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
alexandr1967 [171]
3 years ago
6

F is between E and G. EF=3X, EG= 11x-2, FG= 5x+16. Find the value of the variable

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
3 0

9514 1404 393

Answer:

  x = 6

Step-by-step explanation:

The sum of segments is used:

  EF +FG = EG

  3x +(5x +16) = 11x -2 . . . . substitute given expressions

  8x +18 = 11x . . . . . . . . add 2

  18 = 3x . . . . . . . . subtract 8x

  6 = x . . . . . . divide by 3

The value of the variable is 6.

__

<em>Check</em>

The segment lengths are ...

  EF = 3x = 3·6 = 18

  FG = 5x+16 = 5·6 +16 = 46

  EG = 11x -2 = 11·6 -2 = 64 = 18+46 . . . answer is correct

You might be interested in
Pls answer fast. sydni's....
raketka [301]

Answer:

1 in =4 ft

Step-by-step explanation:

Divide 32by 8 and 40 by 10

5 0
3 years ago
Read 2 more answers
Madison has set up a lemonade stand outside her house and sells small cups and large cups of lemonade. Each small cup holds 12 o
Troyanec [42]

Answer:

12x+22(y+10)=1240, y=x

small cups=30

large cups=40

Step-by-step explanation:

let x be the number of small cups and y the number of large cups.

-Given that 10 more cups than small cups of lemonade were sold:

12x+22(y+10)=1240

#Before the 10 more were sold, the number of x and y sold were equal>

x=y\\\\\therefore 12x+22(x+10)=1240\\\\12x+22x+220=1240\\\\34x=1240-220\\\\34x=1020\\\\x=30

The number of small cups sold was 30

#Since, the number of large cups was 10 more, y=x+10=30+10=40

7 0
3 years ago
Read 2 more answers
How do you The the answer of equation of the boundary line &amp; to write the inequality whose graph is shown? How do you work i
Firlakuza [10]
This is the equation
y =  - 1x





good luck
3 0
3 years ago
You are comparing to wireless services. Verizon changes $35 a month and $5 per gigabyte of data.
ikadub [295]
A) Gigabytes = x
B) 35+5x = 25+10x
10 = 5x
2 = x
C) After 2 gigabytes, the wireless services will cost the same ($45)
7 0
3 years ago
The sum of three consecutive odd numbers is 69. What is the biggest number?
ohaa [14]

Answer:

25 is the answer

Step-by-step explanation:

21 23 25

6 0
3 years ago
Other questions:
  • Pls help with this question. I will give brainliest answer :)
    7·2 answers
  • Two students are to be selected at random from a class with 10 girls and 12 boys. what is the probability that both will be girl
    14·1 answer
  • Shayna enlarged a square photo by adding 10 inches to each side so it could be seen on a large poster. The area of the enlarged
    13·2 answers
  • What percent of 60 is 20
    13·1 answer
  • What additional information is needed to prove PMO is congruent to PNO by the HL Theorem?
    15·1 answer
  • What does the inequality x + 3 ≤ 2 say? A number and three is at most two. A number and three is less than two. A number and thr
    5·2 answers
  • Can you help me solve this equation plzzz ? <br> 5/6x+7=12-5/12x
    7·1 answer
  • Heng was trying to factor 10x² + 5x. She found that the greatest common factor of these terms was 5%
    13·1 answer
  • Show all work to identify the asymptotes and zero of the function f of x equals 6 x over quantity x squared minus 36.
    13·1 answer
  • Can you do this because it is confusion the thing is y=mx+c
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!