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geniusboy [140]
3 years ago
9

Double Points! (i have no clue how to do this) Find the value of the variables in the figure.

Mathematics
1 answer:
Aleks [24]3 years ago
6 0

Answer:

x=12 and y=31

Step-by-step explanation:

First, ( 5x - 7 ) and ( 3x + 17 ) are alternate interior angles, which means they are congruent, or equal:

5x - 7 = 3x + 17

Add 7 to each side:

5x = 3x + 24

Subtract 3x from both sides:

2x = 24

Divide each side by 2:

x = 12

Now we can see that ( 5x - 7 ) and ( 4y + 3 ) are supplementary angles, which means they will add up to 180 degrees:

5x - 7 + 4y + 3 = 180

Substitute 12 in for x to solve for y:

5 ( 12 ) - 7 + 4y + 3 = 180

60 - 7 + 4y + 3 = 180

combine like terms:

( 60 + ( -7 ) + 3 ) + 4y = 180

56 + 4y = 180

Subtract 56 from each side:

4y = 124

Divide each side by 4:

y = 31

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How many twelfths equal five-fourths
kakasveta [241]

Answer:

15

Step-by-step explanation:

Let n represent the number of twelvths in 5/4.

Expressed symbolically, this is n/12 = 5/4.

The LCD is 12.  Multiply numerator and denominator of 5/4 by 3, obtaining:

n/12 = 15/12.  Then n = 15.

There are 15 twelves in 5/4.

3 0
4 years ago
Grace surveys moviegoers as they exit the theater and asks them to give the movie that they just saw a “thumbs-down” rating. She
pychu [463]

Answer:

1) 25/54 = 46%

2) 10/27 = 37%

3) 17/27 = 63%

4) 20/27 = 74%

5) 17/27 = 63%

6) 10/17 = 59%

Step-by-step explanation:

1) (50 male)/108 total) = 25/54

2) (40 thumbs down)/(108) = 10/27

3) (68 thumbs down or male) / (108) = 17/27

4) (80 thumbs down or female)/(108) = 20/27

5) (68 thumbs up)/(108) = 17/27

6) (40 thumb up female)/(68) = 10/17

7 0
3 years ago
L=15 cm w=4 cm h=3 cm.what is the answer for s
umka21 [38]

Step-by-step explanation:

snxjxkdjdjdid d9

nxje didnejejejejdjjddjdj

8 0
3 years ago
Need Help ASAP!!
Ludmilka [50]

Answer:

  • blue: $8.50
  • yellow: $6.50

Step-by-step explanation:

Each of the 2-gallon mixes is made of 8 "parts" of paint, so each "part" is 2/8 gallons = 1/4 gallon = 1 quart. We can let <em>b</em> and <em>y</em> represent the costs of 1 quart of blue and yellow paint, respectively.

Then the cost for <u>2 gallons</u> is ...

  3b + 5y = 58 . . . lime green

  6b +2y = 64 . . . ocean blue

__

Subtracting the second equation from twice the first gives ...

  2(3b +5y) -(6b +2y) = 2(58) -(64)

  8y = 52

  y = 6.5

From the first equation, ...

  3b = 58 -5y = 58 -5·6.5 = 25.5

  b = 25.5/3 = 8.5

The cost of 1 quart of blue paint is $8.50; the cost of 1 quart of yellow paint is $6.50.

5 0
3 years ago
How do you rewrite (7+r)3 using the distributive property? HELP ASAP!!
Whitepunk [10]

Answer:

21+3r

Step-by-step explanation:

(7+r)3

3*7= 21

r*3= 3r

21+3r

6 0
4 years ago
Read 2 more answers
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