Mathematics, 22.01.2021 23:40 esdancer5403

9. If AT = 2x + 1, TL = 15, and AL = 7x + 1, select ALL that are true.

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Answer from: lailahussain99

B. x = 3

C. Segment AT = 7

F. Segment AL = 22

Step-by-step explanation:

To figure out what the length of Segments AT and AL are use the equation ((2x + 1) + 15) = 7x + 1.

((2x + 1) + 15) = 7x + 1

Add 1 to 15 to get 16.

2x + 16 = 7x + 1

Subtract 7x from both sides. This cancels the +7x.

2x + 16 - 7x = 1

Combine 2x and -7x to get -5x

-5x + 16 = 1

Subtract 16 from both sides. This chancels the +16x.

-5x = 1 - 16

Subtract 16 from 1 to get -15.

-5x = -15

Divide both sides by -5. This cancels the multiplication by -5.

x = -15/-5

Dividing any two negative numbers ends in a positive. Divide -15 by -5 to get 3.

x = 3

Now, substitute x for 3 in 2x + 1 and 7x + 1 to figure out the lengths.

2(3) + 1

Mulitply 2 by 3 for 6.

6 + 1

Add 1 to 6 to get 7.

Segment AT is 7 units long.

7(3) + 1

Multiply 7 by 3 to get 21.

21 + 1

Add 1 to 21 to get 22.

Segment AL is 22 units long.

Answer from: Quest

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

$4/2 = 2\\7/3.5=2\\8/4=2\\10/5=2$

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

$y=\frac{x}{2}$

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

Answer from: Quest

oof cheaters cheat because they’re lazy that’s why i cheat xd

: )

step-by-step explanation:

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9. If AT = 2x + 1, TL = 15, and AL = 7x + 1, select ALL that are true.
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