All categories

3 years ago

B is the midpoint of A . If AB = x+5 and BC =2x-11, find the measure of AB

Mathematics

1 answer:

nignag [31]3 years ago

6 0

If B is the midpoint of AC, then AB = BC.

We have AB = x + 5 and BC = 2x - 11.

Therefore we have the equation:

x + 5 = 2x - 11 <em>subtract 5 from both sides</em>

x = 2x - 16 <em>subtract 2x from both sides</em>

-x = -16 <em>change the signs</em>

x = 16

Put the value of x to the expression x + 5:

AB = 16 + 5 = 21

<h3>Answer: AB = 21</h3>

You might be interested in

Mohit pays rupees 9000 as an amount on the sum of rupees 7000 that he had borrowed for 2 years.

Sphinxa [80]

Answer:

The required rate of interest = 14.285%

Step-by-step explanation:

Here, The principal amount = 7,000

The final paid amount = 9,000

Time = 2 years

Let us assume the rate of interest = R

Now, Simple Interest = Amount - Principal

= 9,000 - 7,000 = 2,000

So, the SI on the given principal for 2 years = 2,000

$\textrm{SIMPLE INTEREST } = \frac{P \times R \times T}{100}\\\implies 2000 = \frac{7,000 \times R \times 2}{100}\\\implies R = \frac{2,000 \times 100}{7,000 \times 2} = 14.285$

or, R = 14.285%

Hence, the required rate of interest = 14.285%

8 0

3 years ago

Four-fifths of a spinach casserole is leftover after Sam has lunch. Jackie and Alicia each take 1/2 of the leftover casserole. J

Delvig [45]

Answer:legit?

Step-by-step explanation:legit?

3 0

3 years ago

The area of a circle is 529 inches. Find the radius.

ruslelena [56]

$\sqrt{529}$
square root it and divide by pi. square root of 529 is 23. then divided by pi (3.14) is 7.32.

6 0

3 years ago

Read 2 more answers

Scott grades 15 papers every 15 minutes. how many papers can scott grade in 130 mintues? round to the nearest tenth?

Alja [10]

Answer:

130 papers.

Step-by-step explanation:

1 min per paper therefore 130 mins = 130 papers

7 0

3 years ago

Read 2 more answers

What equation does the model represent

Olin [163]

5/6 im guessing ? Im pretty sure its 5:6

7 0

3 years ago