What is the slope of the line on the graph?



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Answer:

∠1 = 81°

Step-by-step explanation:

∠1 and 81° are corresponding angles and corresponding angles are equal to each other.

The measure of ∠1 in the figure is 81°.

Angles are the figure formed by the intersection of two lines or rays by sharing a common point. This point is called the vertex of the angle.

Angles are usually measured in degrees or radians.

Given is a figure of two parallel lines which is cut by a transversal line.

There are many properties for the angles formed by the transversal lines.

One of the property is that corresponding angles are equal.

Corresponding angles are the pair of angles which are on the same side of each parallel lines and at the same side of the transversal but at different intersections.

In the given figure,

∠1 and 81°, ∠3 and ∠7, ∠2 and ∠6, ∠4 and ∠8 are corresponding angles.

Since ∠1 and 81° are corresponding angles ∠1 = 81°.

Hence, measure of angle 1 is 81 degrees.

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Answer:

a) by finding the incentre

b) 5 km

Step-by-step explanation:

Let the communities A, B and C be shown by the three points of the triangle as shown in the figure below. As the angle between the path Ab and Ac is 45 degrees this is an isosceles triangle having two angles equal. As this is an isosceles triangle it must also have two sides equal .

a) the in center   point can be used to  have equal distance to the path linking each communities.

We take a compass and draw arcs on the two sides of the vertex and placing the compass on the arcs bisect each angle made by the triangles arms.

Joining the bisectors the lines meet at a point which is highlighted by a circle in the diagram.

This is the incentre which is equidistant from each vertex.

b) Using Pythagorus theorem

c² = a² + b²

7²= 5² + b²

b²= 24

b= 4.89= 5 km

The path between B and C is also 5 km.

Answer:

2(4x+x)

Step-by-step explanation:

Answer: Cost per pair of jeans = $ 20

Cost per pair of shorts = $12

Cost per shirt = $8

Step-by-step explanation:

Let x= cost per pair of jeans

y = Cost per pair of shorts

z= cost per shirt.

For you, total cost = x+4y+2z= 84

For your friend,  total cost = 2x+y+3z=76

For cousin, total cost = x+2y+z= 52

Required system:

[tex]x+4y+2z=84\ (i)\\ 2x+y+3z=76\ (ii)\\ x+2y+z=52\ (iii)[/tex]

from (i), [tex]x=84-4y-2z[/tex]    (*)

put this in (ii) and (iii) we get

[tex]2\left(84-4y-2z\right)+y+3z=76\\\Rightarrow\ -7y-z+168=76\ (iv)\\\\ 84-4y-2z+2y+z=52\\\Rightarrow\ -2y-z+84=52 \ (v)[/tex]

from (iv), [tex]y=-\frac{z-92}{7}\ (vi)[/tex]

[tex]\mathrm{Subsititute\:}y=-\frac{z-92}{7}\ \text{in}\ (v)[/tex]

[tex]-2\left(-\frac{z-92}{7}\right)-z+84=52\\\\\Rightarrow\ -2\left(-\frac{z-92}{7}\right)-z=-32\\\\\Rightarrow\ -\frac{5z}{7}-\frac{184}{7}=-32\\\\\Rightarrow\ -5z-184=-224\\\\\Rightarrow\ -5z=-40\\\\\Rightarrow\ z=8[/tex]

[tex]\mathrm{Subsititute\:}z=8\text{ in (vi)}[/tex]

[tex]y=-\frac{8-92}{7}\\\\\Rightarrow \ y=12[/tex]

[tex]\mathrm{Subsititute\:}z=8,\:y=12\text{ in (*)}[/tex]

[tex]x=84-4\cdot \:12-2\cdot \:8\\\\\Rightarrow\ x= 20[/tex]

Hence, x= 20, y= 12 , z=8

So, Cost per pair of jeans = $ 20

Cost per pair of shorts = $12

Cost per shirt = $8

15.50 x 20 = $310

31 x 8 = $248

310 + 248 = $558

Her total pay for the week is $558.

