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3 years ago

Can someone please tell me if these triangles are similar or not, and why.

Mathematics

2 answers:

Roman55 [17]3 years ago

7 0

Answer:

not similar

Step-by-step explanation:

because the angles are different

Aliun [14]3 years ago

3 0

Both of these have similar sizes of angles and both of the triangles are scalene triangles.

Hope this helped and have a nice day
Also pls mark me as brainliest if it does help : )

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The frequency distribution representing the number of frequent flier miles accumulated by employees at Brumley Statistical Consu

alisha [4.7K]

Answer:

a. How many employees accumulated less than 3,000 miles?

The number of employees accumulated less than 3,000 miles= 5

So the number of employees accumulated less than 3,000 miles is 5.

d. Based on the cumulative frequency polygon, about 75% of the employees accumulated how many miles or less?

8.5 thousands of miles, found by starting at 75 percent on the vertical axis on the right, over to the polygon and then down to the horizontal axis.

Step-by-step explanation:

The given frequency distribution representing the number of frequent flier miles accumulated by the employees in a company.

Frequent Flier Miles (000) Frequency

0 up to 3 5

3 up to 6 12

6 up to 9 23

9 up to 12 8

12 up to 15 2

Total 50

a. How many employees accumulated less than 3,000 miles?

The number of employees accumulated less than 3,000 miles= 5

So the number of employees accumulated less than 3,000 miles is 5.

b. Convert the frequency distribution to a cumulative frequency distribution.

We make the cumulative frequency distribution from the frequency distribution by adding up a frequency and all other frequencies below it.

Frequent Flier Miles Frequency Cumulative frequency

0 up to 3 5 5

3 up to 6 12 17

6 up to 9 23 40

9 up to 12 8 48

12 up to 15 2 50

Total 50

d. Based on the cumulative frequency polygon, about 75% of the employees accumulated how many miles or less?

8.5 thousands of miles, found by starting at 75 percent on the vertical axis on the right, over to the polygon and then down to the horizontal axis.

8 0

3 years ago

What is the total surface area of the prism?

Trava [24]

The total surface area of this prism is 480.

7 0

3 years ago

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The mathematics department of a college has 15 male professors, 9 female professors, 6 male teaching assistants, and 12 female t

Vesnalui [34]

Given:

The number of male professors = 15.

The number of female professors = 9.

The number of male teaching assistants = 6.

The number of female teaching assistants = 12.

A person is selected randomly from the group.

Required:

We need to find the probability that the selected person is a professor or a male.

Explanation:

The total number of people in the group = 15+9+6+12 = 42

n(S) =The total number of people in the group

$n(S)=42$

Let A be the event that the selected person is a professor or a male.

The number of people who are professors or male = 15+9+6 = 30

n(A)= The number of people who are professors or male.

$n(A)=30$

Let P(A) be the probability that the selected person is a professor or a male.

$P(A)=\frac{n(A)}{n(S)}$ $P(A)=\frac{30}{42}$ $P(A)=\frac{15}{21}=\frac{5}{7}$

Final answer:

The probability that the selected person is a professor or a male is 5/7.

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1 year ago

If the parallel sides of a trapezoid are contained by the lines and , find the equation of the line that contains the midsegment

Fittoniya [83]

Answer:

Equation of midsegment line: y = (-1/4)x + 2.

Step-by-step explanation:

If the parallel sides of a trapezoid are contained by the lines:-

y = (-1/4)x +5 and y = (-1/4)x - 1

Midsegment of any trapezoid is the line segment

1. that is parallel to pair of parallel side of trapezoid and

2. that passes through the middle of the trapezoid and cuts the other two sides into equal-half.

It means the midsegment would have same slope as the parallel lines and y-intercept would be in the middle of intercepts of parallel lines.

So y = mx + b

where m = -1/4 and b = (5 - 1)/2 = 4/2 = 2.

Hence, the equation of midsegment would be y = (-1/4)x + 2.

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3 years ago

Consider triangle WXY... which statement about the angles is true?

Brrunno [24]

Answer: The correct option is (A) Angle W is greater than angle Y.

Step-by-step explanation: Given that the measures of the three sides of a triangle XYZ are as follows:

XY = 10 units,

WY = 14 units,

WX = 5 units.

We are to select the correct statements regarding the angles of ΔXYZ.

Writing the lengths of the sides in ascending order, we have

$5$

Since the angle opposite to a smaller side of a triangle is smaller, so from inequality (i), we get

$WX$

Option (A) is "Angle W is greater than angle Y".

This option is correct, because we have ∠W > ∠Y.

Option (B) is "Angle Y is the largest angle".

This is incorrect because ∠X is the largest angle.

Option (C) is "Angle X is smaller than angle W"

This is incorrect because ∠X is the largest.

Option (D) is "Angle W is the smallest angle".

This is incorrect because ∠Y is the smallest.

Thus, (A) is the correct option.

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3 years ago

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