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
A cube has side lengths of 4 in.
exis [7]

Answer:

64in3

Step-by-step explanation:

V= 64in3

7 0
3 years ago
Read 2 more answers
P(A)=25,P(B|A)=920,P(A∩B)=?
larisa [96]
Hi! Let me help you!
This problem is a Venn Diagram question. It is much easier to answer this question with the visual it usually comes with. However, we can employ logic to give this one a smart and logical answer.

What we have so far:
P(A) =  25. This means that the shaded area of A is equal to 25.
P(B/A) = 920. This means that area A subtracted 25 to the value of area B which resulted to 920.
P(B) = 945. How did I arrive with 945? Simple, I just added 25 to 920. Go and be a smart lad and find why I did that.

Solution:
Solving P(A∩B) is quite challenging because like I said, a visual is needed for us to give it a pefect answer. Employing logic and using what we have so far:

If P(A∩B) means A and B intersection, we can assume that it is simply as A + B. 

If that is the case, then we can simply pull out our P(A) and P(B), 25 and 945 respectively and add them:

P(A) + P(B) = P(A∩B)
P(A∩B) =  25 + 945
P(A∩B) = 970 <----- What we are looking for

Therefore, P(A∩B) = 970!
4 0
3 years ago
6x + 39 (if x = 10)..
jekas [21]

Answer:

3(2x+13) or 99

Step-by-step explanation:

Factor 6x+39

6x+39

=3(2x+13)/ 99

Answer:

3(2x+13) or 99

3 0
3 years ago
Read 2 more answers
Help please im loss
Masja [62]
C option is more reliable for measurement.
5 0
3 years ago
Find the sum of (x+5), (-4x-2), and (2x-1)<br><br> Show your work please
Papessa [141]
Sum means add
(x+5) + (-4x-2) + (2x-1)
=-3x+3+(2x-1)
=-x+2
7 0
3 years ago
Read 2 more answers
Other questions:
  • Can someone pleaseeee help me with this?? I sort of understand, but every time I think I have it, I something confuses me. So ca
    8·1 answer
  • The 70th term of an arithmatic sequence is 121.5 the common difference is 1.5. Find a12. (write a rule to find a12)
    12·2 answers
  • I need help plz help me solve the pics
    5·2 answers
  • There is a population of 50,000 bacteria in a colony. If the number of bacteria doubles every
    8·1 answer
  • A class of 24 students share 8 pizzas equally. What fraction of a does each student get?
    5·1 answer
  • Mrs. Barritz is packing food bags for the
    9·2 answers
  • PLEASE HELP! GIVING OUT BRAINLIEST
    6·1 answer
  • Madi bought 10 quarts of ice cream how many gallons and quarts of ice cream did Madi buy explain how you found your answer
    12·1 answer
  • Which amount is larger and by how much?
    5·2 answers
  • How do you write 2500 in scientific notation
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!