An angle is 2/3 of its complement what is its magnitude

Answers

Answer 1

Answer: 36°

Step-by-step explanation:

Two angles A and B are complementary if:

A + B = 90°.

In this case, we know that one angle is 2/3 of its complement.

Then we can write this as:

A = (2/3)*B

Now we can replace this in the equation ( A + B = 90°) and solve for B (remember that we want to find the value of A, the original angle):

(2/3)*B + B  =90°

(2/3)*B + (3/3)* = 90°

(5/3)*B = 90°

B = (3/5)*90° = 54°

And the other angle can be found with the equation (A = (2/3)*B)

then we get:

A = (2/3)*54° = 36°

The magnitude of the angle is 36°.


Related Questions

Please help me, I forgot how to do this):

Answers

Answer:

x = 8

Step-by-step explanation:

Recall that the interior angles of a triangle always add up to 180 degrees.

Therefore:  77 + 50 + 7X - 3 = 180, or:

                   77          + 7X - 3 = 130, or:

                                     7x      = 56

Dividing both sides by 7 yields x = 8

Please wil give brainliest

Answers

Answer:

c

Step-by-step explanation:

Triangle KLM was dilated with the origin as the center of dilation to create triangle K'L'M'.
Which‌ ‌rule‌ ‌best‌ ‌represents‌ ‌the‌ ‌dilation‌ ‌that‌ ‌was‌ ‌applied‌ ‌to‌ ‌triangle‌ ‌‌KLM‌ ‌‌to‌ ‌create‌ ‌triangle‌ K’L’M’‌‌ ‌?‌

A: (x, y) → (1.5x, 1.5y)

B: (x, y) → (1.5 + x, 1.5 + y)
C: (x, y) → (2.5 + x, 2.5 + y)
D: (x, y) → (2.5x, 2.5y)

Answers

Answer:Triangle KLM is dilated with the origin as the center of dilation to create triangle K′L′M'. Which rule best represents the dilation that has been applied to triangle ... A

Step-by-step explanation:

What is the greatest common factor of 32, 48, and 24?

Answers

Answer:

The GCF is 8

Step-by-step explanation:

8.

8x3 is 24

8x4 is 32

8x6 is 48

25 POINTS Classify each pair of numbered angles as corresponding, alternate interior, alternate exterior, or none of these.



Drag and drop the choices into the boxes to correctly complete the table.

Answers

Answer:

Corresponding: The top left, The bottom left

Alternate interior: Bottom right

Alternate exterior: Top middle

None of these: Top right

Step-by-step explanation:

Plot out (graph) the regions undefined by each of the following :

1.
[tex]y \leqslant 5,x - y \leqslant 1 \\ ,4x + 3y \geqslant 12[/tex]
2.
[tex] x \geqslant 0,y \geqslant 0 \\ ,x + y < 6,y - x < 2[/tex]

Answers

Answer:

See the attached

Step-by-step explanation:

Q1

y ≤ 5x - y ≤ 1 ⇒ y ≥ x - 1 (region A in the graph)4x + 3y ≥ 12 ⇒ y ≥ - 4/3x + 4 (region B in the graph)

Regions covered by each functions are shaded and the intersection also shaded and marked.

The white area in the graphs is the undefined region.

Q2

x ≥ 0, y ≥ 0 - these limit the region to the first quadrantx + y < 6 ⇒ y < -x + 6 (region A in the graph))y - x < 2 ⇒ y < x + 2 (region B in the graph)

Regions covered by each functions are shaded and the intersection also shaded and marked.

The white area in the graph is the undefined region.

If the measure of Angle F G H is 64 degrees and the measure of Angle E G D is (4 x + 8) degrees, what is the value of x? Lines E H and D F intersect at point G. 14 18 64 116

Answers

Answer:

14°

Step-by-step explanation:

Both angles are vertical angles and are opposite, hence, from angle theorem., vertically opposite angles are equal :

Angle EGD = Angle FGH

Angle EGD = (4x + 8)

Angle FGH = 64

HENCE,

4x + 8 = 64

4x = 64 - 8

4x = 56

x = 56/4

x = 14°

Answer:

A

Step-by-step explanation:

i hope this helps

A cylinder has a diameter of 6 cm and a height of 14 cm. What is the approximate volume of a cone with the same diameter and height
as the cylinder?

Answers

The approximate volume of a cone with the same diameter and height as the cylinder is 131.95 cm³.

How to calculate the volume of a cylinder?

