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
Vinvika [58]
3 years ago
7

Please help with this math problem!!! 25 points

Mathematics
2 answers:
ohaa [14]3 years ago
8 0
<span>By Triangle-Angle-Bisector Theorem, 
8:12=(x+4):(2x+1)

</span>(x+4):(2x+1)=2:3
3(x+4)=2(2x+1)
3x+12=4x+2
x=10


Sedbober [7]3 years ago
6 0

Answer:

10

Step-by-step explanation:

The triangle angle bisector theorem states that an angle bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle.

This means the proportion of the two given sides of ABC, 8/12, is the same as the proportion of the segments that make up BC, (x+4)/(2x+1).  This gives us the proportion

8/12 = (x+4)/(2x+1)

Cross multiplying,

8(2x+1) = 12(x+4)

Using the distributive property,

8(2x)+8(1) = 12(x)+12(4)

16x+8 = 12x+48

Subtract 12x from each side:

16x+8-12x = 12x+48-12x

4x+8 = 48

Subtract 8 from each side:

4x+8-8 = 48-8

4x = 40

Divide both sides by 4:

4x/4 = 40/4

x = 10

You might be interested in
Which of the models represents cars as 37 1/2 of the total vehicles?
Aleonysh [2.5K]

Answer:from my understanding it should be D I would wait for someone else to answer just in case I’m wrong.

7 0
3 years ago
On his drive from Montpelier, Vermont, to Columbia, South Carolina, Arthur averaged 51 mph. If he had been able to average 60 mp
Llana [10]

Answer:

Distance between Montpelier and Columbia is 1020

Step-by-step explanation:

51 mi/hr average:

d = 51 t  

60 mi/hr average:

d t = 60*(t-3)

Substitute (1) into (2)  

   51 t =  60*(t-3)

   51 t =  60 t + 180

   9 t  =  180

   t    =   20

d = 51 t

   = 51 (20)

   = 1020

let see distance is 1020 lets check

51 t = 60 * (t-3)

51 (20)= 60* (20-3)

1020   = 60*17

1020 = 1020

4 0
3 years ago
HELP ME! FAST! Please help me! ASAP! PLEASE! SOMEONE HELP ME!
Harrizon [31]
I hope this helps you

5 0
3 years ago
Estimate 1.133+7.684+4.718
avanturin [10]

Answer:

1.133 is about 1, 7.684 is about 8, and 4.718 is about 5. Thus, 1 + 8 + 5 = about 14.

6 0
3 years ago
Read 2 more answers
Water is being drained at a constant rate from a tank.
saw5 [17]

Answer:

Step-by-step explanation:

1000 gallons - 940 = 60 then divide by the time which gets us 60/10=6

Now we can use this answer to help find out the amount remaining in the tank.

5 minutes = 5x6=30; 1000-30= 970 gallons

20 minutes= 20x6=120; 1000-120= 880 gallons

30 minutes=30x6=180; 1000-180= 820 gallons

27 minutes=27x6=162; 1000-162= 838 gallons

X minutes = 1000-6x

Rate of flow is 6 gallons per minute.

Hope this helps!

3 0
3 years ago
Other questions:
  • Help with these two please
    13·2 answers
  • There are 38 pockets on an american roulette wheel: 18 red, 18 black, and 2 green. if you were to randomly spin an american roul
    15·1 answer
  • The employees at the zoo gift shop earn commission for every stuffed animal they sell. An employee sold $880 worth of merchandis
    9·2 answers
  • If the interval (a, infinity) describes all values of x for which the graph of f(x)=4/x^2-6x+9 is decreasing, what is the value
    14·2 answers
  • The half life of Pb-210 is 22 years. A decayed animal shows 16% of the original Pb-210 remains; how long has the animal been dec
    7·1 answer
  • What is the standard form of the number shown in the calculator display? 3.82e+7
    13·1 answer
  • SOLVE: 18x+103x-3x<br> ill give brainliest
    8·1 answer
  • 3 cm<br> 4 cm<br> 6 cm<br> Find the volume. Round to the nearest tenth if necessary.
    14·2 answers
  • After multiplying, a calculator screen displays the answer shown below. How would you write this number in standard form? Enter
    15·1 answer
  • A restaurant serves custom-made omelets, where guests select meat, cheese, and vegetables to be added to their omelet. There are
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!