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Oksanka [162]
3 years ago
14

Complete the proof by filling in the missing reasons using the Reasoning bank.

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
3 0

 Statements                                                      Reasons

1. M lies on AB                                                    Given

2. AM+MB=AB                                                   Definition of midpoint

3. 2x+2+4x-4 = 16                                             Segment Addition Postulate

4. 6x-2 = 16                                                         Combining like terms

5. 6x = 18                                                             Addition Property of equality

6. x = 3                                                               Division Property of equality

7. AM=2(3)+2 and MB=4(3)-4                            Substitution property of equality

8. AM=8 and MB=8                                              Definition of midpoint

9. M is a midpoint                                                Hence, proved.

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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
amm1812

Answer:

The solution of this system of equations is (3 , -8)

Step-by-step explanation:

The given system is

x + 2y = -13

12x + 5y = -4

We make x the subject of the first equation and put it into the second:

x =  - 13 - 2y

We put this expression for x into the second equation

12(-13-2y)+5y=-4

-156-24y+5y=-4

-24y+5y=-4+156

-19y=152

y=-8

We substitute y=-8 into x=-13-2y to get:

x =  - 13 - 2( - 8) = 3

The solution of this system of equations is (3 , -8)

3 0
3 years ago
Which expression is equivalent to the following complex fraction?
andrezito [222]

Answer:

The same thing but with y

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A man walks 10 km, then travels a certain distance by train and then by bus as far as twice by the train. If the whole journey i
Nostrana [21]

Answer:

The man traveled 20km by train.

Step-by-step explanation:

If x is the distance he traveled by train, you can write this equation to represent the situation:

10+x+2x=70

Then, you can simply solve for x:

10+3x=70\\3x=60\\x=20

The man traveled 20km by train.

10+(20)+2(20)=70\\10+20+40=70\\70=70

3 0
2 years ago
Need ASAP pls pls can you show your work
ziro4ka [17]
Team A: $65.45
Team B: 65.45 x 3 = $196.35
Team C: 196.35 + 20.15 = $216.50
5 0
2 years ago
Write an equation in point-slope form and slope-intercept form for the line.
Ber [7]

Answer:

y = 5- 36

Step-by-step explanation:

6 is the x

-6 is the y

y=mx+b

so m times x, m is the slope

5 times 6 is 30

-6=30+b

so -36

y=5x-36

SORRY IF IM WRONG I TRIED

8 0
3 years ago
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