In Mathematics and Geometry, the volume of a cylinder can be calculated by using this formula:

Volume of a cylinder, V = πr²h

Where:

V represents the volume of a cylinder.h represents the height of a cylinder.r represents the radius of a cylinder.

Radius = diameter/2 = 6/2 = 3 cm.

By substituting the given parameters into the volume of a cylinder formula, we have the following;

Volume of cylinder, V = π × 3² × 14

Volume of cylinder, V = π × 9 × 14

Volume of cylinder, V = 395.8 cm³.

For the volume of this cone, we have:

Volume of cone, V = 1/3 × πr²h

Volume of cone, V = 1/3 × 395.8

Volume of cone, V = 131.95 cm³.

Read more on cylinder here: brainly.com/question/14060443

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Alice received a 40% on her science test. Alice correctly answered 16 questions. How many questions were on the test.

Answers

Answer:

40 questions were on the test.

Step-by-step explanation:

40%=0.4

0.4x=16

x=16/0.4

x=40

8n - 2(n+5) = -3 + 6n

Answers

Answer:

No solution

Step-by-step explanation:

There are no values of  n  that make the equation true.

8n −2(n+5) = −3 + 6n

First Step: Simplify both sides of the equation

(Distribute) 8n + (-2)(n) + (-2)(5) = -3 + 62

8n + -2n + -10 = -3 + 6n

(Combine like terms) (8n + −2n) + (−10) = 6n − 3

6n + −10 = 6n − 3

6n  − 10 =  6n − 3

Step 2: Subtract 6n from both sides

6n − 10 − 6n = 6n − 3 − 6n

-10 = -3

Step 3: Add 10 to both sides

-10 + 10 = -3 + 10

0 = 7 (No Solution) (Answer)

can anyone help me with these questions?​

Answers

Answer:

21) 7(2x+3y)

22) 16(2x+3y)

21- A) 7(2x+3y)
22- A) 16(2x+3y)

if the female is 144 kg then what's her height?!?!?

Answers

Answer: sorry don't understand also don't use i-

Step-by-step explanation:

What is the measure of angle A in the triangle below?
•30°
•45°
•60°
•90°

Answers

Answer:

38.1

Step-by-step explanation:

Find the coordinates of the midpoint of
GH with endpoints G(-9, 3) and H(-2, 7).

Answers

════════ ∘◦❁◦∘ ════════

Answer = (5/2),(7/2)

════════════════════

Known

x1 = (-9)

y1 = 3

x2 = (-2)

y2 = 7

════════════════════

Question

Mid point = ..?

════════════════════

Way to do

#note that . in this equation is ,

[tex]mid \: poimt \: = ( \frac{y2 - y1}{2} ).( \frac{x2 - x1}{2} )[/tex]

[tex]mid \: poimt \: = ( \frac{7 - 3}{2} ).( \frac{( - 2) - ( - 9) }{2} ) [/tex]

[tex]mid \: poimt \: = ( \frac{5}{2} ).( \frac{7}{2} ) [/tex]

════════════════════

Over the period of a year, Julie's net worth decreased. Which of the following could be true?

A. Julie's assets and liabilities decreased by the same amount.
B. Julie's assets and liabilities increased by the same amount.
C. Julie's assets increased by more than her liabilities.
D. Julie's assets decreased by more than her liabilities.

Please select the best answer from the choices provided

А
B
С
D

Answers

B hope this helps!!!

all you need is in the photo

PLEASE DON'T DO STEP BY STEP


PUT ONLY THE ANSWER


PLEASEEEEEEEEEEEEEEEEEEEEE EEEEEEEÈ

aggravated​

Answers

Answer:

Step-by-step explanation:

-4 and 3

work out: C) 3/4 + 1/8=

Answers

Answer:

7/8

Step-by-step explanation:

3/4=6/8 6/8+1/8=7/8

Step-by-step explanation:

given

3/4 + 1/8

Taking LCM we get

= (3*2 + 1) / 8

= (6 + 1)/8

= 7/ 8

Hope it will help :)✔

You deposit $300 in an account. The account earns $54 simple interest in 4 years. What is the annual interest rate?

SHOW WORK ILL MARK BRAINLEST

Answers

Answer:

The annual simple interest is 4.5%

Step-by-step explanation:

54/4= 13.5

13.5/300= 0.045

The annual simple interest is 4.5%

What is interest?

Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan. This percentage is known as the interest rate on the loan.

Here, we have,

formula: I = Prt.

