) + 2(9 x 7) + 2(9 x 11) = 478m²

(* The opposite side of the rectangle area is the same, therefore x2)

--------------------------------------------------
Overlapping area
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2.5 x 2.5 = 6.25m²

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Surface area of the composite figure
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37.5 + 478 - 2(6.25) = 503m²

(* The bottom of the cube and the top of the rectangle prism overlapped, so the area is overlapped twice, minus 2 times of that area)

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Answer: 503m²
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4 0

3 years ago

May I have some help please?

MakcuM [25]

Answer:

If this is solving for a hypotenuse, the answer is 8.

Step-by-step explanation:

a^2 + b^2 = c^2

6^2 b^2 = 10^2

36 + b^2 = 100

100 - 36 = 64

The square root of 64 is 8.

6 0

3 years ago

For each of the following claims, fill in the blanks in the provided hypotheses with inequalities. If your answer is "less than,

Leni [432]

Answer:

a) H0: μ=>3; Ha: μ<3

b) H0: μ<=110; Ha: μ>110

c) H0: μ=2.1; Ha: μ/=2.1

d) H0: μ=>70; Ha: μ<70

Step-by-step explanation:

The claims are usually expressed in the alternative hypothesis, for which we evaluate the evidence, usually sample statistics.

(a) Theory to be tested: The average number of children per household in the United States is less than 3.

In this case, the claim is that the mean is below 3 children per household. The null hypothesis will state then that the average number of children is 3 or more.

H0: μ=>3; Ha: μ<3

(b) Theory to be tested: The average weight of TAMU students is greater than 110 pounds.

The alternative hypothesis represents the claim that the mean is greater than 110. The null hypothesis, then will state that the mean is equal or less than 110.

H0: μ<=110; Ha: μ>110

In this case, the alternative hypothesis is represented by an unequal sign (the average diameter can be higher or lower). Then, the null hypothesis will state that the average diameter is equal to 2.1.

H0: μ=2.1; Ha: μ/=2.1

(d) Theory to be tested: In Belarus (former member of the Soviet Union, located near Chernobyl), the average life span is under 70 years.

The alternative hypothesis states that the average life span is under 70 years, so the null hypothesis will state that it is equal or more than 70 years.

H0: μ=>70; Ha: μ<70

3 0

3 years ago

Helpppppppp pleaseee

IrinaK [193]

Answer:

Step-by-step explanation:

5 0

3 years ago

In the coordinate plane, what is the length of the line segment that connects points at (0, −1) and (−7, −2) ?

stiv31 [10]

A (−3, 1) and B (3, 4) 2 Let A have coordinates (x1, y1). Let (x1, y1) = (−3, 1). 3 Let B have coordinates (x2, y2). Let (x2, y2) = (3, 4). 4 Find the length AB by applying the formula for the distance between two points. AB = "(x2 − x1)2 + (y2 − y1)2 = "[3 − (−3)]2 + (4 − 1)2 = "(6)2 + (3)2 = !36 + 9 = !45 = 3!5 = 6.71 1

6 0

3 years ago

How do you know if alternate interior angles and alternate exterior angles have the same measure?￼

How do you know if alternate interior angles and alternate exterior angles have the same measure?