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Ad libitum [116K]
3 years ago
12

m∠ABC=(6x+8)° and m∠DEF=(12x−8)°. If ∠ABC and ∠DEF are supplementary, what is the measure of each angle?

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
3 0
<h3>★ <u>Solution:</u></h3>

Since it is given that the two angles are supplementary their sum must be equal to 180 degree

6x + 8 + 12x - 8 = 180°

→ 18x = 180°

→ x = 10°

Now substitute the value of x in the given two measures of angles.

  • m∠ABC = 6x + 8 = 68°
  • m∠DEF = 12x - 8 = 112°

Therefore the 2 angles are <u>68°</u> and <u>112°</u>

<em>Hope</em><em> </em><em>it</em><em> helps</em><em> </em><em>you </em><em> </em>:)

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Allison, Brianna, and Celeste went on a hike. Allison brought 9 homemade
poizon [28]

Answer:

Allison = $0.27

Brianna = $1.89

Step-by-step explanation:

The total cookies that the three girls have are:

Allison's cookies + Brianna's Cookies

= 9+15

=24

There is a total of 24 cookies which has to be divided between the 3.

So

Each girl gets 24/3 = 8 cookies.

Since Celeste had no cookies she will have to pay for the 8 cookies.

Allison had 9, she will give one to Celeste

Brianna had 15 out of which she will use 8 for her self and 7 will be given to Celeste.

Celeste is paying 2.16 for 8 cookies.

Price of one cookie = 2.16/8

=$0.27

So, amount that will be given to Allison = 0.27 * 1 = $0.27

Amount that will be given to Brianna = 0.27 * 7 = $1.89

6 0
3 years ago
Write an equation of the line that passes through (-5, -2) and is parallel to y = 2/3x+1
rewona [7]

Answer:

Step-by-step explanation:

Ok, so the slope has to be the same because it’s parallel.

y=2/3x+1

slope=2/3

y=-2

x=-5

y=2/3x+ what

-2=-3 1/3 + what

1 1/3

hence, y=2/3x+4/3

6 0
3 years ago
Help with #20 please!!!!!
shepuryov [24]
Remember that things like this, always need to add up to 180°.

7 0
4 years ago
1. 4x + 3(x-9) = 19
Dmitry_Shevchenko [17]

1) 4x + 3(x-9) = 19

or, 4x + 3x - 27 = 19

or, 7x = 19+27

or, 7x = 46

or, x = 46/7

◆ x = 6.57

2) 2(x-4) + 5x = 3

or, 2x - 8 + 5x = 3

or, 7x = 3+8

or, x = 11/7

◆ x = 1.57

3) 60 = 8y - 3(y-10)

or, 60 = 8y - 3y + 30

or, 60 - 30 = 5y

or, y = 30/5

◆ y = 6

4) 40 + 3c = 3 + 9(c-2)

or, 40 + 3c = 3 + 9c - 18

or, 40 + 3c = 9c - 15

or, 9c - 3c = 40 + 15

or, 6c = 55

◆ c = 9.166

I hope you understand..

Thank you...♥♥

5 0
2 years ago
Read 2 more answers
Alex’s printer can print 8 photos in 12 minutes.
Gre4nikov [31]

Answer:

120\ minutes

Step-by-step explanation:

step 1

Alex’s printer

we know that

print 8 photos in 12 minutes

so

by proportion

Find  how long will it take the printer to print 120 photos

\frac{12}{8}=\frac{x}{120}\\ \\x=120*12/8\\ \\x=180\ minutes

step 2

Khalil’s printer

we know that

print 24 photos in 1 hour (60 minutes)

so

by proportion

Find  how long will it take the printer to print 120 photos

\frac{60}{24}=\frac{x}{120}\\ \\x=120*60/24\\ \\x=300\ minutes

step 3

Find the difference

300\ minutes-180\ minutes=120\ minutes

7 0
3 years ago
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