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MaRussiya [10]
3 years ago
11

Given: △DKS, m∠K = 90° Find: m∠DOS

Mathematics
1 answer:
Bas_tet [7]3 years ago
5 0

Answer:  

135

Step-by-step explanation:

if mK is 90 then mD is 60 and mS is 30. since the new point is in the middle of the triangle divide 60 and 30 by 2. Now mD is 30 and Ms is 15 so 30+15=45 so 180-45=135

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Write the equation of the line that passes through the points (- 4, - 3) and (3, - 5) . Put your answer in fully reduced slope i
bekas [8.4K]

Answer:

(-4, -3) y (3, -5)  

{-12 y, 15 y}

-12 y + 15 y = 3 y

(3 y)/2

3 sqrt(41) abs(y)

6 0
2 years ago
2. Consider the following dot plot and answer the following questions : A. Find the measures of central tendency Construct the B
zubka84 [21]

The measures of central tendency for this data set are as follows:

  1. Mean = 3.55.
  2. Median = 3.5.
  3. Mode = 3.

<h3>How to calculate measures of central tendency?</h3>

In Mathematics, there are three (3) main measures of central tendency and these include the following:

  • Mean
  • Median
  • Mode

For the mean, we have:

Mathematically, the mean for this data set would be calculated by using this formula:

Mean = [F(x)]/n

For the total number of data, we have:

F(x) = 0 + 1 + 1 + 1 + 2 + 2 + 3 + 3 + 3 + 3 + 4 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 7

F(x) = 71

Substituting the parameters into the formula, we have:

Mean = [F(x)]/n

Mean = 71/20

Mean = 3.55.

For the median, we have:

First of all, we would order the data from lowest to highest and then determine the median as follows:

Data = {0, 1, 1, 1, 2, 2, 3, 3, 3,} 3, 4, {4, 4, 5, 5, 5, 6, 6, 6, 7}

Median = {3 + 4}/2

Median = 7/2

Median = 3.5.

<h3>How to calculate the mode?</h3>

A mode refers to the most frequently occurring number in a data set. Thus, the mode for this data set is equal to 3.

In conclusion, a box plot of the measures of central tendency for this data set is shown in the image attached below.

Read more on mean here: brainly.com/question/9550536

#SPJ1

6 0
1 year ago
The prism has a volume of 120 cm3. What would the volume of the prism be if each dimension were halved? cm3 Triangular prism wit
Citrus2011 [14]
The volume of a triangular prism is V = 1/2 x a x c x h where a is height of the triangle, c is the base of the triangle and h is the height of the prism.
120 = 1/2 x a x c x h; we write a from the previous equation in terms of c and h thus,
a = 240 / ( c x h)
If the dimensions where halved then a = a/2 ; c = c/2 ; h=h/2
We use the volume formula again and substitute the given values to find the new volume,
V = 1/2 x a/2 x c/2 x h/2
Substitute the previously determined a term,
V = 1/2 x (240/2ch) x c/2 x h/2
We cancel and evaluate the constants therefore the new volume is,
V= 15 cm^3
3 0
3 years ago
Can someone please help me ASAP ​
laiz [17]

Answer:

42 degrees

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Please answer ASAP I NEED HELP
fenix001 [56]

Answer:

450 cm^3

Step-by-step explanation:

( 1/2 (5+7.5) 6 ) 12

4 0
3 years ago
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