What equation matches this situation?
—John wants to buy an MP3 Player that costs $30. How much change did he receive
if he gives the cashier $40–

Answer:

∠ ABD = 124°

Step-by-step explanation:

A linear pair of angles sum to 180°, thus

∠ ABD + ∠ CBD = 180 , substitute values

3x + 31 + 2x - 6 = 180, that is

5x + 25 = 180 ( subtract 25 from both sides )

5x = 155 ( divide both sides by 5 )

x = 31

Thus

∠ ABD = 3x + 31 = 3(31) + 31 = 93 + 31 = 124°

Answer:

y = -5x + 7

Step-by-step explanation:

Given that the location of the points are:

A(-4, 1), B(6, 3), C(-1, -5) and D(5, -1)

The location of the bisector of a line is given as:

[tex]x=\frac{x_1+x_2}{2} \\\\y=\frac{y_1+y_2}{2}[/tex]

If E(x1, y1) is the bisector of segment AB then the location of E is at:

[tex]x_1 =\frac{-4+6}{2}=1 \\\\y_1=\frac{1+3}{2}=2[/tex]

Hence E is at (1, 2)

If F(x2, y2) is the bisector of segment CD then the location of F is at:

[tex]x_2 =\frac{-1+5}{2}=2 \\\\y_2=\frac{-5-1}{2}=-3[/tex]

Hence F is at (2, -3)

Hence the line that is a segment bisector of both AB and CD pass through the point (1, 2) and (2, -3).

The equation of the line is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-2=\frac{-3-2}{2-1}(x-1)\\ \\y-2=-5(x-1)\\\\y-2=-5x+5\\\\y=-5x+7[/tex]

Answer: The equation is: y = -5x + 7.

Step-by-step explanation:

Given that the location of the points are:

A(-4, 1), B(6, 3), C(-1, -5) and D(5, -1).

Midpoint of A(-4, 1), B(6, 3) is = [tex]\left(\frac{\left(-4+6\right)}{2},\frac{\left(1+3\right)}{2}\right)=(1,2)[/tex].

Midpoint of C(-1, -5) and D(5, -1) is [tex]\left(\frac{\left(-1+5\right)}{2},\frac{\left(-5-1\right)}{2}\right)=(2,-3)[/tex].

Using point slope formula:

[tex]\frac{y-2}{x-1}=\frac{-3-2}{2-1}\\\frac{y-2}{x-1}=-5\\y-2=-5x+5\\y=-5x+7[/tex]

Learn more: https://brainly.com/question/1594198

Answer:

Step-by-step explanation:

It's given in this question,

Length of side AB = length of side CD = 5 units

Length of side BC = length of side AD = 2 units

If the given quadrilateral is translated lengths of all the image sides will not be equal because translation of a figure is a rigid transformation.

And in rigid transformations length of the sides and the angles between the sides never change.

Answer:

first is 5 second is 2 then the third on is 5 then last on is 2 so the order should be 5,2,5,2  Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

its 8 i think but i need more info

Step-by-step explanation:

Answer:

irrational are all square roots. rattional numbers are the decimals. If it has a pie, that means that is also irrational. So decimal are rational numbers. Square roots are all irrational number.

Step-by-step explanation:

Answer:

35 in per day         Step-by-step explanation:

Answer:

whats the question lol ?

Step-by-step explanation:

b is the correct answer because it equals the amount of the proplem

Answer:

its C.

Step-by-step explanation:

Answer:

idk how to answer

Step-by-step explanation:

i need more info

Answer:

127 degrees

Step-by-step explanation:

it obtuse

Answer:

A: all real numbers

and

B: All real numbers greater than or equal to -2

Step-by-step explanation:

edg2021

The domain refers to values on the X-axis, and as you can see there are arrows on the orange line, meaning it goes on "forever". This is all real numbers.

The y-axis (range) has the line go through at -2. The line is pointing up, which means all the numbers are greater than -2, or could be equal to -2.

Answer:

lA: all real numbers

B: All real numbers greater than or equal to -2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

3 + -5

Adding -5 is like subtracting 5

3 -5

-2

Answer:

-2

Step-by-step explanation:

You need to add a positive number and a negative number.

