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
alina1380 [7]
3 years ago
11

Triangle A B C is cut by line segment M N. Line segment M N goes from side A B to side B C. The length of M N is 9 feet. The len

gths of B M and M A are 4 feet. The lengths of B N and N C are 3 feet. What is the length of Line segment A C? 3 ft 4 ft 9 ft 18 ft
Mathematics
2 answers:
katrin [286]3 years ago
7 0

Answer:

The length of AC is 18 feet ⇒ 4th answer

Step-by-step explanation:

* Lets revise an important theorem for a triangle

- <em>If a line segment joining the mid-points of two sides of a triangle, </em>

<em>   then this line segment is parallel to the third side of the triangle and</em>

<em>   equal half its length</em>

<em></em>

* Lets use this theorem to solve the problem

- In Δ ABC

∵ Line MN intersects the sides AB at M

∵ MA = MB

∴ M is the mid point of the side AB

∵ Line MN intersects the sides BC at N

∵ NC = NB

∴ N is the mid point of the side BC

- <em>By using the theorem above</em>

  In Δ ABC

∵ M is the mid-point of AB

∵ N is the mid-point of BC

∴ MN // AC

∴ MN = \frac{1}{2} AC

∵ The length of MN = 9 feet

∵ MN = \frac{1}{2} AC

∴ 9 = \frac{1}{2} AC

- Multiply both sides by 2

∴ AC = 18 feet

* The length of AC is 18 feet

Sliva [168]3 years ago
5 0

Answer:

The length of AC is 18 feet ⇒ 4th answer

Step-by-step explanation:

faldjflkdnflkabslk

You might be interested in
Y=2x+7 <br><br> 3x-y=-9<br><br> Solve each system of equation by the substitution method.
givi [52]
Plug in the first equation into the he second equation

3x-(2x+7)=-9
3x-2x-7=-9
x-7=-9
x=-2

plug in x=-2 into the first equation

y=2(-2)+7
y=-4+7
y=3

answer: (-2,3)
4 0
2 years ago
Read 2 more answers
A man bought a car for Gh55,000.00 and sold it for Gh65,000.00. Find the percentage gain.
IgorLugansk [536]

Answer:

18.18%

Step-by-step explanation:

(65000-55000)/55000×100

5 0
2 years ago
Why is 3 + (−5) equal to −2?
algol13
Because it is 5 units to the left of 3 on a horizontal number line
4 0
3 years ago
Which sum of difference is equivalent to the following expression? 5-3x/5
Aleks04 [339]

Answer:

1-3x/5

Give me brainiest

Step-by-step explanation:

7 0
2 years ago
Type the integer that makes the following subtraction sentence true for brainliest!!
Ksju [112]

Answer:59

Step-by-step explanation:

negative minus negative = positive

5 0
3 years ago
Read 2 more answers
Other questions:
  • Please help will give brainliest. Drag each label to the correct location on the image. Each label can be used more than once, b
    6·2 answers
  • There are 1,500 students in a school. 65% of them are girls. How many girls are there in the school?
    14·1 answer
  • 36. What is 110% of 400?*<br> O 44<br> O 440<br> O 44,000<br> 4,400
    5·1 answer
  • Which equation could be used to solve the following system?
    6·2 answers
  • forty percent of the first 20 whole numbers are prime. how many of the first 20 whole numbers are prime​
    5·1 answer
  • The segments shown below could form a triangle 6 5 12
    14·1 answer
  • Equation A: 3 + 5 = 8
    5·2 answers
  • PLSSSS HELPPPPPP I WIIILLLL GIVEEE BRAINLIEST!!!!!! PLSSSS HELPPPPPP I WIIILLLL GIVEEE BRAINLIEST!!!!!!
    14·1 answer
  • I need help with this please
    7·2 answers
  • One year, the closest the moon got to Earth was 372,835 kilometers.
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!