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
astra-53 [7]
3 years ago
8

In the diagram below of triangle EFG, H is a midpoint of EF and J is a midpoint

Mathematics
1 answer:
Korolek [52]3 years ago
8 0

Answer:

14

Step-by-step explanation:  2(4x+6)=

\,\,34-3x

34−3x

Since HJ is a midsegment, twice HJ is equal to EG.

8x+12=

8x+12=

\,\,34-3x

34−3x

Distribute.

8x+12=

8x+12=

\,\,-3x+34

−3x+34

Communicative property to change the order

\color{red}{+3x}\phantom{+12}\phantom{=}

+3x+12=

\,\,\color{red}{+3x}\phantom{+34}

+3x+34

+3x to both sides.

11x+12=

11x+12=

\,\,34

34

\phantom{11x}\color{red}{-12}\phantom{=}

11x−12=

\,\,\color{red}{-12}

−12

-12 to both sides.

11x=

11x=

\,\,22

22

\frac{11x}{11}=

11

11x

​  

=

\,\,\frac{22}{11}

11

22

​  

 

Divide both sides by 11

x=

x=

\,\,2

2

Value of x

HJ=

HJ=

\,\,4x+6

4x+6

Value of HJ

HJ=

HJ=

\,\,4(2)+6

4(2)+6

Plug in x.

HJ=

HJ=

\,\,8+6

8+6

Multiply.

HJ=

HJ=

\,\,14

14

You might be interested in
The admission prices for a small fair are $1.50 for children and $4.00 for adults. In one day there was $5050 collected. If we k
aliina [53]

Answer: 475 adults paid admission

Step-by-step explanation:

1.50c+4a=5050 (1.50 per child and 4 per adult)

1.50(2100)+4c=5050 (2100 children times 1.5 each)

3130+4a=5050

4a=1900

a=475

3 0
3 years ago
A line passes through the point (5,-11) and has a slope of -2 Find an equation of this line.
Vsevolod [243]

Formula: y = mx + b

m being the slope

Slope given: -2, plug it in

Y = -2x + b

Now find y intercept (b)

Plug in the point (5,-11)

-11 = -2(5) + b

-11 = -10 + b, b = -1

Solution: y = -2x -1

5 0
3 years ago
(-3+-2^2) + -(4*2) / 2
ozzi

Answer:

-3

Step-by-step explanation:

2^2 = 4

4 + (-3) = 1

4*2 = 8

8 * -1 = -8

-8 / 2 = -4

1 + -4 = -3

5 0
3 years ago
Find the value of x that will make A||B.<br> 5x + 9<br> A<br> B<br> 6x-2<br> X =<br> [?]<br> Enter
givi [52]

Answer:

x = 11

Step-by-step explanation:

Given

Parallel lines A and B

Required

Find x

For A and B to be parallel, then 5x + 9 and 6x - 2 are alternate interior angles

And alternate interior angles are always equal

This means that

5x + 9 = 6x - 2

Collect like terms

5x - 6x = -2 -9

-x = -11

Multiply both sides by -1

-1 * -x = -11 * -1

x = 11

4 0
3 years ago
Read 2 more answers
How many dogs are there in the world?
AleksandrR [38]

Answer:

900 million.

Step-by-step explanation:

It's estimated that there are 900 million dogs in the world, as of 2018.

7 0
3 years ago
Read 2 more answers
Other questions:
  • The number of VHS movie rentals has declined since the year 2000 due to the popularity of DVDs, as the following table shows. Us
    11·2 answers
  • Which is the solution to the inequality?<br><br> 1/4 + x &lt; 5/8
    7·1 answer
  • PLEASE HELP! THANKS!
    11·2 answers
  • VX<br> What is the area of the parallelogram?<br> 18 cm<br> 28 cm. <br> 36 cm<br> 45 cm
    13·1 answer
  • What is 7/8 as a percent
    13·2 answers
  • noise in a quiet room is 500 times for as intense as the threshold of sound. what is the decibel measurement for the quiet room?
    9·1 answer
  • What is the slope of the line that passes through the points (1,-6) and (-8,9)?
    11·1 answer
  • RS=6y+2, ST=3y+7 and RT=54
    9·1 answer
  • Consider functions f and g.<br><br><br><br> Which expression is equal to f(x) ⋅ g(x) ?
    9·1 answer
  • What is the surface area of a cube that has edges 3 cm long
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!