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den301095 [7]
3 years ago
6

△ABC is given with line m drawn through A parallel to BC¯¯¯¯¯¯¯¯. In the course of proving that the interior angle measures of △

ABC sum to 180°, which of the following will be shown? Select the two correct answers.
A. ∠1≅∠B


B. m∠BAC+m∠C+m∠2=180°


C. m∠1+m∠BAC+m∠2=180°


D. ∠1≅∠C


E. ∠2≅∠A

Mathematics
1 answer:
aleksklad [387]3 years ago
4 0

Answer:

I think a) and c is correct.

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The height of 44 students (in centimeter) are presented in the frequency distribution below. Complete the table, and then find t
JulijaS [17]

Given:

The height of 44 students (in centimeter) are presented in the given frequency distribution.

To find:

The median of the given data.

Solution:

The given intervals are inclusive first make the intervals exclusive by adding 0.5 in upper limit and by subtracting 0.5 from the lower limit.

The complete frequency distribution table is shown below:

Height              Frequency           L                            <cf

182 - 188                  1                  181.5 - 188.5            44

175 - 181                   3                 174.5 - 181.5             43

168 - 174                  6                 167.5 - 174.5            40

161 - 167                 15               160.5 - 167.5            34   Median class

154 - 160                 12                153.5 - 160.5           19

147 - 153                   4                146.5 - 153.5             7

140 - 146                   3                139.5 - 146.5             3

We have, n=44.

\dfrac{n}{2}=\dfrac{44}{2}

\dfrac{n}{2}=22

The 22th term is include in the class 160.5 - 167.5 because is cf is greater than 22 but the cf of o preceding class is less than 22. So, it is the median class is 160.5 - 167.5.

Formula for median:

Median=l+\dfrac{\dfrac{n}{2}-cf}{f}\times h

Where, l is the lower limit of median class, cf is the cumulative frequency of preceding class, f is the frequency of median class and h is the size of the class.

Now, l=160.5,f=15,cf=19,h=7.

Median=160.5+\dfrac{22-19}{15}\times 7

Median=160.5+\dfrac{3}{15}\times 7

Median=160.5+1.4

Median=161.9

Therefore, the median of the given data table is 161.9.

3 0
3 years ago
I need help with this !!!!!!
stiks02 [169]

Answer:

Step-by-step explanation:

Use the cosine ratio, adjacent over hypotenuse. Plug in the values

cos70=x/25.5

Isolate x. Multiply both sides by 25.5

x=25.5*cos70

Enter the equation into a calculator

3 0
3 years ago
And this is the last one i need done
quester [9]

Answer:

x=-2.5,9

Step-by-step explanation:

Set them equal to each other to say 2x^2-9x=4x+45. Get them all on one side to get 2x^2-13x-45. Factor that out to get (x+2.5)(x-9). Set that equal to 0 to get x=-2.5,9

5 0
3 years ago
What is the fourth term of an arithmetic sequence whose first term is 23 and whose seventh term is 5?
mixas84 [53]

We have that  the fourth term of an arithmetic sequence is

a_4=14

Option C

From the question we are told

What is the fourth term of an arithmetic sequence whose first term is 23 and whose seventh term is 5?

A) 78

B) 32

C) 14

(Explain your work)

Generally the equation for the  arithmetic sequence  is mathematically given as

a_4=a_1+(n-1)d

Therefore

For seventh term

5=23+(6)d\\\\d=5-23/(6)\\\\d=-3

Therefore

For Fourth term

a_4=23+(3*(-3))

a_4=14

For more information on this visit

brainly.com/question/23366835

4 0
3 years ago
Mailani has 184 folders that she plays evenly into seven piles how folders were placed in to the last pile
Mamont248 [21]
If my calculations are correct , only 26 stacks of folders will only hold 7 folders evenly .. leaving 1 pile with 9 folders because 26*7= 182 & 184-182 = 2 . 7+2=9
8 0
3 years ago
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