3 years ago

Points A, B, and C are collinear. Point B is between A and C. Solve for x if AC = 3x + 3, BC = 3, and AB = 2x + 2.

Mathematics

1 answer:

Ksenya-84 [330]3 years ago

5 0

Answer:

x=2.

Step-by-step explanation:

It is given that points A, B, and C are collinear. Point B is between A and C.

Using segment addition property, we get

$AC=AB+BC$

It is given that AC = 3x + 3, BC = 3, and AB = 2x + 2.

$3x+3=(2x+2)+3$

$3x+3=2x+5$

Isolate variable terms.

$3x-2x=5-3$

$x=2$

Therefore, the value of x is 2.

You might be interested in

A number with one or more digits to the right of a decimal point is called a

stira [4]

It's called a decimal.
I hope it helps.

5 0

3 years ago

Read 2 more answers

Last year, James earned £1,300 per month.

mrs_skeptik [129]

Answer:

1300/100 X 105 = 1365

1365/4 = 341.25 per week

341.25/40= 8.53125

$8.53

6 0

3 years ago

Solve. 90<img src="https://tex.z-dn.net/?f=x" id="TexFormula1" title="x" alt="x" align="absmiddle" class="latex-formula"> = 27.

Irina-Kira [14]

Answer: $x$ ≈ $0.732$

Step-by-step explanation:

You need to find the value of the variable "x".

To solve for "x" you need to apply the following property of logarithms:

$log(m)^n=nlog(m)$

Apply logarithm on both sides of the equation:

$90^x=27\\\\log(90)^x=log(27)$

Now, applying the property mentioned before, you can rewrite the equation in this form:

$xlog(90)=log(27)$

Finally, you can apply the Division property of equality, which states that:

$If\ a=b,\ then\ \frac{a}{c}=\frac{b}{c}$

Therefore, you need to divide both sides of the equation by $log(90)$ . Finally, you get:

$\frac{xlog(90)}{log(90)}=\frac{log(27)}{log(90)}\\\\x=\frac{log(27)}{log(90)}$

$x$ ≈ $0.732$

7 0

3 years ago

The formula to convert degrees Farenheit to degrees Celsius is as follows:

blondinia [14]

Answer:

69 degrees farinhieght

5 0

3 years ago

If a chicken has 4kg of corn, how many days will it last it if it eats 1/8 of a kg of corn a day.

Gala2k [10]

It would take 32 days

7 0

3 years ago