Hope you got a good grade!!! :)

Answer:

2x10^15x^2

Step-by-step explanation:

Answer:

47,141

Step-by-step explanation:

I'm pretty sure that's right. Hope I helped <3

Answer:

Its this $47,141

Answer: it amazing

Step-by-step explanation:

Answer:

Step-by-step explanation:

5x498x56=139,440

Answer:

The answer is 4.

Step-by-step explanation:

In her solution, there is an error in step 4. She used the multiplication property of equality but its a division property.

Given that,
A solution is given, we have to review the solution and mark the steps that contain an error.

In mathematics, it deals with numbers of operations according to the statements.

Here,

In the solution, every step is accurate and correct, except for step 4. she divided the equality by 40 and she wrote the step as multiplication property of equality which is wrong the correct statement for step 4 is the division property of equality.

Thus, in her solution, there is an error in step 4. She used the multiplication property of equality but its a division property.

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Answer:

$400

Step-by-step explanation:

If you go to the left of the graph from the line, it gets you to 400.

Answer:

$400

Step-by-step explanation:

Answer:

15 is the answer

Answer:

15

Step-by-step explanation:

Multiply the length of the flagpole's shadow by your height, and then divide the resulting number by the length of your shadow.

(24x5)/8

120/8

15

please mark as brainliest!!!

Answer:

3p +2c greater than 120. 120∠ 2c + 3p

Step-by-step explanation:

I think this is your answer but, i'm not so sure.

Answer:

thirty............................... sorry it wouldnt let me answer without "20 characters"

Answer:

53.658

Step-by-step explanation:

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Given expression:

         3(-4x + 5) = 12

To solve for x;

  Use the distributive property to open the parentheses;

     3(-4x) + 3(5) = 12

      -12x + 15 = 12

 then, add -15 to both sides;

    -12x + 15 + (-15) = 12 + (-15)

            -12x  = -3

  divide both sides by -12;

        [tex]\frac{-12x}{-12}[/tex]   = [tex]\frac{-3}{-12}[/tex]

           x  = [tex]\frac{1}{4}[/tex]

Answer:

it is either 23 or 24 its kinda hard to tell.

Step-by-step explanation:

Answer:

15 degrees

Step-by-step explanation:

Answer:

12+2d

Step-by-step explanation:

e=5+d

f=d-7

e-f = 5+d-(d-7)

e-f = 12+2d

The solution of expression e - f is,

⇒ e - f = 12 + 2d

We have to given that,

e is 5 more than d.

And, f is 7 less than d.

Hence, It can be written as,

e is 5 more than d.

⇒ e = 5 + d

And, f is 7 less than d.

⇒ f = d - 7

So, We get;

e - f = (5 + d) - (d - 7)

Combine like terms,

e - f = 12 + 2d

Therefore, The solution of expression e - f is,

⇒ e - f = 12 + 2d

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Answer:

gcf of 6 and 15 is 3

Step-by-step explanation:

multiples of 6 are 6, 12, 18, 24, 30, 36, 42, and 48

multiples of 15 are 1, 2, 3, 6, 9, 18

Answer:

For one minute it costs $1.18 so you would just multiply $1.18 by any number to find out how much money is spent for minuets,

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

n -8 = 6+n

Subtract n from each side

n-n -8 = 6+n-n

-8 = 6

This is never true so there is no solution

Answer:

n = -14

Explanation:

-8 = 6 + n

move n over to the left side of the equation

-8 - n = 6

-8 - (-14) = 6

1. The total amount of candy is 1,080 pieces of candy.

2. Each student would get 72 pieces of candy.

Answer:

each student will get 5 pieces of candy

Step-by-step explanation:

20+15+25+12 =72

72 divided by 15 = 5

Answer:

9x^2-24x+16

Step-by-step explanation:

(3x-4)(3x-4)

FOIL

9x^2-12x-12x+16

9x^2-24x+16

Answer:

He has 22 students

Step-by-step explanation:

45 divided by 2 is 22 with 1 left over

Answer:250

Step-by-step explanation:

Answer:

0.5%

Step-by-step explanation:

8/1600= 0.005 = 0.5%