There are 15 more girls than boys in the auditorium. If there are 91 students in the auditorium, how many are girls?

Answer: is 28080

Step-by-step explanation:

Answer:

Step-by-step explanation:

You have to assume that the triangles are congruent or at least similar. If they are not, the question isn't possible.

If that is so, then <M and <X are equal.

You can find < M by stating that 20 degrees.

That's because <L + <M + <N = 180 degrees. All triangles have 180 degrees.

<L = 70                  Given

<N= 90                  So marked.

70 + <M + 90 = 180

<M = 20 degrees.

<X = <M

<X = 20

Answer:

Angle BPQ = 64°

Step-by-step explanation:

4x + 12 +2x = 90

6x + 12 = 90

     - 12    -12

6x = 78

x = 13°

BPQ = ((4(13) + 12)°

           (52 + 12)°

            64°

*This answer may be wrong (part a), so make sure to double check with someone trustworthy. Feel free to tell me if I had made any mistakes, and I will fix them. Congrats if you read through my whole answer! Good luck!

Answer (a):

Coordinate: (0, 65)

Slope: -25

Step-by-step explanation:

Hint: In the graph, make one space represent 5 units to make the graph simpler (be careful on step #4 when plotting)

1.) Find the y - intercept to find a coordinate the line goes through.

2.) Rewrite the equation -25x + y = 65 in slope - intercept form.

y = 25x + 65

65 is the y - intercept at (0, 65)

3.) The slope is -25, so the slope is negative. To have a slope of 25, we can use the rise/run formula for the slope.

4.) Go 25 units to the left (to get to -25) and one unit down. Plot this point in the graph.

5.) After you have plotted these two points down (y - intercept and slope), draw a line through it.

Answer (b):

$140

Step-by-step explanation:

1.) We plug in 3 in x because it has three charms.

2.) New equation: -25(3) + y = 65

                               -75 + y = 65

3.) We add 75 to both sides to isolate y.

    -75 + y = 65

   +75 + y = 65 + 75

         y = 140

Answer:

90 degree rotation counterclockwise.

I think its right, BE SAFE! Hope it helps :3

Answer:

What does the circle look like?

Step-by-step explanation:

To find the area use 3.14 times the radius squared.

Give me the picture of the circle so I can solve it.

Answer:

if you go to a gift shop,percents off prices of items? if you buy lunch there, and your school gives you how much of percent of your payment will go towards lunch? if your school gives you percent of what will go to each such as 5 percent will go to the bus 50 percent will go to your ticket?

heightAnswer:

12

Step-by-step explanation:

(x representing the smallest size)

x + 4x = 60

5x = 60

x = 12

the height is 12

to confirm:

12 x 4 = 48

48 + 12 = 60

Answer:

192 would be your answer.

Answer:

  (d)  Adjacent angles share a side

Step-by-step explanation:

Adjacent angles share a side and a vertex. They have no interior points in common.

__

In the attachment, 'a' and 'b' are adjacent angles.

The parallel lines XY and AC is an illustration of similar triangles

The value of YC is 12 units

From the question, we have:

Parallel lines XY || AC

This means that:

BA : BX = YC : BY

Substitute known values in the above ratio

15 : 10 = YC : 8

Express the ratio as fractions

[tex]\frac{15}{10} = \frac{YC}{8}[/tex]

This gives

[tex]1.5 = \frac{YC}{8}[/tex]

Multiply both sides by 8

[tex]YC = 12[/tex]

Hence, the value of YC is 12 units

Read more about similar triangles at:

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Answer:

5

Step-by-step explanation:

The equation looks like 4x=20
Divide each side by 4 to get x=5
Thus x+5

Answer:

yeah

Step-by-step explanation:

give me the pic and ill solve

the area of the square is 144 square meters. the length is 12 m

Answer:

  a triangular prism

Step-by-step explanation:

The 6 vertices are the vertices of the two triangular faces. The 3 rectangles join those to make a triangular prism.

Answer:

D

Step-by-step explanation:

When doing this problem remember that absolute value is a number's distance from zero, and distance is always positive. So, absolute value makes any number positive. This means that |±x| = x. To find the correct number graph, first solve the inequality.

Subtract 1 from both sides

Divide both sides by 3

Then, we need to use absolute value. Any number with a distance from 0 greater than 2 fulfills this inequality. So, the number graph should represent -2 > x and x > 2. Additionally, because the inequality is looking for greater than but not equal to, the circles should be open.

The given rational function has a vertical asymptote at x = 12, and the

graph has x and y-intercept at the negative x and y-axis.

