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azamat
3 years ago
11

Use the figure to write the segment addition postulate, write an equation and solve for x.

Mathematics
1 answer:
Alenkinab [10]3 years ago
4 0

Answer:

5. x = -1

6. x = 2

Step-by-step explanation:

5. AB = 5

BC = 2x + 6

AC = x + 10

AB + BC = AC (segment addition postulate)

5 + 2x + 6 = x + 10 (substitution)

Collect like terms

5 + 6 + 2x = x + 10

11 + 2x = x + 10

2x - x = - 11 + 10

x = -1

6. AB = 9x + 7

BC = -3x + 20

AC = 39

AB + BC = AC (segment addition postulate)

(9x + 7) + (-3x + 20) = 39 (substitution)

Solve for x

9x + 7 - 3x + 20 = 39

Collect like terms

9x - 3x + 7 + 20 = 39

6x + 27 = 39

Subtract 27 from both sides

6x + 27 - 27 = 39 - 27

6x = 12

Divided both sides by 6

6x/6 = 12/6

x = 2

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-2/3f=9.2<br> -1/8n = -2/7 <br> 12/20n = -36/44<br> -64.5g = -25.8 <br> -15/28 = -9/10
user100 [1]

Step-by-step explanation:

-2/3f =9.2

cross multiply

27,6= -2f

divide both sides by 2

f = - 13.8

-1/8n = -2/7

cross multiply

-16 = -7n

divide

n = 2.29

12/20n = -36/44

cross multiply

528 = - 720n

divide

n= -0.733

-64.5g = -25.8

divide both sides by -64.5

g = -0.4

the last one has no variable

5 0
3 years ago
Pls help me with this, i’ll give brainly
Nataly_w [17]

Answer:

shirts = 15 when pants = 6

15

Step-by-step explanation:

Try two others that are given

shirts / pants = 10 / 4 = 2.5

shirts / pants = 30/12 = 2.5

So shirts/pants = 2.5 = x/6

2.5 = x / 6                            Multiply by 6

2.5 * 6 = x

x = 15

8 0
2 years ago
17. The area of a rectangular sandbox is 8x2 + 18x + 9. If one of it's dimensions is (2x + 3), what is the other
Natasha2012 [34]

Answer:

The other dimension of the sandbox must be (4x+3).

Hope this helps! Have a good day!

6 0
2 years ago
Which statement best explains why this expression is equal to 9.4? A)Any expression multiplied by 0 equals 0. B)Any number divid
tigry1 [53]

Answer: A.

Step-by-step explanation:

yeet

5 0
3 years ago
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Answer:

sup

Step-by-step explanation:

sup

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3 years ago
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