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
Leona [35]
3 years ago
5

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

Mathematics
1 answer:
bogdanovich [222]3 years ago
8 0
If B is the midpoint of AC, that means the the line segments connecting the endpoints to the midpoints are the same length, or: AB = BC. With that in mind, we can set their lengths equal to each other:

x + 5 = 2x - 11

From there, simply solve for x and input that result back into the expression for AB (x + 5) and you’ll have your result.
You might be interested in
How do you identify the information that is given to you that you dont need for solving a problem?
Alborosie
When reading a question, you need to be aware of the numbers presented and the facts. You need to pay attention to the question - what, when, where, how, why or how much. What is being asked in the question is always your clue. Unnecessary information will be eliminated once you understand the question.

Simple example from a Business book:

Jessica Fernandez, manager of Subway, had a bank balance of $5382.12 on March 1. During March, she deposited $60,375.82 received from sales, $3280.18 received as credits from suppliers, and $75.53 as a county tax refund. She paid out $27,282.75 to suppliers, $4280.83 for rent and utilities, and $12,252.23 for salaries and miscellaneous. How much did Fernandez deposit in March?

Answer:
$60,375.82 (sales) + $3280.18 (credits) + $75.53 (refund) = $63,731.53
Fernandez deposit $63,731.53 in March.

The question immediately lead you to the sentence that is the key to the answer.
It is pretty obvious but try to recognize the important facts from the rest.
The question did not ask about Jessica's balance on March 1 or did not ask about how much she pay out. You can immediately eliminate that those information are not necessary to the problem being asked. The question is how much did she deposit in March. You need to find the sentence that points out the answer - During March, she deposited $60,375.82 received from sales, $3280.18 received as credits from suppliers, and $75.53 as a county tax refund. List all the numbers and add them together and you will come up with the figures she deposited. It is just a simple question but it presented the technique for the elimination process of unnecessary facts. It is not "we cannot see the answer" but the truth is we cannot see and understand the question.
8 0
3 years ago
Line segment YV of rectangle YVWX measures 24 units.
oksian1 [2.3K]

Answer: YX=13.85\ units

Step-by-step explanation:

<h3> The complete exercise is: "Line segment YV of rectangle YVWX measures 24 units. What is the length of line segment YX?"</h3><h3> The missing figure is attached.</h3>

Since the figure is a rectangle, you know that:

WV=YX\\\\YV=XW=24

Notice that the segment YV divides the rectangle into two equal Right triangles.

Knowing the above, you can use the following Trigonometric Identity:

tan\alpha =\frac{opposite}{adjacent}

You can identify that:

\alpha =30\°\\\\opposite=YX\\\\adjacent=YV=24

Therefore, in order to find the length of the segment YX, you must substitute values into  tan\alpha =\frac{opposite}{adjacent} and then you must solve for YX.

You get that this is:

tan(30\°)=\frac{YX}{24}\\\\(24)(tan(30\°))=YX\\\\YX=13.85

7 0
3 years ago
Read 2 more answers
Which expression represents the distance between 4.7 and −11.2 on the number line?
Cerrena [4.2K]

Answer:

4.7 - ( -11.2)

Step-by-step explanation:

4.7 - ( - 11.2) = 15.9  

15.9 is the distance between 4.7 and -11.2

Hopefully this helps you

pls mark brainlest

3 0
3 years ago
What is the constant in this algebraic expression? 7d+2 I need help
snow_lady [41]
It is 2 because no variable
6 0
3 years ago
Can someone please answer my unanswered question on my profile please I will give brainliest
Alborosie

I will help u if u need it

7 0
3 years ago
Read 2 more answers
Other questions:
  • 1 QUESTIONS BRAINLIESTTTTT ASAP!<br> EXPERTS!!
    12·1 answer
  • List all the numbers between 20 and 30 that are prime
    12·2 answers
  • Math ..................
    14·2 answers
  • Determine what type of model best fits the given situation: The height of a tree increases by 2.5 feet each growing season. A. l
    14·2 answers
  • An airport limousine can accommodate up to four passengers on any one trip. The company will accept a maximum of six reservation
    5·1 answer
  • How much compound interest will $50,000 earn in 10 years at 3.4% APR compounded yearly, providing no deposits or withdrawals are
    11·1 answer
  • PLEASE HELP ME THIS IS DUE TODAY AND I WILL MARK BRAINLEST.
    13·1 answer
  • Question: In Boston, Massachusetts, there is a 60% probability of rain on a specific day. How was this probability most likely d
    12·1 answer
  • Be confident and be paitent to help people tahnky ou
    11·1 answer
  • Solve the absolute value inequality.<br><br> |2x - 3| &gt; 7
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!