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xxMikexx [17]
3 years ago
15

Two angles are supplementary. Angle A is 4x degrees. Angle B is (2x + 30) degrees. Determine the measure of each angle. Be sure

to determine the measure of angle A and angle B and clearly label them in your answer
Mathematics
2 answers:
Marina86 [1]3 years ago
8 0

Answer:

Angle A = 100°

Angle B = 80°

Step-by-step explanation:

Supplementary angles means angles add up to 180°.

There are only two angles given here.

Angle A and Angle B add up to 180°.

A + B = 180°

4x + (2x + 30) = 180°

4x + 2x + 30 = 180°

6x + 30 = 180°

6x = 180 - 30

6x = 150°

x = 150 ÷ 6

x = 25°

Now substitute the x value to the angles.

Angle A:

4x

4(25) = 100°

Angle B:

2x + 30

2(25) + 30

50 + 30 = 80°

Marina CMI [18]3 years ago
5 0
<h3>Supplementary Angles:</h3>

Angles which adds up to 180°.

<h3>Given:</h3>

A = 4x

B = 2x + 30

<h3>To Find:</h3>

The measurements of A and B.

<h3>Solution:</h3>

A + B = 180°

or, 4x + 2x + 30 = 180°

or, 6x + 30 = 180°

or, 6x = 180 - 30

or, x = 150/6 = 25°

<h2>Answer:</h2>

A = 4x = 4(25) = <u>100°</u>

B = 2x + 30 = 2(25) + 30 = <u>8</u><u>0</u><u>°</u>

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Triangle XYZ is translated 4 units up and 3 units left to yield ΔXYZ. What is the distance between any two corresponding points
Mashcka [7]
<h3>Answer:</h3>

5 units

<h3>Step-by-step explanation:</h3>

A point 4 up and 3 over from its original location has moved a distance that can be found using the Pythagorean theorem.

... d² = 4² +3² = 16 +9 = 25

... d = √25 = 5 . . . . units

7 0
3 years ago
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3 years ago
Write an equation for a line perpendicular to y=4x−3 and passing through the point (4,1)
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4 0
3 years ago
College students average 8.6 hours of sleep per night with a standard deviation of 35 minutes. If the amount of sleep is normall
Soloha48 [4]

Answer:

4.27%

Step-by-step explanation:

We have been given that college students average 8.6 hours of sleep per night with a standard deviation of 35 minutes. We are asked to find the probability of college students that sleep for more than 9.6 hours.

We will use z-score formula to solve our given problem.

z=\frac{x-\mu}{\sigma}

z = z-score,

x = Random sample score,

\mu = Mean,

\sigma = Standard deviation.

Before substituting our given values in z-score formula, we need to convert 35 minutes to hours.

35\text{ min}=0.58\text{ Hour}

z=\frac{9.6-8.6}{0.58}

z=\frac{1}{0.58}

z=1.72

Now, we need to find P(z>1.72).

Using formula P(z>a)=1-P(z, we will get:

P(z>1.72)=1-P(z

Using normal distribution table, we will get:

P(z>1.72)=1-0.95728

P(z>1.72)=0.04272

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Therefore, 4.27% of college students sleep for more than 9.6 hours.

7 0
3 years ago
I wasn't in school today can someone explain how to do this
Pachacha [2.7K]
You have to multiply 7 3/4 to 9.

First, turn 7 3/4 to an improper fraction which is 31/4.
Next, you multiply 31/4 to 9/1(same thing as 9) across from each other.
Then, you get the answer 279/4(31 x 9 = 279 ;4 x 1 = 4; 279/4).
Last divide 279 to 4 and get 67.75( .75 = 3/4 ; 69 3/4).
 
7 0
3 years ago
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