HELPPP IM STUCK ON THIS

please see the photo down below it shows the work and answer

Given:

The figure of a triangle.

To find:

The measure of angle 1.

Solution:

Exterior angle theorem: In a triangle, the measure of an exterior angle of a triangle is equal to the sum of two opposite interior angles.

Using Exterior angle theorem, we get

[tex]101^\circ =31^\circ +m\angle 1[/tex]

[tex]101^\circ -31^\circ =m\angle 1[/tex]

[tex]70^\circ =m\angle 1[/tex]

Therefore, the measure of angle 1 is 70 degrees.

Answer:

It's B

Step-by-step explanation:

B makes the most sense to me

Answer:

Natural numbers , whole numbers, Integers

Answer:

Leading coefficient is the coefficient of the highest power of x.

[tex]x^5[/tex] is the highest power.

Therefore, leading coefficient = [tex]\frac{1}{4}[/tex]

Option D

Answer:1/4

Step-by-step explanation:

Answer:

A) -33 is yr answer.

Answer:

A) [tex] - 33[/tex]

Step-by-step explanation:

[tex][{(−4+3) \times (4+2)−5} \times 3][/tex]

[tex]{[−1 \times (4+2)−5} \times 3][/tex]

[tex](−1 \times 6−5) \times 3[/tex]

[tex](−6−5) \times 3[/tex]

[tex]−11 \times 3[/tex]

[tex] - 33[/tex]

Given:

The equation of parallel line is:

[tex]3x-2y=5[/tex]

The required line passing through the midpoint of the line segment joining the points (-4,2) and (2,4).​

To find:

The equation of required line.

Solution:

Midpoint of  line segment joining the points (-4,2) and (2,4) is:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{-4+2}{2},\dfrac{2+4}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{-2}{2},\dfrac{6}{2}\right)[/tex]

[tex]Midpoint=\left(-1,3\right)[/tex]

It means the required line passes through the point (-1,3).

The slope of line [tex]Ax+By=C[/tex] is:

[tex]m=\dfrac{-A}{B}[/tex]

The given equation is:

[tex]3x-2y=5[/tex]

Here, A=3 and B=-2. So, the slope of the line is:

[tex]m=\dfrac{-3}{-2}[/tex]

[tex]m=1.5[/tex]

Slope of parallel lines are same. So, the slope of the required line is 1.5.

The required line passes through the point (-1,3) with slope 1.5. So, the equation of the line is:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-3=1.5(x-(-1))[/tex]

[tex]y-3=1.5(x+1)[/tex]

[tex]y-3=1.5x+1.5[/tex]

Adding 3 on both sides, we get

[tex]y=1.5x+1.5+3[/tex]

[tex]y=1.5x+4.5[/tex]

Therefore, the equation of the required line is [tex]y=1.5x+4.5[/tex].

Answer:

Reflected across x-axis followed by a dilation with a scale factor of 2 about the origin.

Step-by-step explanation:

It's clear from the graph,

Polygon ABCDE is reflected across x-axis then dilated so that it overlaps polygon A'B'C'D'E'

Let's choose a point A having coordinates (-2, -1)

By reflecting point A across x-axis,

Rule to be followed for the reflection,

(x, y) → (x, -y)

By this rule, coordinates of the image point A will be,

A(-2, -1) → A"(-2, 1)

Now point A"(-2, 1) has been dilated by a scale factor = k to form an image points A'(-4, 2).

Rule for the dilation of a point about the origin is,

A"(x, y) → A'(kx, ky)

A"(-2, 1) → A'(-2k, k)

Since, coordinates of point A' are (-4, -2),

Therefore, -2k = -4

k = 2

k = 2

Hence, polygon ABCDE was reflected across x-axis followed by a dilation with a scale factor of 2 about the origin to form polygon A'B'C'D'E'.

Answer:

it will decrease

Step-by-step explanation:

if theres not enough food water, ect for all 55 to survive and only enough to support 40 wolves they will die down

Answer:

It will decrease

Step-by-step explanation:

There are 55 wolves means the wolf population will decrease as the place have only sufficient resources to 40 wolves and will eventually die.

I think this is the answer.

