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Karolina [17]
2 years ago
5

Please help am trying to turn this work in​

Mathematics
2 answers:
Pachacha [2.7K]2 years ago
6 0

Answer:

30 degrees

Step-by-step explanation:

Intersecting lines form vertical angles and vertical angles are congruent

jasenka [17]2 years ago
4 0

Answer:

Angle 3 will be 30 degrees

Step-by-step explanation:

vertical

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The length of one base of a trapezoid is 19 less than five times the length of the other base. If the trapezoid has a height of
love history [14]
Area of a trapezoid: [(top +bottom)*height]/2
suppose the length of one base is x, then the other base is 5x-19
[(x+5x-19)*18]/2=477
[6x-19]*18=954
6x-19=53
6x=72
x=12
The longer base is 5*12-19=41


5 0
3 years ago
Plzzzzz help me plzzzzzz
lisabon 2012 [21]

Answer: 36


Step-by-step explanation:

(11−9)^2(8−5)^2

=(22)((8−5)^2)

=4(8−5)^2

=4(3^2)

=(4)(9)

=36


4 0
3 years ago
Read 2 more answers
A 300-lb gorilla climbs a tree to a height of 30 ft. Find the work done if the gorilla reaches that height in the following time
omeli [17]

Answer:

a) 9000 ft-lb

b) 9000 ft-lb

Step-by-step explanation:

Equation for the work:

The equation for the work done is given by:

W = Fd

In which F is the force needed and d is the distance. The time does not interfere on the work.

A 300-lb gorilla climbs a tree to a height of 30 ft

This means that F = 300, h = 30

Thus

W = Fd = 300(30) = 9000

The work done in both cases is of 9000 ft-lb, as the work is not a function of time.

4 0
3 years ago
What are the value(s) of x for tan(x) = 0?
Nesterboy [21]

Answer:

4.the answer is option four

Step-by-step explanation:

tan(360)=0

tan(180)=0

tan(0)=0

7 0
3 years ago
A data set of 27 different numbers has a mean of 33 and a median of 33. A new data set is
Svetllana [295]

Answer:

Option D.

Step-by-step explanation:

Suppose that we have a set of N values:

{x₁, x₂, ..., xₙ}

The median is the value in the middle, and the mean is calculated as:

M = \frac{(x_1 + x_2 + x_3 ... + x_n)}{N}

Because here we have "the median" then we will assume that N is odd, and there is only one median, the value "k"  (if N was even, the median would be the mean of the two middle values, that case is really similar to the case where N is odd, so solving only one of the cases is enough)

Now we add 7 to all the values greater than the median

We subtract 7 to all values smaller than the median.

Then the median remains unchanged (because we did not add nor subtract anything to the median).

The new mean will be:

M' = \frac{(x_1 - 7) + (x_2 - 7) + ... + (x_{k}) + ... + (x_n + 7)}{N} = \frac{(x_1 + x_2 + ... + x_n) + (-7)*(n/2 - 0.5) + 7*(n/2 - 0.5)}{N}  = \frac{(x_1 + x_2 + ... + x_n)}{N} = M

So the mean does not change.

Because the mean is computed as the sum of the numbers divided by N, and the mean does not change, and N does not change, then the sum of the numbers does not change.

Finally, the standard deviation is computed as:

SD = \sqrt{\frac{(x_1 - M)^2 + ... + (xn - M)^2}{N} }

Because M does not change, if we add or subtract numbers to some of the values, the standard deviation will change (Because all the terms are squared, so the added and subtracted sevens don't cancel like in the previous cases)

Then the only value that does not have the same value in both the original and new data sets is the standard deviation.

6 0
3 years ago
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