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4 years ago

Write a paragraph, flowchart, or 2-column proof for the following:

Mathematics

1 answer:

lawyer [7]4 years ago

7 0

Answer:

see the procedure

Step-by-step explanation:

we know that

m∠1+m∠2=180° -----> supplementary angles (form a linear pair)

we have

m∠1=27°

substitute the measure of m∠1 in the equation above and solve for m∠2

27°+m∠2=180°

Subtract 27° both sides

27°+m∠2-27°=180°-27° ----> by subtraction property of equality

m∠2=153°

You might be interested in

What is 2 5/12 -(-2 1/6) Express the answer in simplest form.

VladimirAG [237]

Answer:
= 29/12 − -13/6

= ((29 × 6) − (-13 × 12)) / (12 × 6) 

= (174 - -156) / 72

= 330/72

= 55/12

= 4 7/12

3 0

3 years ago

The sum of two numbers is 43, and their product is 450. What is their difference?

kow [346]

Answer:

List the factors of 450

1,450

3,150

5,90

6,75

9,50

10,45

15,30

18,25

The factor with the sum of 43 is 18+25

25-18=7 so the difference is 7

hope this helps

Step-by-step explanation:

8 0

4 years ago

Read 2 more answers

Here's a graph of a linear function. Write the

Savatey [412]

there is no visible graph

Step-by-step explanation:

4 0

4 years ago

Please help! I know this should be easy but I don't understand it

makvit [3.9K]

I believe that the answer may be 1,1,1,2

3 0

3 years ago

A city police officer using radar checked the speed of 26 cars as they were travelling down a city street and the data is given

pychu [463]

Answer: The distribution of the data set is positively skewed.

Explanation:

In order to see whether the given data set is symmetric, positively skewed or negatively skewed, we will find the mean, median and mode of the given data set.

For symmetric distribution, $Mean = Median=Mode$

For positively skewed distribution, $Mean > Median>Mode$

For negatively skewed distribution, $Mean < Median$

The mean of the given data set is given below:

$Mean = \frac{27+23+22+38+43+24+25+23+22+54+31+30+29+48+27+25+29+28+26+33+25+21+23+34+20+23}{26}$

$=\frac{753}{26}$

$=28.96$

Now, the Median is:

To find the median we need to sort the data in ascending order as:

$20,21,22,22,23,23,23,23,24,25,25,25,26,27,27,28,29,29,30,31,33,34,38,43,48,54$

$Median=\left(\frac{N+1}{2} \right)^{th} item$

$=\left(\frac{26+1}{2}\right)^{th} item$

$=13.5^{th} item$

$=26+0.5 \times (27-26)$

$=26.5$

$\therefore Median = 26.5$

The mode is the most frequently occurring observation. Therefore the mode is:

$Mode=23$

Since the $Mean >Median>Mode$ , therefore the distribution of the given data set is positively skewed.

5 0

4 years ago