Question one, how do you solve this? "A, B, and C are collinear. Find AC if AB = 12 and BC = 8"

Question two, can anyone solve these two problems i attached? They use Segment Addition and Angle Addition Postulates.

Answer:

[tex]y=\frac{3}{8}x+11[/tex]

Step-by-step explanation:

To find a line that is perpendicular to 8x + 3y = -6 and goes through (-24, 2), lets first find what the line's slope would be.

We can find this by finding the slope of 8x + 3y = -6 and taking the negative reciprocal of it.

We can find the slope of that line by putting it in slope-intercept form:

8x + 3y = -6

Subtract 8x from both sides.

3y = -6 - 8x

Divide both sides by 3.

[tex]y=-\frac{6}{3}-\frac{8}{3}x[/tex]

[tex]y=-\frac{8}{3}x-2[/tex]

So the slope of that line would be -8/3.

The negative reciprocal of -8/3 would be 3/8.

Now we know that the new line would have to pass through the point (-24, 2). We can use this point and write the equation in point-slope form:

[tex]y-2=\frac{3}{8}(x+24)[/tex]

Now lets change this into slope-intercept form. Add 2 to both sides.

[tex]y=\frac{3}{8}(x+24) +2[/tex]

Distribute the 3/8.

[tex]y=\frac{3}{8}x+9+2[/tex]

Simplify.

[tex]y=\frac{3}{8}x+11[/tex]

And now we have our equation in slope-intercept form.

I hope you find this helpful.

Answer:

[tex]x=-2[/tex]

Step-by-step explanation:

So we have the function:

[tex]f(x)=3x-8[/tex]

And we want to solve for x if f(x) is -14.

So, substitute -14 for f(x):

[tex]-14=3x-8[/tex]

Add 8 to both sides:

[tex]-6=3x[/tex]

Divide both sides by 3:

[tex]x=-2[/tex]

And we're done!

Answer:

The value of x is -2 .

Step-by-step explanation:

You have to solve it by doing comparison :

[tex]f(x) = 3x - 8[/tex]

[tex]f(x) = - 14[/tex]

[tex]3x - 8 = - 14[/tex]

[tex]3x = - 14 + 8[/tex]

[tex]3x = - 6[/tex]

[tex]x = - 6 \div 3[/tex]

[tex]x = - 2[/tex]

Answer:

3000

Step-by-step explanation:

Tony will donates $3000 after 5 years.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Donated amount= $1000

Tony is able to donate 3/2 times the amount that Theresa donates.

let Theresa donates x dollar each year

So, x+ 3/2x = 1000

5x/2 = 1000

5x = 2000

x= 400

Thus, Tony donate = 3/2 x 400 = $600

Hence, After 5 years Tony will donate= 600 x 5= $3000

Learn more about Algebra here:

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Answer: A, 6

Step-by-step explanation:

Edg

Answer:

negative

best of luck!

The sign of the expression is Negative, the correct option is B.

An expression is a mathematical statement which consists of variables, constants and mathematical operators.

The expression is

39 11/13 + (-41 1/13)

[tex]=\rm 39\dfrac{11}{13} -41\dfrac{1}{13}\\\\=\dfrac{518}{13} - \dfrac{534}{13}\\\\=\dfrac{ 518 - 534} {13}\\\\=\dfrac{ -16}{13}\\\\=- 1 \dfrac{3}{13}[/tex]

To know more about Expression

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Answer:

A vertical reflection is given by the equation y=−f(x) y = − f ( x ) and results in the curve being “reflected” across the x-axis. A horizontal reflection is given by the equation y=f(−x) y = f ( − x ) and results in the curve being “reflected” across the y-axis.

6(9+5)

Step-by-step explanation:

Answer: the answer is -2

Step-by-step explanation: use slope formula

Answer:

4

Step-by-step explanation:

4 (First piece)

4*2=8(Second piece)

4*4=16

16+8+4=28

Answer: (-28,-4)  

Step-by-step explanation:

Multiply the x and y coordinate values by the scale factor to find the image.

-7 * 4 = -28  

-1 * 4 = -4

(-28,-4)

5430. Since 2 is smaller than 5, we will not round 32 to 40.

Answer:

Hey there!

The domain, or possible x values are (-4, -1, 2, 9).

