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aniked [119]
3 years ago
7

Please answer this for me <3

Mathematics
1 answer:
zloy xaker [14]3 years ago
5 0

Answer:

I think its D

Step-by-step explanation:

i might be wrong

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Lines l and m are parallel. When they are cut by the two transversals below, a triangle is formed.
marshall27 [118]

Answer:

<2 = 34degrees

Step-by-step explanation:

Find the diagram attached below:

First we need to get <1;

<1 + 74 = 180 (angle on a straight line)

<1 = 180 - 74

<1 = 106degrees

Also, <1 + <2 + 40 = 180 (sum of angle in a triangle)

106+<2 + 40 = 180

146 + <2 = 180

<2 = 180-146

<2 = 34degrees

3 0
3 years ago
I surveyed students in my Math II classes to see how many hours of television they watched the night before our big test on tria
Oduvanchick [21]
Given the table below representing the number of hours of television nine Math II class students watched the night before a big test on triangles along with the grades they each earned on that test.

\begin{center}&#10;\begin{tabular}&#10;{|c|c|}&#10;Hours Spent Watching TV & Grade on Test (out of 100)  \\ [1ex]&#10;4 & 71 \\ &#10;2 & 81 \\ &#10;4 & 62 \\ &#10;1 & 86 \\ &#10;3 & 77 \\ &#10;1 & 93 \\ &#10;2 & 84 \\ &#10;3 & 80 \\ &#10;2 & 85&#10;\end{tabular}&#10;\end{center}

Let the number the number of hours of television each of the students watched the night before the test be x while the grades they each earned on that test be y.

We use the following table to find the equation of the line of best fit of the regression analysis of the data.

\begin{center} \begin{tabular} {|c|c|c|c|} x & y & x^2 & xy \\ [1ex] 4 & 71 & 16 & 284 \\ 2 & 81 & 4 & 162 \\ 4 & 62 & 16 & 248 \\ 1 & 86 & 1 & 86 \\ 3 & 77 & 9 & 231 \\ 1 & 93 & 1 & 93 \\ 2 & 84 & 4 & 168 \\ 3 & 80 & 9 & 240 \\ 2 & 85 & 4 & 170 \\ [1ex]\Sigma x=22 & \Sigma y=719 & \Sigma x^2=64 & \Sigma xy=1,682 \end{tabular} \end{center}

Recall that the equation of the line of best fit of a regression analysis is given by
y=a+bx
where:
a= \frac{(\Sigma y)(\Sigma x^2)-(\Sigma x)(\Sigma xy)}{n(\Sigma x^2)-(\Sigma x)^2}
and
b= \frac{n(\Sigma xy)-(\Sigma x)(\Sigma y)}{n(\Sigma x^2)-(\Sigma x)^2}

y=\frac{(719)(64)-(22)(1,682)}{9(64)-(22)^2}+\frac{9(1,682)-(22)(719)}{9(64)-(22)^2}x \\  \\ = \frac{46,016-37,004}{576-484} + \frac{15,138-15,818}{576-484} x \\  \\ = \frac{9,012}{92} + \frac{-680}{92} x \\  \\ =97.95-7.391x

Thus, the equation of the line of best fit is given by y = 97.95 - 7.391x

<span>A student that watched 1.5 hours of TV will have a score given by
y = 97.95 - 7.391(1.5) = 97.95 - 11.0865 = 86.8635

Therefore, </span><span>a student’s score if he/she watched 1.5 hours of TV to the nearest whole number is 87.</span>
6 0
3 years ago
5a please :) I don't know the formula
Naddika [18.5K]
S.A = (2×area of base) + area of lateral faces
Area of lateral faces = area of base × height

Area of lateral faces = 19×4×8=608
S.A = (2×19×4)+608
=760
3 0
4 years ago
7. Use the quotient rule to simplify the following expression. Assume that x&gt;0.
NeTakaya
Quotient rule says we can divide 192 and 3 because they are both under the radical. This gives us the square root of 64.

We can also divide x^3 and x to get x^2.

The square root of 64x^2 is 8x
8 0
3 years ago
Hey, Its the same person. This is Algebra 2. Please Help!
suter [353]

Answer:

first option

Step-by-step explanation:

Given

f(x) = \frac{2x^2+5x-12}{x+4} ← factorise the numerator

     = \frac{(x + 4)(2x-3)}{x+4} ← cancel (x + 4) on numerator/ denominator

     = 2x - 3

Cancelling (x + 4) creates a discontinuity ( a hole ) at x + 4 = 0, that is

x = - 4

Substitute x = - 4 into the simplified f(x) for y- coordinate

f(- 4) = 2(- 4) - 3 = - 8 - 3 = - 11

The discontinuity occurs at (- 4, - 11 )

To obtain the zero let f(x) = 0, that is

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = \frac{3}{2}

There is a zero at ( \frac{3}{2}, 0 )

Thus

discontinuity at (- 4, - 11 ), zero at ( \frac{3}{2}, 0 )

7 0
3 years ago
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