1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Olenka [21]
3 years ago
15

In segment AC, the midpoint is B. If segments AC = 5x-9 and AB = 2x, what is the measure of segment AC.

Mathematics
1 answer:
IgorLugansk [536]3 years ago
8 0

Answer:

The measure of segment AC is 36 units

Step-by-step explanation:

- The mid-point divides the segment into two equal parts in length

- B is the mid point of segment AC

- That means B divides segment AC into two equal parts in length

∴ AB = BC

∵ AC = 5x - 9

∵ AB = 2x

- The two parts AB and BC are equal in length

∴ BC = 2x

∵ AC = AB + BC

- Substitute the values of AB and BC in the expression of AC

∴ AC = 2x + 2x

∴ AC = 4x

∵ AC = 5x - 9

- Equate the two values of AC

∴ 5x - 9 = 4x

- Add 9 to both sides

∴ 5x = 4x + 9

- Subtract 4x from both sides

∴ x = 9

- Substitute the value of x in any expression of AC

∵ AC = 4x

∵ x = 9

∴ AC = 4(9) = 36

* The measure of segment AC is 36 units

You might be interested in
If you graph 2y+8=6x^2-10x what will be the y intercept?
Rufina [12.5K]

Answer:

Y intercept will be -4.

Step-by-step explanation:

Here we are given our function as

2y+8=6x^2-10x

We are asked to determine the y intercept.

The y intercept is the y ordinate of the coordinates of the point at which the graph of the function intersects the y axis.

Please note that the point at which graph cuts the y axis have x=0

Hence in order to determine y intercept we need to put x=0 in our function and solve it for y :

2y+8=6x^2-10x2y+8=6x^2-10x

Putting x =0

2y+8=6x^2-10x2y+8=6(0)^2-10(0)

2y+8=6x^2-10x2y+8=0-10(0)

2y+8=6x^2-10x2y+8=0

subtracting both sides by 8

2y+8=6x^2-10x2y=-8

dividing both sides by 2

=-4

8 0
3 years ago
Is 24/8 a rational number
blsea [12.9K]

Answer:

Yes

Step-by-step explanation:

A rational number is a number that could be written in fraction form or ratio.

3 0
3 years ago
The following expressions are factorizations of 60. Which is the prime factorization?​
Sholpan [36]

Answer:

U

Step-by-step explanation:

You dont help people you give bs answers

5 0
3 years ago
How can you use the backward problem-solving strategy to solve a two-step equation
neonofarm [45]
Let's use the equation 5x - 20 = 10 as an example for this.

To work backwards from this, you would add the same amount to each side.

You want to isolate the 5x so that you can solve for x.

To do that, you would add 20.

But again, you must add and subtract the same amount to both sides.

So it would look a bit like this:

5x - 20 + 20 = 10 + 20

That would simplify to 5x = 30, or in other words, x = 6.

Basically, you isolate the multiple of the variable then divide the answer to the equation from that multiple.

In the example, 5 is the multiple and after isolating it, the answer was 30.

30 ÷ 5 = 6

x = 6

Hope this helps :)
5 0
3 years ago
Is 1 5/8 greater than, less than, or equal to 1.6?​
tigry1 [53]

Answer:

1 \frac{5}{8}  > 1.6

Step-by-step explanation:

1 \frac{5}{8}  \: ... \: 1.6

\frac{1 \times 8 + 5}{8}   \: ... \: 1.6

\frac{8 + 5}{8}  \: ... \: 1.6

\frac{13}{8}  \: ... \: 1.6

\frac{13}{8}  \: ... \:  \frac{16}{10}

\frac{13 \times 5}{8 \times 5}  \: ... \:  \frac{16 \times 4}{10 \times 4}

\frac{65}{40}  \: ... \:  \frac{64}{40}

\frac{65}{40}  >  \frac{64}{40}

#IfWrongPleaseReport

#StudyTogetherWithMe

#ILoveMath

8 0
3 years ago
Other questions:
  • Difference between 1 8/10 and 2 2/5
    9·1 answer
  • Janet weighs 20 pounds more than Anna. If the sum of their weights is 250 pounds, how much does each girl weigh?
    8·2 answers
  • Simplify this expression
    6·1 answer
  • Solve the inequality: -1+4y < 31
    9·2 answers
  • Trisha has $22.50 to spend at the movies . Her ticket is $11.50, and she gets a large popcorn and soda. If the popcorn and soda
    12·2 answers
  • Math help will mark brainliest
    9·1 answer
  • Please explain your answer as well. THX!!
    10·2 answers
  • A rectangular prism is shown below. What is the lateral surface area?
    11·2 answers
  • CAN SOMEONE HELP MEEEEE
    15·2 answers
  • Angle 3 is a complement of angle 4, and m angle 3 = 46°<br> find m angle 4°
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!