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VARVARA [1.3K]
3 years ago
11

I only need help on questions 6 and 7. (Use the congruent figure on top to answer 6 and 7.)

Mathematics
1 answer:
allsm [11]3 years ago
5 0

Answer:

See below.

Step-by-step explanation:

All statements of congruent angles and congruent segments are correct.

A similarity statement can be written ...

Write a similarity statement ...

ABCD ~ HJKL

The reason written in the problem is incorrect. The polygons are similar, not congruent, so you cannot state that they are congruent as a reason for them to be similar.

This is the correct reason:

"The reason as why the two shapes are similar is that each angle A, B, C, D is congruent to each corresponding angle H, J, K, L, respectively, and the lengths of corresponding sides are proportional."

"A similarity ratio is a ratio that compares the <u>lengths</u> of the corresponding sides of two similar polygons. The ratio is written in the same order as the <u>two</u>

<u>polygons.</u>"

For the similarity ratio, we use two corresponding sides.

AB = 8; HJ = 12

AB/HJ = 8/12 = 2/3

The similarity ratio of ABCD to HJKL is 2/3.

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The mean age of 9 women in an office is 27 years old. The mean age of 7 men in an office is 25 years old. What is the mean age (
marta [7]

Answer:

26 years

Step-by-step explanation:

Given:

The mean age of 9 women = 27 years old

The mean age of 7 men = 25 years old

Question asked:

What is the mean age (nearest year) of all the people in the office?

solution:

By using, mean = sum of observations divided by number of entities

The mean age of 9 women = 27 years old

\frac{sum of ages}{number of women} = 27

Sum  of ages of women = 27 \times9 = 243\\ years

The mean age of 7 men = 25 years old

\frac{sum of ages}{number of men} = 25

sum of ages of men = 25 \times7 = 175

Total sum of ages of men and women in the office = 243 + 175

                                                                                     = 418 years

Total number of people in the office = 9 women + 7 men = 16

The mean age of all the people in the office = Total sum of ages of men and women in the office divided by Total number of people in the office

                                                                         = \frac{418}{16}  = 26.125

Therefore,  the mean age (nearest year) of all the people in the office = 26 years

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Answer:

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Step-by-step explanation:

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Answer:for #2 it's answer 1. #3 is " five less than twice a number is 2x-5. Then 5 times the sum of two numbers if 5x+y. The the difference of 5 and a number squared is (5-x)*2

Step-by-step explanation:

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