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
lina2011 [118]
3 years ago
14

3. If mZEFH = (5x + 1), mZHFG = 62°, and mZEFG = (18x + 11), find each measure.

Mathematics
1 answer:
arsen [322]3 years ago
8 0

Answer/Step-by-step explanation:

Given:

m<EFH = (5x + 1)°

m<HFG = 62°

m<EFG = (18x + 11)°

Required:

1. Value of x

2. m<EFH

3. m<EFG

SOLUTION:

1. Value of x

m<EFH + m<HFG = m<EFG (angle addition postulate)

(5x + 1) + 62 = (18x + 11)

Solve for x using this equation

5x + 1 + 62 = 18x + 11

5x + 63 = 18x + 11

Subtract 18x from both sides

5x + 63 - 18x = 18x + 11 - 18x

-13x + 63 = 11

Subtract 63 from both sides

-13x + 63 - 63 = 11 - 63

-13x = -52

Divide both sides by -13

-13x/-13 = -52/-13

x = 4

2. m<EFH = 5x + 1

Plug in the value of x

m<EFH = 5(4) + 1 = 20 + 1 = 21°

3. m<EFG = 18x + 11

m<EFG = 18(4) + 11 = 72 + 11 = 83°

You might be interested in
Use the drop-down menus to complete each question so the statement about its solution is true.​
spin [16.1K]

Step-by-step explanation:

• no solution:

3x+9+4x+x = 8x + 9

• one solution:

3x+9+4x+x = 7x + 11

• infinitely many solutions:

3x+9+4x+x = 8x + 11

4 0
3 years ago
If $5000 was invested at a rate of 5%, how many years would it take to triple if it is compounded daily
maw [93]

Answer:

If your money earns a 5 percent interest rate, it will triple in 23 years (115 divided by 5 equals 23).

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
How many 1/8 portions are in 3/4
Zigmanuir [339]
1/4 = 2/8
3/4 = 6/8
2/8 * 3/1 = 6/8
1/4 * 3/1 = 3/4
6  1/8 portions are in 3/4
5 0
3 years ago
Solve for x.<br>A. x =9<br>B. x = 3<br>C. x = 4<br>D. x = 27
meriva
Your formula for this is 9^{2} =x(24+x) and 81=24x+ x^{2}.  Get everything on one side of the equals sign, set it equal to 0 and factor.  When you do this you get (x-3)(x+27). The Zero Product Property rule tells us that either x-3 = 0 or x+27 = 0 and that x = 3 and -27.  The only thing in math that will NEVER be negative besides time is distance/length, therefore, x cannot be 27 and has to be 3.
8 0
3 years ago
please help! and don’t just guess and comment an answer , please show work that you actually did it &lt;3
yan [13]
It’s B because 2 quarts equal 0.5 gallons
4 0
3 years ago
Other questions:
  • PLEASE PLEASE ANSWER
    13·2 answers
  • Shanna attends school for 1 week longer than 3/4 of yhe year. How many weeks in a year does shanna attend school
    13·1 answer
  • The graph below have the same shape. what is the equation of the blue graph?​
    6·1 answer
  • Add (-2x + 4) + (4x + 6)
    9·1 answer
  • What is supplementary to &lt;7 ??
    9·1 answer
  • Compare the following to the parent function. Select all that apply.
    7·1 answer
  • Given that <br> y<br> = 8 cm and <br> θ<br> = 34°, work out <br> x<br> rounded to 1 DP.
    15·1 answer
  • In the Accompanying diagram of circle O, chords AB and CD intersect at E, mAC=50 and mBD =150. Find m
    7·1 answer
  • Can someone help me ?
    7·2 answers
  • What’s the greatest common factor
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!