All categories

2 years ago

Points A, B, and C are collinear and B lies between A and C. If AC = 48, AB = 2x + 2, and BC = 3x + 6, what is BC?

Mathematics

2 answers:

scZoUnD [109]2 years ago

8 0

Answer:

Step-by-step explanation:

AC = AB + BC

48 = 2x + 2 + 3x + 6

48 = 5x + 8

48 - 8 = 5x

40 = 5x

40/5 = x

8 = x

Finding BC

BC = 3x + 6

BC = 3(8) + 6

BC = 24 + 6

BC = 30

Coordinate = -3 + 8 = 5

Reika [66]2 years ago

7 0

Answer:

BC = 30
5

Step-by-step explanation:

We know that adding AB and BC will give us AC so we can create an equation and solve for x.

2x + 2 + 3x + 6 = 48

~Combine like terms

5x + 8 = 48

~Subtract 8 to both sides

5x = 40

~Divide 5 to both sides

x = 8

Now that we know the value of x, we can solve for BC.

= 3(8) + 6

= 24 + 6

= 30

I would assume 8 is the length of EG so we would add that value to -3 and find where that would be at on the number.

-3 + 8 = 5

Best of Luck!

You might be interested in

If there are 3 people in a room, the probability that they all have the same birthday is

Nostrana [21]

There is .82% chance they will have the same bdays

7 0

3 years ago

A rope of length 18 feet is arranged in the shape of a sector of a circle with central angle O radians, as shown in the

creativ13 [48]

Answer:

$A(\theta)=\frac{162 \theta}{(\theta+2)^2}$

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Let

r ---> the radius of the sector

s ---> the arc length of sector

Find the radius r

we know that

$2r+s=18$

$s=r \theta$

$2r+r \theta=18$

solve for r

$r=\frac{18}{2+\theta}$

step 2

Find the value of s

$s=r \theta$

substitute the value of r

$s=\frac{18}{2+\theta}\theta$

step 3

we know that

The area of complete circle is equal to

$A=\pi r^{2}$

The complete circle subtends a central angle of 2π radians

using proportion find the area of the sector by a central angle of angle theta

Let

A ---> the area of sector with central angle theta

$\frac{\pi r^{2} }{2\pi}=\frac{A}{\theta} \\\\A=\frac{r^2\theta}{2}$

substitute the value of r

$A=\frac{(\frac{18}{2+\theta})^2\theta}{2}$

$A=\frac{162 \theta}{(\theta+2)^2}$

Convert to function notation

$A(\theta)=\frac{162 \theta}{(\theta+2)^2}$

6 0

3 years ago

tensa zangetsu [6.8K]

Answer:

literally at this point i think its (D)

Step-by-step explanation:

5 0

3 years ago

The actual distance between the two houses is 44.1ft. The contractor measures the distance as 46ft. Find the relative error of t

mixer [17]

The correct answer is: 44.1ft - 46ft = -1.9ft/44.1ft = .043% relative error. Please mark Brainliest if helpful

6 0

2 years ago

Does anyone know how to solve a system of linear equations using elimination? I am having a hard time on how to do it for differ

Mariana [72]

1. Multiply each equation so they end up with the same coefficient

2. Subtract your second equation from the first

3. Solve for one of the variables (I tend to solve an equation that only contains 2 variables if possible. So it would be if you have one question with x and y, solve for the easier one)

4. Substitute the variable you found in the least step into one of the other equations and find a second variable.

5. Substitute both variables you found into the last equation and there you should be left with x, y, and z :))

I hope this helped sksjsk if it didn’t I could write it out to hopefully help more :)

3 0

3 years ago