Answer:

last option:  y = 1/6x+3; y = 1/2x+3

Step-by-step explanation:

6y = x + 18

Solve the above for 'y' to get:

y = 1/6x + 3

2y - x = 6

Solve the above for 'y' to get:

2y = x + 6

y = 1/2x + 3

Answer:

140x+420

Step-by-step explanation:

7(x+3)20

=140x+420

Answer:

14x+420

Step-by-step explanation:

7(x+3)(20)

=140x+420

Step-by-step explanation:

V = l.W.H

3(5)(4) = 60 units

The volume of rectangular prism is given by the product of its dimensions hence the correct option is 3(5)(4) = 60 units

A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder or a sphere. Different shapes have different volumes.

Given that, we need to determine the correct calculation for the volume of the prism,

We know that, the volume of a rectangular prism is the  product of its dimensions = length x width x height

Therefore, the correct formula is 3(5)(4) = 60 units

Hence, the correct option is 3(5)(4) = 60 units

Learn more about volumes, click;

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Answer:

36ft

Step-by-step explanation:

Answer

13ft

Step-by-step explanation:

4ft.+2ft.+5ft=2ft.=13ft

Answer:

x3-6x2+32

Step-by-step explanation:

Answer:

[tex]Pr = \frac{1}{2}[/tex]

Step-by-step explanation:

Given

[tex]S = \{1,2,3,4,5,6\}[/tex] --- the faces of the dice

[tex]n(S) = 6[/tex]

Required

Pr(Multiple of 8)

The multiples of 8 in the given dataset are:

[tex]Multiples = \{1.,2,4\}[/tex]

[tex]n(Multiples) = 3[/tex]

So, we have:

[tex]Pr = \frac{n(Multiples)}{n(S)}[/tex]

[tex]Pr = \frac{3}{6}[/tex]

Simplify

[tex]Pr = \frac{1}{2}[/tex]

Answer:

a

Step-by-step explanation:

Given:

Chang ran three times last week. The distances he ran (in kilometers) are 4, 8.36, 18.9.

To find:

The total distance Chang ran on these three days.

Solution:

It is given that the distances he ran (in kilometers) are 4, 8.36, 18.9.

We need to add these three distances to get the total distance Chang ran on these three days.

[tex]4+8.36+18.9=31.26[/tex]

Therefore, the total distance Chang ran on these three days is 31.26 kilometers.

9514 1404 393

9514 1404 393

Answer:

  a)  P = -28(x -112)² +7500

  b) $102.55 or $121.45

Step-by-step explanation:

a) A quadratic relation with a maximum of 7500 at x=112 can be written in vertex form as ...

  P = a(x -112)² +7500

The other given point (x, P) = (89, -7312) can be used to find the value of 'a'.

  -7312 = a(89 -112)² +7500

  -14812 = a(529)

  a = -14812/529 = -28

So, the desired quadratic relation is ...

  P = -28(x -112)² +7500

__

b) The values of x that make P = 5000 can be found from ...

  5000 = -28(x -112)² +7500

  -2500 = -28(x -112)² . . . . . . . . subtract 7500

  89.286 = (x -112)² . . . . . . . . . . . divide by -28

  ±9.45 = x -112 . . . . . . . . . . take the square root

  x = 112 ± 9.45 = {102.55, 121.45}

Setting the price at about $102.55, or $121.45, will yield a profit of $5000.

Answer:

Step-by-step explanation:

980

Answer:

17/12 or 1 5/12

Step-by-step explanation:

You need to make the denominators the same, the common denominator is 12. In the end, they become 9/12 and 8/12. ad those to you get 17/12 or 1 5/12. Was this helpful?

Answer:

=17/12

Step-by-step explanation:

Get a common denominator between the two fractions.

Common denominator will be 12

Multiple 2/3 by 4 (top and bottom) to get 8/12

Multiply 3/4 by 3 (top and bottom) to get  9/12

Add the numerators of both fractions (8+9=17)

final fraction is 17/12 (denominator stays the same)

Answer:

B: 8

Step-by-step explanation:

The area of the two smaller squares equals the area of the big square so find the area to the big square

17 * 17 = 289

289 - 225 = 64

The square root of 64 is 8 so the answer is 8.

Answer:

5= - 7/6

Hope this helps

slope = "rise over run"  (the change in y coordinates divided by the change in x coordinates) =

(8--7)/(3-7) = 15/-4 = -15/4