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Licemer1 [7]
3 years ago
7

Given a line segment that contains the points A,B, & C in order,if AB = 5x + 4, BC = 4x - 8, and AC = 23, find the length of

segment AB.
Select one:
a. 23
b. 9
c. 19
d. 3
Mathematics
1 answer:
Ivenika [448]3 years ago
3 0

Answer:

C

Step-by-step explanation:

AB + BC = AC , that is

5x + 4 + 4x - 8 = 23

9x - 4 = 23 ( add 4 to both sides )

9x = 27 ( divide both sides by 9 )

x = 3

Then

AB = 5x + 4 = 5(3) + 4 = 15 + 4 = 19 → C

You might be interested in
$200 in the ratio 1:2:2 working out
gtnhenbr [62]

Answer: 40:80:80

Step-by-step explanation:

The ratio is 1:2:2. This means, for every 5, the money is split in a ratio of 1:2:2. Let’s calculate how many 5s there are in 200. 200 / 5 = 40. So, the money will be split in 1:2:2 every 5 dollars 40 times.

Excellent. So, we can easily find out the ratio by multiplying the ratio 1:2:2 by 40. 1*40:2*40:2*40 = 40:80:80. Let’s add these up, and see if they result in 200. 40 + 80 + 80 = 200. So, our answer is correct.

Hope this helps!

4 0
3 years ago
The diameter of a human hair is 9 \cdot 10^{-5}9?10 ?5 9, dot, 10, start superscript, minus, 5, end superscript meters. The diam
pishuonlain [190]

Answer:

 8.7 \times 10^{-5}

Step-by-step explanation:

Given that the diameter of a human hair

Given that the diameter of a spider's silk

Now we have to find how much greater is the diameter of a human hair than the diameter of a spider's silk. To find that we just need to subtract the given numbers. Since powers are not same so let's make them equal now we can easily subtract the coefficients that is 3 from 9  = (90-3) \times 10^{-6}

= 87 \times 10^{-6}

= 8.7 \times 10^{-5}

8 0
4 years ago
What is the equation of the line that goes through (-3,-1) and (3,3)?
Monica [59]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 3, - 1) and (x₂, y₂ ) = (3, 3)

m = \frac{3+1}{3+3} = \frac{4}{6} = \frac{2}{3}, thus

y = \frac{2}{3} x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (3, 3), then

3 = 2 + c ⇒ c = 3 - 2 = 1

y = \frac{2}{3} x + 1 ← equation of line

Multiply through by 3

3y = 2x + 3 ( subtract 3y from both sides )

0 = 2x - 3y + 3 ( subtract 3 from both sides )

- 3 = 2x - 3y, that is

2x - 3y = - 3 ← in standard form

8 0
4 years ago
Read 2 more answers
How many 0.35 L glasses can you fill with a 1.65 L bottle of water
ycow [4]

Answer:

<h3>4.71 glasses </h3>

<u>Steps:</u>

Let say you can fill N no of 0.35 L glasses with 1.65 L.

<em><u>Then</u></em><em><u>,</u></em>

N times 0.35 =1.65

N × 0.35=1.65

N=1.65/0.35

N=4.71

It means you can fill 4 glasses completely and 71% of the 5th glass.

7 0
4 years ago
El valor que falta en la ecuacion 3+×=10
grandymaker [24]
3 + x = 10
x = 10 -3
x = 7
5 0
3 years ago
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