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
11Alexandr11 [23.1K]
3 years ago
14

Use Vocabulary in Writing

Mathematics
1 answer:
NARA [144]3 years ago
8 0

x° = 43°

Solution:

The lines AD, BE and CF are intersecting lines.

Given m∠AGF = 47°, m∠BGC = 90°, m∠DGE = x°.

To find the value of x°:

Line BE and line CF intersect at the vertex G.

∠BGC and ∠FGE are vertical angles.

<u>Vertical angle theorem:</u>

If two angles are vertically opposite then they are congruent.

By vertical angle theorem, ∠BGC ≅ ∠FGE

⇒ m∠FGE = 90°

Sum of the angles in a straight line = 180°

In line AD,

m∠AGF + m∠FGE + m∠DGE = 180°

⇒ 47° + 90° + m∠DGE = 180°

⇒ 137° + m∠DGE = 180°

⇒ m∠DGE = 180° – 137°

⇒ m∠DGE = 43°

⇒ x° = 43°

Hence the value of x° is 43°.

You might be interested in
This graph displays a linear function. What is the rate of change?
ivolga24 [154]

Answer:

5/1 or 5

Step-by-step explanation: You find two points that the line goes on. So in this it would be 1,1 for the first one, the second one is 2,4. Then you go from the first point up or down to get to the same level at the second point. Then you go over to the left or right to meet the second point, in this graph you will go up 5 times to get to the same level. Then over 1 time to get to the point. Then you divide the rise over the run the rise is 5 and the run is 1, so you would do 5 divided by 1 and the answer of that is 5.

Hope this helps you in the future

                                                            Smiles,  MysticCryptic (Aka) Jordan

8 0
3 years ago
A town population of children increased from 367 to 421 during the past year which equation showes how to find the percentage in
klemol [59]

Answer:

5.7%

Step-by-step explanation:

421-367=24

24/421x100=5.7%

6 0
2 years ago
Multiply. Express your answer in simplest form. 5/8, 24
musickatia [10]
A number without denominator such is equal to number with denominator 1.
So, 24 is equal to 24/1


5/8 x 24

= 5/8 x 24/1

= (5x24) / (8x1)

= 120/8


= 15
8 0
3 years ago
Read 2 more answers
What are some examples of how you have used, or could use, algebraic equations to solve problems in your everyday life?
pshichka [43]
We use algebraic equations in our daily lives without knowing it. For example, when we go shopping, calculate grocery expenses, or even fill our gas tanks, we are using equations. Let's say we needed to fill our gas tank, but we only had $15.00 to do so. If the price of gas is $3.00 per gallon, how many gallons could we buy? We use the simply algebraic equation of \frac{x}{y} to calculate the total gallons that can be bought. x = the money we have. y = price per gallon of gas. \frac{15}{3} = 5. So with $15.00, we can buy 5 gallons of gas; and that is just one example of using an algebraic equation in everyday life!
3 0
3 years ago
A neighbor farmer had some chickens. She had 24 feet of wire fencing to
Paraphin [41]

Answer:

A rectangle is defined by its length = L, and its width = W.

So the perimeter of the of the rectangle can be written as:

Perimeter = 2*L + 2*W.

In this case, we want to leave the perimeter fixed, so we have:

24ft = 2*L + 2*W.

Now, we do not have any other restrictions, so to know the different dimensions now we can write this as a function, by isolating one of the variables.

2*L = 24ft - 2*W

L = 12ft - W.

or:

L(W) = 12ft - W.

Such that:

W must be greater than zero (because we can not have negative or zero width).

And W must be smaller than 12ft (because in that case we would have zero or negative length)

Then the possible different dimensions are given by:

L(W) = 12ft - W

0ft < W < 12ft.

8 0
3 years ago
Other questions:
  • Whats l00.53 rounded to the nearest hundrednth
    6·1 answer
  • you are to draw two graphs of lines. one line needs to have a slope of 2/3. and the second line needs to have a slope of -4
    8·1 answer
  • Someone plzzz help this is due in 3 hours !!!
    8·1 answer
  • Write 2,795,080,000 in word form.
    11·2 answers
  • Find the quotient. 6.345÷0.09
    8·2 answers
  • Use the unit circle to find the value of tan (-180°).
    14·1 answer
  • Please answer
    15·1 answer
  • Find a line perpendicular to y=5/12+3 that passes through the point (3,-12)
    12·1 answer
  • what are the coordinates of a point on the directed line segment from (5,9) to (8,-6) that partitions the segment into a ratio o
    6·1 answer
  • Write an expression for "777 times rrr."
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!