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Allisa [31]
3 years ago
6

Points A, B, and C are collinear. Point B is between A and C. Find the length indicated. AB= 5x-15, BC=3x-5, and AC=28. Find AB

Mathematics
1 answer:
katrin2010 [14]3 years ago
4 0

Answer: AB is 15

Step-by-step explanation: First, you need to draw a picture and label the parts of the line: AB=5x-15; BC= 3x-5; AC =28. Because of the segment addition postulate, you set the equation to be 5x-15+3x-5=28. Then you solve:

5x-15+3x-5=28

Add like terms:

8x-20=28

Add 20 to both sides

8x=48

Divide by 8

x=6

Now, you need to find the measure of AB, so you plug the 6 into the x variable for 5x-15

5(6)-15

30-15

AB=15

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Answer:

20

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He only can put 12 boxes in 1 crate to ship 230 boxes of oatmeal the least number of crates he can use is 20 because 20 crates would= up to 240 boxes.

He can't do 19 boxes because he is short he would then only have 228 boxes and that is 2 short.

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My calculations.

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I hope this helps have a awesome day:)

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3 years ago
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You placed a 12% down payment on a new home. Given that the amount of the down payment was $42,655.12, determine the price of th
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Solve for x please and thank you.
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6 0
3 years ago
the sum of three numbers is 79. The second number is 5 times the first, while the third is 16 more than the first. Find the numb
swat32
Let the 1st number be x; 2nd number be y; 3rd number be z.

x + y + z = 79

x = number we are looking for.
y = x * 5 ==> 5 times the first
z = x + 16 ==> 16 more than the first

Therefor,

x + (x * 5) + (x+16) = 79

1st step, multiply the 2nd number: x * 5 = 5x

x + 5x + x + 16 = 79

Add all like numbers:

7x + 16 = 79

To get x, transfer 16 to the other side and change its sign from positive to negative.

7x = 79 - 16
7x = 63

To get x, divide both sides by 7

7x/7 = 63/7
x = 9

To check. Substitute x by 9.

x + (x * 5) + (x+16) = 79

9 + (9 * 5) + (9 + 16) = 79
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79 = 79 equal. value of x is correct.

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4 years ago
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Irina18 [472]

Answer:

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