Find the length of BC.

Mathematics

2 answers:

gavmur [86]3 years ago

8 0

Answer:

B) 8

Step-by-step explanation:

The Segment Addition Postulate basically states that the sum of the segments of a line will equal the length of the entire line.

Thus, AB+BC=AC, and we can substitute:

AB+BC=AC

(4x+8)+(3x-4)=32

4x+8+3x-4=32

7x+4=32

7x=28

x=4

Now that we have x, we can plug it in for segment BC:

BC=3x-4

3(4)-4

12-4

Therefore, choice B is correct

Umnica [9.8K]3 years ago

3 0

Answer:

BC = 8

Step-by-step explanation:

AB + BC = AC

4x + 8 + 3x - 4 = 32

7x + 4 = 32

7x = 32 - 4

7x = 28

x = 28/7

x = 4

BC = 3x - 4 = 3*4 - 4 = 12 - 4 = 8

You might be interested in

What number should be placed in the box to help complete the division calculation? (1 point) Long division setup showing an inco

Gnoma [55]

Answer:

The answer is 299

Step-by-step explanation:

4 0

3 years ago

The perimeter of a rectangle garden is 48 feet. The length is 5 times the width.

VARVARA [1.3K]

I'll draw a diagram for you, so that it's easier to understand.
First you have to understand that the perimeter is all the sides add up together.

Let's set up an equation, using l for the length, and w for the width.

5w + w = 48
Simplify
6w = 48
Divide by 6 on both sides
w = 8

Now the value we got is actually both widths (the green sides), so the width is actually 4. Which means that the length is 20.

The answer is 4ft by 20 ft.

Hopefully this helps! If you have any more questions or don't understand, feel free to DM me, and I'll get back to you ASAP! :)