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
Lynna [10]
3 years ago
6

If the supplement of an angle is 4 times of its compliment, find the angle.

Mathematics
2 answers:
algol133 years ago
8 0

Answer:

The angle is 60 degrees.

Step-by-step explanation:

Let the angle be x.

Then its supplement = 180-x.

Its complement = 90-x, so we have the equation:

180 - x = 4(90 - x)

180 - x = 360 - 4x

-x + 4x = 360 - 180

3x = 180

x= 60 degrees.

marshall27 [118]3 years ago
7 0

Answer:

The angle is 60°

Step-by-step explanation:

A supplement angle is the angle whose sum is equal to 180°.

The supplement angle = 180° - x

A complement angle is the angle whose sum is equal to 90°.

The complement angle = 90° - x

Given,

supplement angle = 4 × complement angle

(180° - x) = 4 × (90° - x)

180° - x = 360° - 4x

4x - x = 360° - 180°

3x = 180°

x = 60°

The supplement angle = 180° - x

⇒ 180° - 60°

⇒ 120°

The complement angle = 90° - x

⇒ 90° - 60°

⇒ 30°

You might be interested in
Can you explain the standard form of a line in algebra 1 ?​
Lilit [14]
Answer. The standard form of a line is in the form Ax + By = C where A is a positive integer, and B, and C are integers. Hope this helps, let me know if it’s correct so others can use it :)
Good luck.
7 0
3 years ago
What is the area of the following circle? D = 2
Vladimir79 [104]

Answer:

\pi \: {r}^{2}  = \pi \:  { \frac{d}{4} }^{2}

Plug the formula in to your calculator

8 0
3 years ago
Read 2 more answers
Please answer this multiple choice question for 27 points and brainliest!!
storchak [24]

Answer:

A

Step-by-step explanation:

The equation will be in the form

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

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 5) and (x₂, y₂ ) = (2.5, 0) ← 2 points on the line

m = \frac{0-5}{2.5-0} = - 2

The line crosses the y- axis at (0, 5) ⇒ c = 5

y = - 2x + 5 or

y = 5 - 2x → A

5 0
3 years ago
In the New York State Numbers Lottery, you pay $1 and can bet that the sum of the numbers that come up is 13. The probability of
Harman [31]

Answer:

The expected value of profit is -0.5125. This is expected loss as value is negative.        

Step-by-step explanation:

We are given the following in the question:

P(winning) = 0.075

Thus,

P(Loosing) =

1 - 0.075 = 0.925

If we win we gain a profit of $5.50 and if we loose the lottery, we loose $1.

Thus, we can form the probability distribution in the following manner:

  Event:      Winning       Loosing

Profit(x):      +5.50               -1

     P(x):       0.075             0.925

We have to calculate the expected value of the profit.

E(X) = \displaystyle\sum x_i(P(x_i))\\E(x) = +5.50(0.075) + (-1)(0.925)\\E(x) = -0.5125

Thus, the expected value of profit is -0.5125. This is expected loss as value is negative.

7 0
3 years ago
Does anyone know the answer?
motikmotik

Answer:

We conclude that the area of the right triangle is:

A\:=p^2-2p-3

Hence, option A is correct.          

Step-by-step explanation:

From the given right-angled triangle,

  • Base = p+1
  • Perpendicular = 2p-6

Using the formula to determine the area of the right-angled triangle

Area of the right triangle A = 1/2 × Base × Perpendicular

                                            =\frac{1}{2}\left(p+1\right)\left(2p-6\right)

Factor 2p-6: 2(p-3)

                                             =\frac{\left(p+1\right)\times \:2\left(p-3\right)}{2}  

Divide the number: 2/2 = 1

                                              =\left(p+1\right)\left(p-3\right)

\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd

                                               =pp+p\left(-3\right)+1\cdot \:p+1\cdot \left(-3\right)

                                               =pp-3p+1\cdot \:p-1\cdot \:3

                                                =p^2-2p-3

Therefore, we conclude that the area of the right triangle is:

A\:=p^2-2p-3

Hence, option A is correct.                                        

3 0
3 years ago
Other questions:
  • Match the descriptions of cross sections of three-dimensional figures to their corresponding shapes.
    6·1 answer
  • 6 is what percent of 40?
    10·2 answers
  • 3. Given rectangles and , and given that rectangle is fully rotated about line BC, answer the following questions. (a) Describe
    10·1 answer
  • Use the formula for delectation d= (Vf-Vi)/t. f is the final velocity , i is the initial velocity and t is time . Solve for I
    14·1 answer
  • A horse trots in a circle around its trainer at the end of a 22-foot-long rope. Find the area of the circle that is swept out. R
    9·2 answers
  • Find the fourth term of the
    7·1 answer
  • Question 1)
    13·2 answers
  • Can you answer this plz thanks
    11·1 answer
  • A function, f(x), represents the distance a car travels over time. The line tangent to the function at x=1 is y=0.6x+0.9. The li
    9·1 answer
  • Question 1 of 5
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!