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Zarrin [17]
4 years ago
5

Lines m, l, and n are cut by transversal t. At the intersection of lines m and t, the uppercase left angle is angle 1 and the up

percase right angle is angle 2. At the intersection of lines n and t, the uppercase left angle is angle 3.
Lines l, m, and n lie in a plane and are cut by a transversal, t. ∠1 is supplementary to ∠2, and ∠2 is supplementary to ∠3.
Mathematics
1 answer:
KengaRu [80]4 years ago
7 0

Answer:

Which lines, if any, are parallel?

✔ m and n

What justifies your answer?

✔ converse of same side interior angle theorem

Step-by-step explanation:

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cluponka [151]
___Brainliest if helped

1.He plotted y= -(0.4^x)+3 
He did not bracket properly so this is the graph. 

2.
<span>C. The graph decreases from left to right.
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7 0
3 years ago
Read 2 more answers
Calculate the sample standard deviation for the following data set. If necessary, round to one more decimal place than the large
mamaluj [8]

Answer:

s = 0.0394

Step-by-step explanation:

Given:

0.612 0.523  0.606 0.631  0.584  0.592  0.644  0.597  0.639  0.607  0.564  0.673

Required

Calculate the sample standard deviation

First, calculate the mean

\bar x = \frac{\sum x}{n}

\bar x = \frac{0.612 +0.523 +0.606 +0.631+ 0.584 + 0.592+ 0.644  +0.597 +0.639  +0.607 +0.564+ 0.673}{12}

\bar x = \frac{7.272}{12}

\bar x = 0.606

The sample standard deviation is then calculated using:

s = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}

\sum (x - \bar x)^2 = (0.612 -0.606)^2+(0.523 -0.606)^2+(0.606 -0.606)^2+(0.631 -0.606)^2+(0.584 -0.606)^2+(0.592 -0.606)^2+(0.644 -0.606)^2+(0.597  -0.606)^2+(0.639 -0.606)^2+(0.607 -0.606)^2+(0.564 -0.606)^2+(0.673 -0.606)^2

\sum (x - \bar x)^2 = 0.017098

So, we have:

s = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}

s = \sqrt{\frac{0.017098}{12-1}}

s = \sqrt{\frac{0.017098}{11}}

s = \sqrt{0.00155436363}

s = 0.0394 -- approximated

4 0
3 years ago
A club decides to sell T-Shirts for 15$ as a fund-raiser. It cost $20 plus $9 per T-Shirt to make them. How many T-Shirts need t
8090 [49]
The expression for T-shirt production is 20+9T
The expression for total price of selling the T-shirts is 15T

Profit = Total cost of selling - Total cost of buying
Profit = 15T - (20+9T)
Profit = 15T - 20 - 9T
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To make profit ≥150

6T - 20 ≥ 150
6T ≥ 170
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The minimum number of T-shirts needed is 29 T-shirts
7 0
3 years ago
Find the GCF of 72 and 84 using prime factorizations
Verdich [7]

Answer:

  GCF = 12

Step-by-step explanation:

72 = 2³·3²

84 = 2²·3·7

Common prime factors are 2 and 3. The lowest power of 2 is 2; the lowest power of 3 is 1. The greatest common factor is 2²·3 = 12.

7 0
3 years ago
Do the following summarize a categorical variable or a numerical variable? If the data is numerical, also state if it is continu
Leviafan [203]

The batting average of a baseball player is classified as a numeric continuous variable.

<h3>What are categorical and numerical variables?</h3>

  • Categorical variables assume labels, for example, good or bad.
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A batting average is given by the <u>number of hits divided by the number of at bats</u>, hence it is a numeric value.

<h3>What are continuous and discrete variables?</h3>

  • Continuous variables assume real values.
  • Discrete variables assume integer values.

The batting average is a real number, hence it is also a continuous variable.

More can be learned about classification of variables at brainly.com/question/17226865

#SPJ1

5 0
2 years ago
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