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Ilya [14]
3 years ago
14

An isosceles triangle with angles b and c having the same measure is shown. Find the measure of each angle whose degree measure

is represented with variables. A= x+ 7y+41,B= 2y+13,C=6x+15
Mathematics
1 answer:
Anton [14]3 years ago
8 0

Answer:

A = 114°, B = C = 33°

Step-by-step explanation:

The triangle relationships let you write two equations:

A+B+C = 180

B=C

Substituting the expressions for A, B, and C, you have ...

(x+7y+41) +(2y+13) +(6x+15) = 180

7x +9y +69 = 180

7x +9y = 111

And the second equation gives ...

(2y+13) = (6x+15)

6x -2y =-2

3x -y = -1

Now, we can add 9 times this second equation to the first to eliminate the y-variable.

(7x +9y) +9(3x -y) = (111) +9(-1)

34x = 102

x = 3

Then the angle measures are ..

B = C = 6·3+15 = 33

A = 180 -2·33 = 114

The angles in the triangle are (A, B, C) = (114°, 33°, 33°).

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4 questions last ones thxxx
iren [92.7K]

Answer:

(For the first two questions I do believe that you will need a protractor to calculate the angles.)

15) -(\frac{7\pi }{18} )\\ measures out to -70° in order to display that the angle would be in quadrant IV (the bottom right quadrant.)

The first image attached shows where the angle should be located.

16) \frac{\pi }{3} is equal to 60° (the line you draw will be in quadrant 1 (the top right quadrant))

17) 350° is \frac{35\pi }{18} or 6.11 (the answer depends on the format the professor wants.)

18) 240° is -(\frac{4\pi }{3}) radians or -4.19 (I am rounding to the nearest hundredths place the unsimplified answer is −4.18879020...)

6 0
2 years ago
What is the percent of 14 out of 20? If someone could explain how I would find the percentage that would be great. :)
nasty-shy [4]
14/20 = 0.7....multiply by 100 to get ur percent = 70%
so 14 is 70% of 20
8 0
3 years ago
Day Drive 270 miles and 6 hours how many miles do you drive in 13 hours ​
NikAS [45]

Answer:

The answer is

<h2>585 miles</h2>

Step-by-step explanation:

In order to solve this question we use ratio and proportion

From the question

Day Drive 270 miles in 6 hours

So in order to find the distance drove in 13 hours, we compare the distance drove in 6 hours to the distance drove in 13 hours and solve

That's

if in 6 hours Day drove 270 miles

Then in 13 hours the person will drive

\frac{13  \times 270}{6}  =  \frac{3510}{6}

We have the final answer as

<h3>585 miles</h3>

Hope this helps you

7 0
3 years ago
Suppose you are conducting a survey about the amount grocery store baggers are tipped for helping customers to their cars .for a
ELEN [110]

Using the Empirical Rule and the Central Limit Theorem, we have that:

  • About 68% of the sample mean fall with in the intervals $1.64 and $1.82.
  • About 99.7% of the sample mean fall with in the intervals $1.46 and $2.

<h3>What does the Empirical Rule state?</h3>

It states that, for a normally distributed random variable:

  • Approximately 68% of the measures are within 1 standard deviation of the mean.
  • Approximately 95% of the measures are within 2 standard deviations of  the mean.
  • Approximately 99.7% of the measures are within 3 standard deviations of the mean.

<h3>What does the Central Limit Theorem state?</h3>

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.

In this problem, the standard deviation of the distribution of sample means is:

s = \frac{0.657}{\sqrt{50}} = 0.09

68% of the means are within 1 standard deviation of the mean, hence the bounds are:

  • 1.73 - 0.09 = $1.64.
  • 1.73 + 0.09 = $1.82.

99.7% of the means are within 3 standard deviations of the mean, hence the bounds are:

  • 1.73 - 3 x 0.09 = $1.46.
  • 1.73 + 3 x 0.09 = $2.

More can be learned about the Empirical Rule at brainly.com/question/24537145

#SPJ1

5 0
2 years ago
What is the slope of the line passed through the points ( 1, -5) and 4,1?
Allisa [31]
If you use the slope formula, the answer is m = 2
8 0
3 years ago
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