All categories

1 year ago

B is between A and C. If A B = x + 2 , B C = 2 x − 3 , and A C = 5 x − 7 , what is AB? A B =

Mathematics

1 answer:

irinina [24]1 year ago

3 0

Answer: AC = 3

Step-by-step explanation:

We know that B is between A and C, but it may not be the midpoint. Therefore, AB + BC = AC, meaning that we can add the AB and BC equations and set that equal to the AC equation:

x + 2 + 2x - 3 = 5x - 7

3x - 1 = 5x - 7

3x + 6 = 5x

6 = 2x

x = 3

Now we can plug in 3 as x to get AB:

AC = 5(2) - 7

AC = 10 - 7

AC = 3

You might be interested in

20 is what percent of 50?

djverab [1.8K]

We can rephrase the question as "What percent of 50 is 20?".
"What percent ..." is an unknown. We'll use the variable x to represent this unknown.

The word 'of' in mathematics can mean 'multiply'. Likewise the word 'is' can mean 'equal'.

Now we have the phrase "20 equals to x times 50".

Or in an equation: 20 = x * 50

Solve for x.

20 = x * 50
$\frac{20}{50}$ = x <-- Divide both sides by 50

Simplify the fraction.

$\frac{20}{50} = \frac{2}{5}$

Convert the fraction into a decimal.

$\frac{2}{5}$ = 0.4

Convert the decimal into a percent.

0.4 = 40%

So, 40% is the answer.

3 0

4 years ago

When solving the equation 4(3x^2 + 2) - 9 = 8x^2 + 7, Emily wrote

Alenkinab [10]

1 addition property of equality

Since there the -9 disappeared on the left and the +7 changed by 9 to a +16, 9 must have been added to both sides of the equation, and the addition property of equality states that the equation remains true when the same thing is added to both sides.

4 0

4 years ago

If the triangle and a parallelogram standing on the same base and lying between the same parallels. Which of the following relat

AlexFokin [52]

Answer:

Step-by-step explanation:If a triangle and parallelogram are on the same base and have the same altitude, the area of the triangle will be half that of the parallelogram. If they have same altitude, they will lie between the same parallels. Hence the area of the triangle will be equal to half that of the parallelogram.

7 0

3 years ago

Kendyl is memorizing a piece of saxophone music to perform at a local festival. She currently has the first eight bars memorized

dusya [7]

Answer:

The recursive formula to model Kendyl's progress is:

Fourth option: an=an-1 + 2, a1=8

Step-by-step explanation:

She currently has the first eight bars memorized: The first value is 8:

a1=8

She plans to memorize two more bars everyday until she has the whole piece memorized:

The number of bars memorized is two more than the last day:

an=an-1 + 2

Then, the recursive formula is:

an=an-1 + 2, a1=8

4 0

3 years ago

Read 2 more answers

*WILL GIVE BRAINLIEST FOR THE BEST ANSWER NO VIRUS LINKS OR ILL REPORT YOU*

exis [7]

Answer:

C) The sample does not accurately represent the population

3 0

3 years ago

Read 2 more answers