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
mojhsa [17]
2 years ago
13

In the diagram below find the measure of each of the three angles and then state which two are complementary and which two are a

supplementary pair. Answer question 1 and two.

Mathematics
1 answer:
tresset_1 [31]2 years ago
7 0

1) ∠C and ∠G are supplementary while ∠A and ∠G are complementary.

2) Yes, ∠D is supplementary to ∠GAH

This is based on understanding complementary and supplementary angles.

By definition, complementary angles are two angles whose sum is equal to 90°. Meanwhile supplementary angles are those whose sum is equal to 180°.

  • 1) From the angles drawn, we can see that ∠A and ∠G are less than 90° while ∠C is greater than 90° but less than 180°.

From inspection, ∠A looks same angle with ∠G. But, for them to be complementary they have to add up to 90°. Thus;

∠A + ∠G = 90°

Since ∠A = ∠G, then ∠A = ∠G = 90/2 = 45°

Now, ∠C appears to be the remaining part of ∠G to complete a straight line.

We know that sum of angles on a straight line is 180°

Thus;

∠C + ∠G = 180°

∠C + 45° = 180°

∠C = 180° - 45°

∠C = 135°

Thus, ∠C and ∠G are supplementary while ∠A and ∠G are complementary.

  • 2) We see that  ∠D = 63°

For ∠D to be supplementary to ∠GAH, it means that ∠GAH must be 180° - 63° = 117°

By inspection, it looks permissible.

Thus, ∠D is supplementary to ∠GAH

Read more at; brainly.com/question/4853862

You might be interested in
Find the equation (in terms of x) of the line through the points (-2,1) and(2,9)<br> Y=
I am Lyosha [343]

Answer:

2

Step-by-step explanation:

gradient =y² -y¹ /x²-x¹

=9-1/2--2

=8/4

=2

5 0
2 years ago
Read 2 more answers
Add [1/5x-4+2y]+[2/5x+5-4y]=
alisha [4.7K]
<h3>I'll teach you how to solve (1/5x-4+2y)+(2/5x+5-4y)</h3>

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

(1/5x-4+2y)+(2/5x+5-4y)

Remove parentheses:

1/5x-4+2y + 2/5x+5-4y

Group like terms:

1/5x+2/5x+2y-4y-4+5

Add similar elements:

3/5x+2y-4y-4+5

Add similar elements:

3/5x-2y-4+5

Multiply:

3x/5-2y-4+5

Add subtract the numbers:

3x/5+1-2y

Your Answer Is 3x/5+1-2y

plz mark me as brainliest :)

6 0
3 years ago
F(x) = x+3
Ksivusya [100]

Answer:

I got 2x^3+3x^2-4x-12

Step-by-step explanation:

I hope this helps a little bit

3 0
1 year ago
Three rock climbers started a climb with each person carrying 7.8 kilograms of climbing equipment. A fourth climber with no equi
d1i1m1o1n [39]
5.85 kilograms a person
8 0
3 years ago
What is the mean of Variable A? Express answer to one decimal place. Scatter plot on a first quadrant coordinate grid. The horiz
ivanzaharov [21]
Variable A is x. Variable B is y. (x,y)

2 , 2, 4, 5, 6, 7, 8, 9

Mean is computed by adding all the numbers in the data set and dividing it by its count.

2 + 2 + 4 + 5 + 6 + 7 + 8 + 9 = 43

43 / 8 = 5.375 rounded to 5.4
4 0
3 years ago
Other questions:
  • What is the greatest common factor for 12&amp;15
    10·1 answer
  • Please help solve -2|5y-1|=-10
    11·1 answer
  • (6 Çarin has made a vase in clay that she will burn in an oven. The oven is heated with the vase in. When heating, the temperatu
    13·1 answer
  • The centroid of a triangle is found by constructing the _____.
    6·2 answers
  • Which of the following triangles is not an obtuse triangle?
    12·1 answer
  • Let f be the function given by f(x) = x +<br> Vx+1<br> X - 1<br> Find and simplify f(5).
    8·1 answer
  • Does anyone know the answer by any chance?
    15·1 answer
  • Asociologist is studying influences on family size. He finds pairs of sisters, both of whom are married, and determines for each
    10·1 answer
  • Determine whether quadrilateral EFGH is similar to quadrilateral QRST. If so, give the similarity statement. (ASAP PLS HELP!! no
    12·1 answer
  • The volume of a cube is 1000 blocks. What is the length of one side of the cube?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!