The range, or possible y values are (-3,  0, 6)

Let me know if this helps :)

Answer:

Domain: { -4, -1, 2,9}

Range: {-3, 0, 6}

Step-by-step explanation:

Domain is the x-values and range are the y-values. You can write it out in an x, y table to be able to see it better. Like shown below,

x         y

-1        6

2         0

9         -3

-4         6

If you need further explanation let me know, but I hope this helps!

Have a great day!

Answer:

B; The second answer

Step-by-step explanation:

The question is asking about the associative property of addition. This involves the rearranging of the parenthesis. If you were to solve the given equation, and solve the the answer, then you will get the same answer. In this property, it says that you will get the same result if you were to move/switch the parenthesis from the values; This means that order doesn't matter.

Answer:

Step-by-step explanation:

First you have to split the shape into 2. I split the box so that the little one's length is Z and width is x. Find the area of both boxes:

Box 1:

Z x X = ZX

Box 2:

Y x (Z + X) = Y(Z + X)  

So the overall area of the box is:

ZX + Y(Z + X)

I'm not quite sure how to explain this without pictures to show you but i hope this helps. Let me know if you have any questions

Answer:

see below

Step-by-step explanation:

She got 3 questions wrong

3*5 = 15

She missed 15 points

40-15 = 25

She got 25 points right

25/40 =.625 =62.5%

If she got x questions wrong

5x is the points missed

40 -5x is the points correct

(40-5x)/40 = score  

Answer:

25pts

Step-by-step explanation:

Answer:

Right now its a parallelogram

Step-by-step explanation:

If you want to make it a square then just move the dots

im pretty sure thats right, if not sorry

Answer:

f(x+6)= 3x + 30

Step-by-step explanation:

Whenever you have to evaluate a function with a certain value, replace the variable x with a certain value. In this case, substitute x with the value of (x+6). You get the equation f(x+6)= 3(x+6) + 12, which simplifies into f(x+6)= 3x + 18 +12, which further simplifies into f(x+6)= 3x + 30.

Step-by-step explanation:

How to check a solution: Just as you can check the solution to an equation, you can check a solution to an inequality. First, you check the end point by substituting it in the related equation. Then you check to see if the inequality is correct by substituting any other solution to see if it is one of the solutions.

How to tell if its true or false: An inequality is a statement that shows the relationship between two (or more) expressions with one of the following five signs: <, ≤, >, ≥, ≠. Like an equation, an inequality can be true or false. 34 - 12 > 5 + 2 is a true statement. 1 + 3 < 6 - 2 is a false statement.

Answer:

c

Step-by-step explanation:

tHE ANSWER IS C

-3+-7....The answer is minus 10

Answer:

C: 75%

D. 0.75

Step-by-step explanation:

Both numbers are the same and they both are equivalent to 3/4.

Answer:

For question 9 = 54

Step-by-step explanation:

54 + 67 = 121

67 - 54 = 13

Answer:1.)k+2x  2.)54  3.) i think is n+n=145

Step-by-step explanation:

Problem 2

Plot point L anywhere that isn't on segment JK. Draw a line through point L. I find it helps to make the lines parallel.

Next, use a compass to measure the width of segment JK. Keeping this same width, transfer the nonpencil end of the compass to point L. Draw an arc that crosses the line through L.

Mark this intersection point M. Lastly, use a pen or marker to form segment LM and erase everything else of that line.

======================================================

Problem 3

The ideas of the previous problem will be used here. We copied segment JK to form congruent segment LM. So JK = LM.

The same steps will be used to form segment GN where GN = EF. In other words, segment GN is a perfect copy of segment EF.

If you repeat these steps again, you'll get another segment of the same length. This segment goes from point N to point H. So NH = GN = EF

Then we can say,

GH = GN + NH

GH = EF + EF

GH = 2*EF

Answer:

Step-by-step explanation:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(1-11)^2+(3-10)^2}=\sqrt{(-10)^2+(-7)^2}=\sqrt{149}\\\\d=12.2065...\approx12.2[/tex]

Answer: S > =85000

Reason: its says "atleast"

Answer:

d

Step-by-step explanation:

its inverse so it will be the oppisite of 2/5

Answer:

65

Step-by-step explanation:

40 + 75 = 115

180 - 115 = 65

Answer:

x=65

Explaination

x+75+40=180

or,x+ 115=180

or, x=180-115

or x= 65

Answer:

10x

X = Months

10 = letters each month