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amm1812
4 years ago
13

Find the values that make this a parallelogram (please show work)

Mathematics
1 answer:
Dmitry [639]4 years ago
7 0

Answer:

Correct answer is: 7. y = 28° and x = 29°   8. y = 7 and x = 5

Step-by-step explanation:

7.

In the parallelogram, adjacent angles are supplementary and the opposite angles are the same.

According to this:

(3 y - 20) + (4 y + 4) = 180 => 7 y - 16 = 180 => 7 y = 180 + 16 => 7 y = 196

y = 196/7 = 28°  =>  y = 28°

4 x + (2 x + 6) = 180 => 6 x + 6 = 180 => 6 x = 180 - 6 => 6 x = 174

x = 174/6 = 29°  => x = 29°

8.

At the parallelogram, the diagonal is split into two equal parts.

According to this:

3 y - 3 = 2 y + 4 => 3 y - 2 y = 4 + 3 => y = 7

x - 1 = 2 x - 6 => 2 x - x = 6 - 1 => x = 5

God with you!!!

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The ages of Aman and Arun are in the ratio 5:7. Four years later the sum of their ages will be 56 years. What are their present
Viktor [21]

Answer:

Aman's age = 20, Arun's age = 28

Step-by-step explanation:

Let x = Aman's age

Let y = Arun's age

- - - -

x+4+y+4=56 (Sum of their age is 56 after 4 years in the future)

x+y+8=56

x+y=48

\frac{x}{y} = \frac{5}{7} (Ages are in the ratio 5:7)

x=\frac{5}{7}y

Now, we can use substitution to find for Arun's age:

x+y=48

\frac{5}{7}y+y=48

\frac{12}{7}y=48

y=28

∴ Arun is 28

To find for Aman's age, we can use substitution:

x+y=48

x+28=48

x=20

∴ Aman is 20

Hope this helps :)

8 0
3 years ago
The price of a television set on sale is $360. This is two thirds of the regular price.find the regular price.
mestny [16]

divide 360 by 2 with an outcome of 180 then multiply by 3
answer is 540
5 0
3 years ago
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What's the radius of the big cylinder?
Ad libitum [116K]

Answer:

I think 56.52

Step-by-step explanation:

To find the radius you'll have to do C=2(3.14)(9)=56.52

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3 years ago
The square of a whole number is between 1200 and 1600. The number must be between
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1200 and 1600                 iomnlnklk
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3 years ago
Find the value of x.
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Answer:

x=8

Step-by-step explanation:

5x-2x=3x=24 x=8

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