This is how you add a positive number and a negative number.

First, get rid of the signs and make them both positive.

Now you have 5 and 3.

Do a subtraction the way you first learned subtraction in elementary school, which is the larger number minus the smaller number.

5 - 3 = 2

The answer is either 2 or -2.

To finish the original addition, look at the two original numbers. 5 is greater than 3. 5, the greater value, is on a negative number, so the answer is negative.

3 + (-5) = -2

9514 1404 393

Answer:

  see the attachment

Step-by-step explanation:

Each point is moved 4 units up and 5 units right, as required by the problem statement.

Coordinates are positive in the "up" and "right" directions, so we take "4 units vertically" to mean +4 units, or 4 units up. Likewise, we take "5 units horizontally" to mean +5 units, or 5 units to the right.

Answer:

Step-by-step explanation:

Number of cars sold in April:

Desired increase rate:

Increase in number:

Number of cars to be sold in May:

Answer:

237

Step-by-step explanation:

Answer:

Step-by-step explanation:

4x-7≤-1

4x≤-1+7

4x≤6

2x≤3

[tex]x \leq \frac{3}{2}\\or~x \leq 1.5[/tex]

Answer:

36

Step-by-step explanation:

First of all, the area of a circle is always pi(r)^2, which we can then substitute values. We will get pi(10)^2, and once we simplify that, we get 100pi as the area. Since we know that the area of the shaded sector is 10 pi, we can divide 10pi by 100pi to get 1/10. 1/10 is the area of the shaded sector compared to the area of the whole circle. Multiply 1/10 by the angle measure of a circle, which is 360, to get 36 degrees.

Answer:

36

Step-by-step explanation:

The answer is 36 trust me

Answer: 4x^3-38x^2+88x

Step-by-step explanation:

The volume of the box in standard form is 4x³ - 38x² + 88x

Since Janelle cuts a square of side length x out of each corner of the cardstock, we have a length x + x = 2x cut out of each dimension of the cardstock.

Since the dimensions of the cardstock are 8 inches by 11 inches, cutting out a length of 2x inches from each dimension to produce the length, L and width, w of the open box, we have the length of the open box, L = 8 -2x and the width of the open box, W = 11 - 2x.

Since the height of the open box is the length x of the square cut out of each corner, and the open box is a rectangular box,

So, the volume of the box is

V = LWx

Substituting the values of the variables into the equation, we have

V = LWx

V = (8 - 2x)(11 - 2x)x

Expanding the brackets, we have

V = (88 - 16x - 22x + 4x²)x

V = (88 - 38x + 4x²)x

V = 88x - 38x² + 4x³

Re-arranging, we have

V = 4x³ - 38x² + 88x

So, the volume of the box in standard form is 4x³ - 38x² + 88x

Learn more about volume of an open box here:

https://brainly.com/question/2281561

Answer:

no the answer should be 11

Step-by-step explanation:

Answer:

-18n+20n^2

you just have to distribute

Answer:

The square root property may be applied only if the constant is positive

Step-by-step explanation:

Defenitly sure because I did ASAP also! Your Welcome! Please Mark me Brainliest!

Answer:

4.5sqrt5

Step-by-step explanation:

Answer: 33,39

Step-by-step explanation:

Counting by 6's

Step-by-step explanation:

texas is big,  louisiana is on the bottam side u have to give me a brainly

Answer:

28

Step-by-step explanation:

We substitute all of the x's for threes to get the output.

f(3)= 3(9)-(2*3)+7

f(3)= 27-6+7

f(3)= 21+7

f(3)= 28

Answer:

1.

Step-by-step explanation:

Since the line segment FH bisects angle EFG, angle HFG = Half of Angle EFG.

Angle EFG = 177 - 9x. Angle HFG = 92 - 8x.

177 - 9x = 2(92 - 8x)

177 - 9x = 184 - 16x

7x = 7

x = 1.

Step-by-step explanation:

x=85 hope it helps you. mark as brilliant

The answer to your problem is 37.