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kow [346]
2 years ago
12

If x and x/4 are a pair of supplementary angles find angles​

Mathematics
1 answer:
alisha [4.7K]2 years ago
5 0

\text{Supplementary angles adds up to 180 degree.}\\\text{Given that the angles are x and x/4. As they are supplementary}\\\text{ they add up to 180 degrees}\\\\\\ x+\dfrac{x}{4}=180\\\\\\\dfrac{4x+x}{4}=180\\\\\\5x=720\\\\\\x=\dfrac{720}{5}\\\\\\\boxed{x=144}

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What are the coordinates of the vertex of the function f(x) = x2 - 12x + 5?
FinnZ [79.3K]

Answer:

The vertex is the point (6,-31)

Step-by-step explanation:

we have

f(x)=x^2-12x+5

This is a vertical parabola open upward

The vertex represent a minimum

Convert to vertex form

Complete the square

f(x)=(x^2-12x+6^2)+5-6^2

f(x)=(x^2-12x+36)-31

Rewrite as perfect squares

f(x)=(x-6)^2-31 -----> equation in vertex form

therefore

The vertex is the point (6,-31)

6 0
3 years ago
Solve the equation.
Vinil7 [7]
If you would like to solve the equation x + 1/6 = 6, you can do this using the following steps:

x + 1/6 = 6       /-1/6
x + 1/6 - 1/6 = 6 - 1/6
x = 6 - 1/6
x = 36/6 - 1/6
x = 35/6
x = 5 5/6

The correct result would be C. x = 5 5/6.
5 0
3 years ago
I’ll mark you brainliest if you answer
ra1l [238]

Answer:

A=Pier^2

a=pie2.5^2

a=19.63

A=Pier^2

a=pie2^2

a=12.57

19.63 - 12.57

=7.07

B

8 0
2 years ago
A 15 foot ladder is placed on the top of a wall. The distance from the bottom of the wall to the bottom of the ladder is 7 feet.
kati45 [8]

The height of the wall from the question is 13.27ft

<h3 /><h3>Pythagoras theorem </h3>

The theorem states that the square of the longest side is equal to the sum of square of other two sides.

From the given question

Hypotenuse (ladder length) = 15ft

Adjacent = 7feet

Required

Height of the wall H

According to the theorem

15² = 7² + H²

H² = 225 - 49

H² = 176

H = 13.27feet

Hence the height of the wall from the question is 13.27ft

Learn more on pythagoras theorem here; brainly.com/question/343682

#SPJ1

5 0
1 year ago
Identify which statement about the mean of a discrete random variable is not true or state that they are all true.Choose the cor
pashok25 [27]

Answer:

A, C are true .  B is not true.

Step-by-step explanation:

Mean of a discrete random variable can be interpreted as the average outcome if the experiment is repeated many times. Expected value or average of the distribution is analogous to mean of the distribution.

The mean can be found using summation from nothing to nothing x times Upper P (x) , i.e ∑x•P(x).

Example : If two outcomes 100 & 50 occur with probabilities 0.5 each. Expected value (Average) (Mean) : ∑x•P(x) = (0.5)(100) + (0.5)(50) = 50 + 25 = 75

The mean may not be a possible value of the random variable.

Example : Mean of possible no.s on a die = ( 1 + 2 + 3 + 4 + 5 + 6 ) / 6 = 21/6 = 3.5, which is not a possible value of the random variable 'no. on a die'

4 0
3 years ago
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