Find the value of x if A, B, and C are collinear points and B is between A and C. AB=6x,BC=x−5,AC=23

Answers

Answer 1

Answer:

The value of x = 4 if A, B, and C are collinear points and B is between A and C.

Step-by-step explanation:

We need to find  the value of x if A, B, and C are collinear points and B is between A and C.

We have AB=6x,BC=x−5,AC=23

If points are collinear and B is between A and C we can write:

AC=AB+BC

Putting values and finding value of x

[tex]AC = AB+BC\\23=6x+x-5\\23=7x-5\\7x=23+5\\7x=28\\x=\frac{28}{7}\\x=4[/tex]

The value of x = 4 if A, B, and C are collinear points and B is between A and C.


Related Questions

please help with this :(

Answers

Answer: -m^4

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

-1 x -1 x -1 = 1

Jada has a coin jar containing n nickels and d dimes worth a total of $3.65. The
equation 0.05n + 0.1d = 3.65 is one way to represent this situation.
Which equation is equivalent to the equation 0.05n +0.1d = 3.657

Answers

Answer:5n+10d=365.7 pennies

Step-by-step explanation:

Pls help on #10 will give brainliest

Answers

The answer is A hope this helps

7.4 divided by 92.5 will have the same quotient as 74 divided by 925?

Answers

Yes because in it's the same variable do it will give the same answer

1.6[7-4m]=30
2.[5+6a]-3=8

Answers

Answer:

(a,m=(-1499/1812, 1/2)

Step-by-step explanation:

hope this helps!

An air conditioning system can circulate 420 cubic feet of air per minute. How many cubic yards of air can it circulate per​ minute?

Answers

Answer:

15.5556 cubic yards

Step-by-step explanation:

A yard is equal to three feet.  Divide the volume value by 27 (3 cubed).

(PLEASE HELP ASAP)
A plumber has a 12-foot piece of pipe. He needs 8 feet, 6 inches of pipe to repair a leak in a water line. How many inches of pipe will he have left after he makes the repair?

Answers

There will be 42 inches left

Answer:

3ft 6in or 42 inches in total

Step-by-step explanation:

hope this helps

. A cell phone company has three different production sites. Five percent of the cars from Site 1, 7% from Site 2, and 9% from Site 3 have been recalled due to unexpected shutdown issue. Suppose that 60% of the phones are produced at Site 1, 30% at Site 2, and 10% at Site 3. If a randomly selected cell phone has been recalled, what is the probability that it came from Site 3 (write it up to second decimal place)

Answers

Answer:

0.15 = 15% probability that it came from Site 3

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Being recalled

Event B: Recalled from site 3.

Probability of being recalled:

5% of 60%(from site 1)

7% of 30%(from site 2)

9% of 10%(from site 3).

So

[tex]P(A) = 0.05*0.6 + 0.07*0.3 + 0.09*0.1 = 0.06[/tex]

Probability of being recalled, being from site 3.

9% of 10%.

[tex]P(A \cap B) = 0.09*0.1 = 0.009[/tex]

If a randomly selected cell phone has been recalled, what is the probability that it came from Site 3?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.009}{0.06} = 0.15[/tex]

0.15 = 15% probability that it came from Site 3

1. If you make 8 1/5 cookies in 1/4 of an hour, how many cookies can you make in one hour? Find
the unit rate.

Answers

Answer:

32.8

Step-by-step explanation:

you divide 8 1/5 by 1/4 to find the unit rate.

Solve 4(5x+2)=14x+32

Answers

Answer:

x=4

Step-by-step explanation:

4(5x+2)=14x+32

20x+8 = 14x+32

20x-14x+8=14x-14x +32 (Both side +14x)

6x+8=32 (cancel 14x -14x)

6x+8-8=32 -8(both side -8)

6x=24 (both side divide 6)

6x/6=24/6

x=4

Answer:

34x+34

Step-by-step

20x+2=14x+32

20x+14x=2+32

34x+2+32

2+32=34

34x=34

Please help. I dont understand how to do this. Enter the coordinates of the vertices of (Ry-axis ∘ r(90°, O))(QRST).

Answers

Answer:

I think it's

Q = ( 1 , 3 )

R = ( 3 , 3 )

S = ( 0 , 2 )

T = ( -2 , 1 )

Step-by-step explanation:

please tell me if this is wrong.

Hope this helps!

What numbers are a distance of 12 unit from 35 on a number line?


Select the locations on the number line to plot the points.

30 points

Answers

Answer:

The numbers are 1/10 & 11/10

Answer:

yes means yes

Step-by-step explanation:

3/8 × 4/11 =
three eighths times four elevenths

Answers

Answer:

12/88, which is 3/22 in simplest form.

Answer:

12/88 Simplified:3/22

Step-by-step explanation:

you just multiply the numerator but the numerator and then denominator but the denominator. Then you just simplify

Hope that helps:)

13
5
ө
12
What is the length of the side opposite to angle θ

Answers

Answer: Sin θ =

Step-by-step explanation:

In the figure attached, ABC is a right angle triangle.

Sides of this triangle are AB = 12 BC = 5 and CA = 13

Angle opposite to the side having length = 12 is θ.

Now we have to calculate sin θ.

Since Sinθ =

=

Therefore, ratio which represents sinθ will be

Step-by-step explanation:

3. There are 2 girls and 3 boys on a camping trip. What is the ratio of girls to boys on the trip? Choose all that apply. 2:3 2 to 5 2:5 2 to 3

Answers

Answer:

2:3

Step-by-step explanation:

5 in total as you subtract the dudes

The distance between -18 and 15 is equal to ______.
A. 18 - 15
B. 15 - 18
C. -18 - 15
D. 15 - (-18)

Answers

Answer:

It would be equal to 15 - (18)

Answer:

it would actually be (B)

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