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
Verdich [7]
3 years ago
15

M∠HGF=16x+4, m∠EGF=110 degrees, and m∠HGE=3x+11. Find x.

Mathematics
2 answers:
zloy xaker [14]3 years ago
5 0

Answer:  The required value of x is 9.

Step-by-step explanation:  We are given the following :

m\angle HGF=16x+4,~~~m\angle EGF=110^\circ~~~\textup{and}~~~m\angle HGE=3x+11.

We are to find the value of x.

From the figure, we note that

m\angle HGF=m\angle EGF+m\angle HGE\\\\\Rightarrow 16x+4=110+(3x+11)\\\\\Rightarrow 16x+4=3x+121\\\\\Rightarrow 16x-3x=121-4\\\\\Rightarrow 13x=117\\\\\Rightarrow x=\dfrac{117}{13}\\\\\Rightarrow x=9.

Thus, the required value of x is 9.

Rasek [7]3 years ago
3 0
I hope this helps you




16x+4=110+3x+11


13x=117


x=9
You might be interested in
PLEASE ANSWER FAST THIS IS DUE IN 10 MINUTES
Elena-2011 [213]

The expressions that are equal to 61 are

  • |−61|
  • The distance from zero to −61
  • −(−61)
  • The opposite of −61

<h3>How to determine the expressions?</h3>

The value of the expression is given as:

Value = 61

Next, we evaluate the options:

<u>Option 1: |−61| </u>

The expression is given as:

Expression = |-61|

Remove the absolute sign

Expression = 61

Hence, |-61| equals 61

<u>Option 2: The distance from zero to −61 </u>

This is represented as:

Distance = |-61 - 0|

Evaluate the difference

Distance = |-61|

Remove the absolute sign

Distance = 61

Hence, the distance from zero to −61 is 61

<u>Option 3: The opposite of 61 </u>

The opposite of 61 is represented as:

Opposite = -(61)

Evaluate

Opposite = -61

Hence, the opposite of 61 is -61

<u>Option 4:−(−61) </u>

The expression is given as:

Expression = -(-61)

Remove the bracket

Expression = 61

Hence, -(-61) equals 61

<u>Option 5: the opposite of −61</u>

The opposite of -61 is represented as:

Opposite = -(-61)

Evaluate

Opposite = 61

Hence, the opposite of -61 is 61

<u>Option 6: −|−61| </u>

The expression is given as:

Expression = -|-61|

Remove the absolute sign

Expression = -61

Hence, -|-61| equals -61

<u>Option 6: −|61| </u>

The expression is given as:

Expression = -|61|

Remove the absolute sign

Expression = -61

Hence, -|61| equals -61

Read more about expressions at:

brainly.com/question/723406

#SPJ1

7 0
2 years ago
Tony's friends ate 0.6 of the appetizers he made which point on the number line best represents 0.6?
Ilya [14]

Answer:whichever # is closest to 0.6 round up to 1 or 60%

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
What is the equation in point-slope form of a line that passes through the points (-4, -1) and (5, 7)?
Setler [38]

Answer:

y + 1 = 8/9(x +4)

Step-by-step explanation:

Find the slope: [7- (-1)]/ [5 - (-4)] = 8/9

Using (-4, -1)

y-(-1) = 8/9[x- (-4)]

y + 1 = 8/9(x +4)

6 0
3 years ago
Please help me out with this problem!!!
Ronch [10]

Answer:

y = 3x - 2

Step-by-step explanation:

The equation is linear and expressed in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

Given (0, - 2 ) then c = - 2

Calculate the multiplier using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (1,1) ← 2 ordered pairs from the table

m = \frac{1+2}{1-0} = 3, hence

y = 3x - 2 ← equation relating x and y

6 0
3 years ago
A Complete the table. What pattern(s) do you see in the Total bacteria column?
Oxana [17]

Answer:

4 then 6 then 8

Step-by-step explanation:

2×2=4

2×3=6

2×4=8

6 0
2 years ago
Other questions:
  • Doris uses 8square pieces of fabric to make one scarf. Each side of a square piece of fabric is 1/4 foot in length. Doris can bu
    9·1 answer
  • How do i find the area of this?
    10·1 answer
  • The triangular prism shown has triangular _____face(s) and lateral face(s).
    7·1 answer
  • Mark, Carrie, Max, and Jane are doing a probability experiment in math class. They flip a coin 200 times and record their result
    13·1 answer
  • you begin playing a new game called hooville. You are King of Hooville, a city of owls that is located in the treetops near Ford
    7·1 answer
  • What is the decimal equivalent to 6/11
    13·2 answers
  • An equation for the depreciation of a car is given by y = A(1 – r)t , where y = current value of the car, A = original cost, r =
    5·2 answers
  • Solve using the quadratic formula.
    10·1 answer
  • Jodie ran at an average speed of 8 km/h for 45 minutes.<br> How far did she run in km?
    15·1 answer
  • Fill in the green box.<br> Z<br> 4<br> x = [?] √?<br> Enter
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!