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VLD [36.1K]
3 years ago
14

Can someone please help me ASAP ​

Mathematics
2 answers:
laiz [17]3 years ago
7 0

Answer:

42 degrees

Step-by-step explanation:

Strike441 [17]3 years ago
7 0

Answer:

x=42°

Step-by-step explanation:

In any triangle, when all three angles are added together, their sum will always be 180°:

∠1+∠2+∠3=180

Insert any known values:

29+109+x=180

Simplify the addition:

138+x=180

Use inverse operations to find angle three. Subtract 138 from both sides:

138-138+x=180-138\\\\x=42

Therefore, the unknown angle is 42°.

:Done

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Determine the equation of the linear function that has a slope of -4 and passes through the point (2,-4). Write the equation in
padilas [110]

Answer:

Part 1) y=-4x+4

Part 2) The graph in the attached figure

Step-by-step explanation:

Part 1)

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-intercept

we have

m=-4\\point\ (2,-4)

substitute in the linear equation

-4=-4(2)+b

solve for b

-4=-8+b\\b=8-4\\b=4

substitute

y=-4x+4

Part 2) Draw the equation

we know that

To graph a line we need two points

we have the y-intercept (0,4) and (2,-4)

Plot the points, connect them and join to draw the line

see the attached figure

7 0
3 years ago
Suppose that you were not given the sample mean and sample standard deviation and instead you were given a list of data for the
Troyanec [42]

Answer:

So, the sample mean is 31.3.

So, the sample standard deviation is 6.98.

Step-by-step explanation:

We have a list of data for the speeds (in miles per hour) of the 20 vehicles. So, N=20.

We calculate the sample mean :

\mu=\frac{19 +19 +22 +24 +25 +27 +28+ 37 +35 +30+ 37+ 36+ 39+ 40+ 43+ 30+ 31+ 36+ 33+ 35}{20}\\\\\mu=\frac{626}{20}\\\\\mu=31.3

So, the sample mean is 31.3.

We use the formula for a sample standard deviation:

\sigma=\sqrt{\frac{1}{N-1}\sum_{i=1}^{N}(x_i-\mu)^2}

Now, we calculate the sum

\sum_{i=1}^{20}(x_i-31.3)^2=(19-31.3)^2+(19-31.3)^2+(22-31.3)^2+(24-31.3)^2+(25-31.3)^2+(27-31.3)^2+(28-31.3)^2+(37-31.3)^2+(35-31.3)^2+(30-31.3)^2+(37-31.3)^2+(36-31.3)^2+(39-31.3)^2+(40-31.3)^2+(43-31.3)^2+(30-31.3)^2+(31-31.3)^2+(36-31.3)^2+(33-31.3)^2+(35-31.3)^2\\\\\sum_{i=1}^{20}(x_i-31.3})^2=926.2\\

Therefore, we get

\sigma=\sqrt{\frac{1}{N-1}\sum_{i=1}^{N}(x_i-\mu)^2}\\\\\sigma=\sqrt{\frac{1}{19}\cdot926.2}\\\\\sigma=6.98

So, the sample standard deviation is 6.98.

3 0
3 years ago
(x+3)/(x-2)=5. ........
DochEvi [55]
Times both sides by (x-2)
x+3=5(x-2)
x+3=5x-10
minus x both sides
3=4x-10
add 10 both sides
13=4x
divide by 4
13/4=x
5 0
3 years ago
Coach Burns charted the change in his runners’ 5K times from the first race of the year to the second race of the year. Which
Tom [10]

Yasim is Albert who ran the race at a time that was 15.7 seconds shorter, So, Yasim is the student who improved the most by decreasing the time needed to run the race.

<h2>Given that,</h2>

Coach Burns charted the change in his runners' 5K times from the first race of the year to the second race of the year.

<h3>We have to find,</h3>

Which student improved the most by decreasing the time needed to run the race?

<h3>According to the question,</h3>

Coach Burns charted the change in his runners' 5K times from the first race of the year to the second race of the year.

In the given option Yasim has the lowest value of the time which is -37.5 seconds.

Yasim was the most improved student because Yasim ran the second race in a time that was 37.4 seconds shorter than the first race.

Following Yasim is Albert who ran the race at a time that was 15.7 seconds shorter.

At the third place in improvement is Cody who actually was worse off than the first race along with the 4th place Hannah.

Hence, Yasim students improved the most by decreasing the time needed to run the race.

For more details about the Equation refer to the link given below.

brainly.com/question/3842749

7 0
2 years ago
A swimming pool in the shape of a rectangular prism is 30 feet long, 15 1 2 feet wide, and 6 feet deep. How much water could the
SSSSS [86.1K]

Answer:

exactly how wide is the pool? ill edit the question and put the answer but i need to know please :)

Step-by-step explanation:

The way you solve for the volume is by multiplying the depth by the width and the length

7 0
3 years ago
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