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Goryan [66]
4 years ago
5

angle K and angle L are complementary angels. If the measurement of angle K =(3x+3) and the measurement of angle L =(10x-4).what

is the measure of each angle
Mathematics
1 answer:
spayn [35]4 years ago
3 0

The measurement of two angles is 24° and 66°

Step-by-step explanation:

First of all, let us define complementary angles

The angles whose sum is 90° are called complementary angles

Given

∠K = (3x+3)

∠L = (10x-4)

According to the definition,

K+L = 90\\3x+3 + 10x-4 = 90\\13x -1 = 90\\13x-1+1 = 90+1\\13x = 91

Dividing both sides by 13

\frac{13x}{13} = \frac{91}{13}\\x = 7

So,

∠K = 3x + 3 = 3(7) + 3 = 21+3 = 24°

∠L = 10x - 4 = 10(7) -4 =70 -4 = 66°

Hence,

The measurement of two angles is 24° and 66°

Keywords: Complementary angles, Angles

Learn more about complementary angles at:

  • brainly.com/question/5756316
  • brainly.com/question/5751004

#LearnwithBrainly

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Charra [1.4K]

Step-by-step explanation:

75 cm/s

75/100 m/s

0.75 m/s

(SINCE 100 CM =1M-------75 CM=75/100M)

7 0
3 years ago
A company is paying a local television station to run its commercials. The cost for running commercials is a one-time campaign f
Ronch [10]

Answer:

It represents the one-time campaign fee 500.

Step-by-step explanation:

A company is paying a local television station to run its commercials. The cost of running commercials is a one-time campaign fee and also a per-second fee for the air time of each commercial. The cost can be modeled by the equation y = 500 + 50x, where x is seconds.

The equation is in the slope-intercept form and the y-intercept is 500.

Now, it represents the one-time campaign fee 500. (Answer)

6 0
3 years ago
Halloween Candy Halloween is Kelly's favorite holiday of the year! Based on experience, Kelly knows that on average, each house
LuckyWell [14K]

Using the <u>normal distribution and the central limit theorem</u>, it is found that there is an approximately 0% probability that the total number of candies Kelly will receive this year is smaller than last year.

Normal Probability Distribution

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • It measures how many standard deviations the measure is from the mean.  
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
  • By the Central Limit Theorem, for n instances of a normal variable, the mean is n\mu while the standard deviation is s = \sigma\sqrt{n}.

In this problem:

  • Mean of 4 candies, hence \mu = 4.
  • Standard deviation of 1.5 candies, hence \sigma = 1.5.
  • She visited 35 houses, hence n = 35, \mu = 35(4) = 140, s = 1.5\sqrt{4} = 3

The probability is the <u>p-value of Z when X = 122</u>, hence:

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{122 - 140}{3}

Z = -6

Z = -6 has a p-value of 0.

Approximately 0% probability that the total number of candies Kelly will receive this year is smaller than last year.

A similar problem is given at brainly.com/question/24663213

6 0
3 years ago
For every car you sell, you get a 6% commission. IF your total sales for the month is $125,650, what is your commission?
Lera25 [3.4K]
Let
x= total cost of cars
y= total commission paid out for all cars sold

6%= 6/100 = .06

Set up an equation:
y= .06(x)

Given: x= $125,650

substitute into the y= .06(x)

multiply $125,650 by .06.

The answers would be: 7539


hope this helped :)
3 0
3 years ago
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What is the coordinetes for B
ira [324]

Answer:

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Step-by-step explanation:

Point B is located one position to the left on the x-axis resulting in a negative x-value in the coordinate pair, and Point B is located 0 units up on the graph resulting in a y-value of 0. Therefore, (-1,0) are the coordinates.

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