You deposit $300 in an account.

The account earns $54 simple interest in 4 years.

now, we have,

54/4= 13.5

then.

13.5/300= 0.045

i.e. 4.5%

Hence, The annual simple interest is 4.5%

To learn more on interest click:

brainly.com/question/29335425

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A square with unknown side length x has one side extended by 3 inches and the other side extended by 4 inches as shown. The area of the overall rectangle is 110 square inches. Write an equation that could be used to solve for x.​

Answers

Answer:

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

or x² + 7x + 12 = 110

Step-by-step explanation:

Use the properties of radicals to simplify the expression.
√2./72=0

Answers

Answer:

12

Step-by-step explanation:

Using the properties of radicals, you should multiply first the radicands which is 2 and 72 and arrived at 144.

[tex] \sqrt{2} \times \sqrt{72} = \sqrt{144} \\ \sqrt{144 } = 12 \ \\ [/tex]


Enter the value of the missing blank when the expression 15.9x +
is equivalent to 5.3(3x - 1.5)

Answers

Answer:

The answer is

[tex] - 7.95[/tex]

Step-by-step explanation:

[tex]15.9x + c = 5.3(3x - 1.5) \\ 15.9x + c = 1.9x - 7.95 \\ c = - 7.95[/tex]

Jack is buying fencing to surround his garden. If his garden has a perimeter of 42 feet, and fencing costs $5.00 a yard, how much money will he need for the fencing?

Answers

1 yard = 3 ft
42/3 = 14
14 x 5 =
You solve the rest


LOOK AT THE PICTURE PLEASE

I DONR HAVE ANY TIME LEFT
PLEASEEE

The profit P, in dollars, of selling x widgets and y gadgets is given by the
function P(x, y) = 7x+8y. Which corner point of the shaded region will
maximize the profit?

Answers

Options

(0, 35)

(10, 30)

(15, 25)

(20, 15)

Answer:

(C) (15,25)

Step-by-step explanation:

The profit p in dollars of selling x widgets and y gadgets is given by the function p(x,y)=7x+6y.

Option A

When x=0 and y=35

p(x,y)=7(0)+6(35)

p(x,y)=210

Option B

When x=10 and y=30

p(x,y)=7(10)+6(30)

p(x,y)=250

Option C

When x=15 and y=25

p(x,y)=7(15)+6(25)

p(x,y)=$255

Option D

When x=20 and y=15

p(x,y)=7(20)+6(15)

p(x,y)=$230

We observe that the point (15, 25) in Option C yields the highest profit ($255). Therefore, it is the point that maximizes profit.

Answer:

10,30

Step-by-step explanation:

APE-

-3x – (-2 – 4x)
help

Answers

Answer:

=x+2

Here is the answer

Step-by-step explanation:

The answer is X+2 If you’re trying to simplify it

(x+30)+2x supplementary angle

Answers

Answer:

ATQ,

50 degree is the answer

Step-by-step explanation:

x+30+2x = 180

3x =180-30

3x = 150

x =150/3

x = 50

The dimensions of a lawn shaped like a trapezoid are given in meters. What is the area of the lawn in square meters?

Answers

Answer:

60m^2

Step-by-step explanation:

good luck, and can you try to help me wit my question please? thanks.

Answer:

60m^2

Step-by-step explanation:

Solve, then type your answer into the box. Use the sketch pad(s) to show your work, or the graph on the next page to upload an image of your work - your choice:



`1-6b+2=-9-3b`

Answers

Answer:a

Step-by-step explanation:

a

B=4 first calculate and move terms = 3-6b=-9-3b then collect like terms calculate = -6b+3b=-9-3 then divide both sides. = -3b=-12 to get b=4

A flying disc has a circumference of 81.64 centimeters. What is the area of the flying disc? Use 3.14 for pi

Answers

9514 1404 393

Answer:

  530.66 cm²

Step-by-step explanation:

A formula for the area of the circular disc can be written as ...

  A = C²/(4π)

  A = (81.64²)/(4·3.14) = 6665.0896/12.56

  A = 530.66 . . . . square centimeters

Can someone help me plsss

Answers

Answer:

that looks hard HAHSJAHD

Step-by-step explanation:

WILL GIVE BRAINLIST! Help!!
What is the value of x?

Enter your answer in the box.

X= ( ? )

Answers

Answer:

the other leg of the angle will equal 8

Answer:

The other leg is the only one that will equal 8

Step-by-step explanation:

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