The degree measure of one of two complementary angles is twice that of the other. What is one of the degree measures of the angles?
A.) 30 degrees
B.)40 degrees
C.)45 degrees
D.)27 degree

Answers

Answer 1

Answer:

30°  is one of the degree measures of the angles.

Hence, option (A) is true.

Step-by-step explanation:

Let 'x' be the degree measure of the first angle.

Given that the degree measure of one of two complementary angles is twice that of the other.

Thus, the other angle = 2x

Complementary angles

We know that two angles are termed as complementary angles when the sum of their measured angles is 90°.

Thus the equation becomes

x + 2x = 90°

3x =  90°

Divide both equations by 3

3x/3 = 90°/3

x = 30°

Therefore, 30°  is one of the degree measures of the angles.

Hence, option (A) is true.

Answer 2
Question :

The degree measure of one of two complementary angles is twice that of the other. What is one of the degree measures of the angles?

Answer :

A.) 30 degrees

Solution :

Let one angle = x

According to statement,

Another angle = 2 × first angle

[tex] \sf : \implies Another \: angle = 2x[/tex]

Now, we know that sum of complementary angles is 90°

Hence,

[tex] \sf : \implies x + 2x = 90^{\circ}[/tex]

[tex] \sf : \implies 3x = 90^{\circ}[/tex]

[tex] \sf : \implies x = \dfrac{\cancel{90}^{\circ}}{\cancel{3}}[/tex]

[tex] \sf : \implies x = 30^{\circ}[/tex]

[tex] \Large \underline{\boxed{\sf{ x = 30^{\circ} }}}[/tex]

Therefore, one of the angle is 30°.

Another angle = 2 × 30° = 60°


Related Questions

HELP ME PLZ

A figure is shown in the image. What is the measure of the
highlighted angle?
А. 30
В. 60
С. 120
D. 65

Answers

Answer:

c is the correct answer i my guest

c is the answer to the question

Which of the following is equal to 16.4 ?
O A. 32
O B. V16.4
O c.
D. 64

Answers

Answer:

b?

Step-by-step explanation:

b= v16.4

If you have 54/4 how does it equal 13.5

Answers

Simplifying
54 * 4 = 13.5

Multiply 54 * 4
216 = 13.5

Solving
216 = 13.5

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

Answer:

I don't like mathematics

can someone help please​

Answers

I’d say the letter b

A 350-seat movie theater charges $10.50 admission for adults and $7.50 for children. If the theater is full and $3411 is collected, how many adults and how many children are in the audience (Note: You may use any method to solve the problem.)

Answers

Answer:

Hence 262 adults and 88chidren are in the audience

Step-by-step explanation:

Let the number adults be x

Let the number of children be y

If there are 350seats in the theatre then;

x+y =350 .... 1

Also if $10.50was charged for adults and $7.50 for children with total amount of $3411, then;

10.50x + 7.50 y = 3411..... 2

Solve simultaneously

From 1, x = 350-y

Substitute into 2:

10.50(350-y) +7.50y = 3411

3675-10.5y+7.50y = 3412

3675-3y = 3411

-3y = 3411-3675

-3y = -264

y = 264/3

y = 88

From 3: x = 350-y

x = 350-88

x = 262

Hence 262 adults and 88chidren are in the audience

Find the circumference of the circle. Round your answer to the nearest hundredth. Use 3.14 or 227 for π.


There's a picture of a circle with the radius of 21 cm

Picture of the circle:

Answers

Answer:

65.94cm

Step-by-step explanation:

The two equivalent equations to find the circumference of a circle are:

Circumference = 2 * pi * radius

Circumference = pi * diameter

Since the diameter of the circle is given, in order to find circumference, plug in 21cm into the 2nd equation:

Circumference = pi * diameter = pi * 21 cm = 3.14 * 21 = 65.94 cm

what's 2+2-2-4+77 and what is the square root of the sum

Answers

Answer:

simplified it is 75 the square root of 75 is 8.66025403784

Step-by-step explanation:

X + 7/8 = 23/8

Please help

Answers

Answer:

x=2

Hope I helped

Answer:

X=2

Step-by-step explanation:

Please mark brainliest.

Create the f(x) function based on the table. Answer should be in function notation

Answers

Answer:

It will be

f(x)=x+4

Which of the following functions is non-linear?
A.y = 2x +1
B.2x- 2y=14
C.(x+2)² = 6
D.y=7

Answers

The one that is non-linear is D
The answer is D. That is the non linear function!

The ratio of fifth graders to sixth graders is 4 to 5. If one of the grade totals is 160,
select the possible totals for the other grade.
200
160
40
32
128

Answers

Answer:

Hi how are you doing today Jasmine

Answer:

40 and 32 i think

Step-by-step explanation:

i did it and im pretty sure its 40 and 32

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