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
zlopas [31]
3 years ago
13

Point B is on line segment AC. Given AB = 4x – 6, AC = 2x + 10, and

Mathematics
1 answer:
Leya [2.2K]3 years ago
7 0

Answer:

AC=22

Step-by-step explanation:

If point B in somewhere along a segment between the points A and C, then it means that AB + BC = AC.

A---------------------------------C

A------------B-------------------C

     AB      +        BC       = AC

This means that we can write an equation:

4x-6(AB) + 4(BC) = 2x+10 (AC)

Which we can now solve for x:

(4x-6)+4=2x+10

Take out of brackets:

4x-6+4=2x+10

Combine like terms:

4x-2=2x+10

Move x terms to one side and other terms to the other:

4x-2x=10+2

Combine:

2x=12

Solve:

x=6

Now we can just substitute the x into the original AC equation to find its numerical length:

AC=2x+10

AC=2(6)+10

AC=12+10

AC=22

Hope this helped!

You might be interested in
What is the length of segment QR? (Show all work)
vazorg [7]
So if QR and PQ are the same ( which they are bc the angles and other sides are the same) 3n-1= 5n-7 so -1= 2n -7 so 6 = 2n so n = 3 then QR is 5n -7 so 5 x 3 is 15-7 is 8 so the answer is 8. Hope this helps :)
3 0
3 years ago
22-28d = - 12 ??? geometry is hard
yarga [219]
There's not much you can or should do here other than to "solve for d."

Subtract 22 from both sides.  Then 22 - 22 - 28d = -12 - 22 = -34

Then -28d = -34, and d = -28 / (-34) = + 14/17 (answer)
3 0
3 years ago
Help me pleaseeeeeeeeeeee
forsale [732]
Your answer is A. 
5.3 is less than or equal to 5.3 
0 is less then or equal to 5.3 
and -8.59 is less then or equal to 5.3 
so a is the only answer that is higher than 5.3
5 0
2 years ago
Mr. Carter is making a dessert using 9/10 pound of peach and 5/10 pound of raspberries. How much more peaches than raspberries i
-Dominant- [34]
Answer: 4/10
Explanation: 9/10 - 5/10 = 4/10
The denominator is already both 10 so u can subtract the numerator without worry
8 0
2 years ago
Angles 1 and 2 or complementary. If <1 measures 29.6°, then what is the measure of <2?
Sever21 [200]
Complementary angles add up to 90 degrees so if one is 29.6 degrees you subtract 29.6 from 90 so the answer is 60.4 degrees.
8 0
3 years ago
Other questions:
  • F = {(1, 4), (2, 3), (5, 8), (4, 7)}<br> F-1 is a function.<br> True<br> False
    11·1 answer
  • (x+2)*2=2, x=? I need help
    15·2 answers
  • HELP PICTURE IS SHOWN
    11·1 answer
  • Find the value of X in that isosceles triangle shown below
    8·1 answer
  • :).....................;(
    9·2 answers
  • Expand and simplify<br>2(2y + 1) + 2(5y - 3)​
    11·1 answer
  • Express 3/5 as a decimal
    10·1 answer
  • 4 corners again<br> -9a + 3b - a + 7b - 13 + a - 10<br> Sorry for the questions pls help
    12·2 answers
  • A man has 13 of a kilogram of chocolate. He shares it equally amongst 4 people. How many kilograms does each person get? Input y
    5·2 answers
  • Using the equation x = x_0 + vt, where x_0 = 7.8, v = 4.1, and x =-9.8, what is the value of t?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!