Response:

(a) The point (5, -2) is not on the graph

(b) f(x) = -1

(c) If f(x) = 2, x = 30

(d) Domain = (-∞, 12) ∪ (12, ∞)

(e) x-intercept is at x = -6, which is the point (-6, 0)

(f) The y-intercept is at y = -0.5, which is the point (0, -0.5)

(g) A zeros of f, is x = -6

The possible given function is presented as follows;

[tex]f(x) =\mathbf{\dfrac{x + 6}{x - 12}}[/tex]

(a) When x = -2, we have;

[tex]f(-2) = \dfrac{(-2) + 6}{(-2) - 12} = \dfrac{4}{-14} = \mathbf{-\dfrac{2}{7}}[/tex]

Therefore;

The point ([tex]-\frac{2}{7}[/tex], -2) is on the graph, which gives;

(b) If x = 3, we have;

[tex]f(3) =\mathbf{ \dfrac{3 + 6}{3 - 12}} = \dfrac{9}{-9} =-1[/tex]

(c)  If f(x) = 2, we have;

[tex]f(x) =2 = \mathbf{ \dfrac{x + 6}{x - 12}}[/tex]

2·(x - 12) = x + 6

2·x - x = 6 + 2 × 12 = 30

x = 30

(d) The  domain which is the list of possible x-values, which is expressed as follows;

Domain; -∞ < x < 12, and 12 < x < ∞

Which gives;

(e) The x-intercepts are;

[tex]0 = \mathbf{ \dfrac{x + 6}{x - 12}}[/tex]

(f) The y-intercept

[tex]At \ the \ y-intercept, \ f(x) = \dfrac{0 + 6}{0 - 12} = -\dfrac{1}{2} = \mathbf{ -0.5}[/tex]

(g) The zeros of the graph, f, are the points at which the graph crosses the x-axis which at the point x = -6

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The reflection mapping of the equation p(-2, 4) is [tex]\mathbf{R_{y =1}(P)=(-2,-2)}[/tex]

To solve this question, we must understand what is reflection mapping is all about.

In mathematical concepts, a reflection is indeed a mapping via a Euclidean plane to itself. The isometry of this usually has a hyperplane with designated fixed points that are commonly referred to as axis.

From the given information, we have:

The given points P = (-2, 4)

Required to find:

[tex]\mathbf{R_{y =1}(P)}[/tex]

Hence, the image of P under the axis(point of reflection line) is y = 1

Thus,

[tex]\mathbf{(x,y) = (x,2k-y)}[/tex]

[tex]\mathbf{(x,y) = (-2,2(1)-4)}[/tex]

[tex]\mathbf{(-2,4) = (-2,-2)}[/tex]

Therefore, we can conclude that the [tex]\mathbf{R_{y =1}(P)=(-2,-2)}[/tex]

Learn more about reflection mapping here:

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Answer:

The Answer is C 165$

Step-by-step explanation:

Final price = original price x ((100 - % off) / 100)

final price = 220 x ((100 - 0.25) / 100)

Answer:

Step-by-step explanation:

area formula

Using diagonals:  A =  (d1 × d2) : 2

we use the inverse formula

A * 2 : d1

225 * 2 : 15 =

30cm

--------------------

check

15 * 30 : 2 = 225

the answer is good

Answer:

put it in the formula

Step-by-step explanation:

Answer:

3p²+2p-8

3p²+6p-4p-8

3p(p+2)-4(p+2)

= (3p-4)(p+2)

Answer:

Area shaded ≈ 30.92

Area shaded in terms of π = 144 - 36π

Step-by-step explanation:

Square:

Circle:

Subtract:

-Chetan K

Answer:

Domain:(∞,-∞)

Step-by-step explanation:

Well, I think this is correct because (-3,3) defines the limit. The parabola shows that there are infinite ranges of values within it. It is pretty much straightforward. All values must fit in from (-3,∞) to (-∞,3)
let me know if im wrong im just refreshing my thinking process at this moment.

Answer:

There is 1 cat to 3 pumpkins

1 : 3

1 to 3

[tex]\( \displaystyle \frac{1}{3} \)[/tex]

Step-by-step explanation:

A ratio says how much of one thing there is compared to another thing.

There are 2 cats and 6 pumpkins, so we say:

"There are 2 cats to 6 pumpkins"

Ratios can be shown in different ways:

Use the ":" to separate the values:   2 : 6

Use the word "to":   2 to 6

[tex]\textsf{write it like a fraction}:\ \( \displaystyle \frac{2}{6} \)[/tex]

This ratio can be reduced to its simplest form by divide both numbers by 2.  So the ratio in its simplest form is:

There is 1 cat to 3 pumpkins

1 : 3

1 to 3

[tex]\( \displaystyle \frac{1}{3} \)[/tex]

Answer:

what type of triangle is this ?

Step-by-step explanation: