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
Musya8 [376]
3 years ago
13

Given that LM is a midsegment of IJK, find JK. A. 7 B. 8 C. 14 D. 16

Mathematics
2 answers:
Leno4ka [110]3 years ago
8 0

Answer: Option D. 16

Solution:

If LM is a midsegment of IJK, it is joining the midpoint of the sides IJ and IK, and it's half the length of the base of the triangle (JK), then:

L is the midpoint of the side IJ, and divides it into two congruent parts:

IL=LJ

Replacing IL by 7x and LJ by 3x+4:

7x=3x+4

Solving for x: Subtracting 3x both sides of the equation:

7x-3x=3x+4-3x

Subtracting:

4x=4

Dividing both sides of the equation by 4:

4x/4=4/4

Dividing:

x=1

Then we can determine the length of LM:

LM=2x+6

Replacing x by 1 in the equation above:

LM=2(1)+6

LM=2+6

LM=8

and because LM is half the length of the base of the triangle (JK)

LM=(1/2) JK

Replacing LM by 8:

8=(1/2) JK

Multiplying both sides of the equation by 2:

2(8)=2(1/2) JK

16=(2/2) JK

16=(1) JK

16=JK

JK=16

Ad libitum [116K]3 years ago
7 0

<u>Answer:</u>

16

<u>Step-by-step explanation:</u>

We know that segment LM is the mid-segment of the triangle IJK which means ILM is half the size of IJK.

So, IL = LJ.

We know that IL = 7x and LJ = 3x+4 so putting these values equal to each to find the value of x:

7x = 3x + 4

7x - 3x = 4

x =4/4

x = 1

Now, if x = 1, then the segment LM will be:

2x + 6 = 2(1) + 6 = 8

If LM is half the length of JK, then JK is two times the length og LM.

Therefore, JK = 2 * 8 = 16.

You might be interested in
Write the equivalent expression to the sum of the expressions 3a2 + 3a and -3a - 3a2
ASHA 777 [7]

Answer:

3 {a}^{2}  + 3a  + (- 3 {a}^{2}  - 3a) \\  = 3 {a}^{2}  - 3 {a}^{2}  + 3a - 3a \\  = 0 \\ thank \: you

7 0
2 years ago
What are the solutions of 5x+23&gt;2x−4​?
zhuklara [117]

Answer:

answer :

x >  - 9

solution:

step 1 :

5x  - 2x >  - 4 - 23

step 2 :

3x >  - 27

step 3 :

x >  \frac{ - 27}{3}

final step :

x >  - 9

4 0
2 years ago
PLEASE ANSWER!!!!!!!
Temka [501]

Answer:

C

Step-by-step explanation:

because the limo charges 30 and 4 per person and the person is x . The other limo automatically charges 70 plus 2 per person which is x hence 30+4x=70+2x

3 0
2 years ago
Read 2 more answers
Sea f(x)=x²+x+1
Mkey [24]

Answer:

6

Step-by-step explanation:

la respuesta es una imagen de arriba

mi explicación también está en la imagen de arriba

llama mi atención si no entiendes

6 0
3 years ago
The base radius of a cone is 8 mm, and it’s volume is 320mm. What is its height ?
nexus9112 [7]
The height is around 4.77 mm
6 0
3 years ago
Other questions:
  • The Friendly Sausage Factory (FSF) can produce hot dogs at a rate of 5,500 per day. FSF supplies hot dogs to local restaurants a
    5·1 answer
  • Help please !!!!!!!!!!!!!!!!!!!!!
    6·1 answer
  • Mr hernandez has 100 to spend on parking and admisson to the zoo the parking will cost 7 dollars and admission tickets will cost
    12·1 answer
  • Beth bought 3 pairs of earrings for $4.50 each and 2 bracelets for $5.00 each. She gave the clerk $25.00. How much change did Be
    14·1 answer
  • Drag each tile to the correct box. Not all tiles will be used.
    10·1 answer
  • Alita is on the track team and loves to run. On
    7·1 answer
  • (04.02)
    11·1 answer
  • RADICALS <br><br> simplify square root 40<br><br> NEED HELP ASAP!!!
    5·2 answers
  • What does the picture represent?
    9·2 answers
  • Pls help due tomorrow
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!