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
Irina18 [472]
2 years ago
6

11) MZHGF = 16x + 4, m EGF = 110°, and MZHGE = 3x + 11. Find x. G H F E

Mathematics
2 answers:
Darya [45]2 years ago
6 0
<h3>Answer:  x = 9</h3>

=======================================================

Explanation:

The smaller angles HGE and EGF combine to form the largest angle HGF.

This is an example of the angle addition postulate.

(angle HGE) + (angle EGF) = angle HGF

(3x+11) + (110) = 16x+4

3x+121 = 16x+4

121-4 = 16x-3x

117 = 13x

13x = 117

x = 117/13

x = 9 which is the final answer

We can stop here.

--------------------

Extra info (optional section)

Use this x value to find each angle shown below

  • angle HGE = 3x+11 = 3*9+11 = 27+11 = 38 degrees
  • angle HGF = 16x+4 = 16*9+4 = 144+4 = 148 degrees

Then notice how,

(angle HGE)+(angle EGF) = 38+110 = 148

which is exactly the measure of angle HGF

This confirms that the equation

(angle HGE) + (angle EGF) = angle HGF

is true for that x value of x = 9. Therefore, the answer is confirmed.

PIT_PIT [208]2 years ago
3 0

9514 1404 393

Answer:

  11) x = 9°

  13) x = -12°

Step-by-step explanation:

11) ∠HGE +∠EGF = ∠HGF

  (3x +11) +(110°) = (16x +4)

  117° = 13x . . . . . . . . . . . . . . . subtract 3x+4, collect terms

  9° = x . . . . . . . . . . . . divide by 13

__

13) ∠BCF +∠FCD = ∠BCD

  (x +78) +(x +41) = 95°

  2x = -24°

  x = -12°

You might be interested in
Jorge wants to buy new vinyl flooring for his kitchen. The kitchen floor is 12 feet by 15 feet. How many square yards is the flo
adoni [48]

Answer:

180 square yards

Step-by-step explanation:

5 0
3 years ago
The line through (0, 2) and (2,6)
tiny-mole [99]
The slope of the line is 2 if that is what you're looking for
6 0
2 years ago
Write 34 13/20 as a decimal please help!
Alex777 [14]
The fraction part of a mixed numeral is added to the whole number.

Use a calculator to divide 13/20.
13/20 = 0.65

34 13/20 = 34 + 13/20 = 34 + 0.65 = 34.65
6 0
3 years ago
Read 2 more answers
What is the number in the middle of -7 and 6
Anon25 [30]

Answer:

-0.5

Step-by-step explanation:

Use the average formula:

Sum of all numbers/Number of items

6 + (-7) / 2

= -1/2

So, the number in the middle of -7 and 6 is -0.5

6 0
3 years ago
Read 2 more answers
Express -32/243 into power notation​
lesya692 [45]

This problem can take a while if you cannot observer the answer quickly.

First of all we can see that 32=2*2*2*2*2=2^5

243, if you don't know its actually is 3^5

Now we can see that this turns into...

- 2^5/3^5

since the 5th power doesn't change the sign of the original number, we can put the negative in the ( ), if you don't know what I mean look below

(-3)^2=9 Positive

(-3)^3=-27 Negative since its to the odd power it keeps the sign.

This problem can be simplified to.

(-2/3)^5

And this is the answer :D

If you have any questions just put them in the comments.

4 0
3 years ago
Other questions:
  • The surface area of a square pyramid is 136 square inches. The base length is 4 inches. What is the slant height? please help!
    5·1 answer
  • 0.6 is 10 times as much as what
    14·2 answers
  • What is the reflection of -3,3 over the y axis
    10·1 answer
  • Your friend approaches with three, fair 5-sided dice (labeled 1 to 5). You get to roll them and your friend gives you money base
    6·1 answer
  • Which expression is equivalent to square root -108 - square root -3?
    13·1 answer
  • PLEASE HELP ASAP!!!!!!!
    9·1 answer
  • Help me with this please everyone
    5·2 answers
  • Which pair of numbers are not opposites?
    7·2 answers
  • Find the LCM of ;<br>(1+4x+4x2-16x) and (1+2x-8x3-16x4)​
    12·1 answer
  • Congruent triangles:
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!