Select all that apply to a segment bisector.


A segment bisector intersects anywhere.


A segment bisector intersects at the midpoint.


A segment bisector cuts the segment into two equal pieces.


A segment bisector can bisector line.

Explanation:

Segment AW bisects angle CAD.

This leads to the smaller pieces (angles CAW and DAW) to be equal to one another. Both are 20 degrees each. That totals to 20+20 = 40 degrees.

Therefore, angle CAD = 40 degrees.

The supplement of this is angle DAX

(angle CAD) + (angle DAX) = 180

angle DAX = 180 - (angle CAD)

angle DAX = 180 - 40

angle DAX = 140 degrees

1a) Firstly, lets start by expanding the brackets. x × x is x². So x(x+1) = x² + x. Then we do the second part. 2 × x = 2x and 2 × 1 = 2. Now we have

x² + 3x + 2.

Now what we do is simplify through quadratic formula. We look at the last digit which is 2. What two numbers multiplies to give you 2? 2 and 1. 2 x 1 = 2 and 2 + 1 = 3. Our second number is 3 so this is the right amount. so now we just put the two factors together. (x + 1)(x+2). This is the answer.

b) I have explained above and so am just gonna write the answers. After expanding we get x² + 2x + 1. We get simplify to

= (x + 1)(x+1)

c) y² + 3y + 4. This cannot be simplified into the format so we leave it like this.

d) = 0.

Have a go at the last ones by yourself, if you still need help, I am available!

Answer:

$250,000 is liabilities and $250,000 is equity

Step-by-step explanation:

Since the total assets are split between liabilities and equity with them being equal, we can divide 500,000 by 2 to get $250,000 for both the liabilities and equity.

Brainliest would be appreciated!

Answer:

b. Normal data is never one of the inference assumptions.

Step-by-step explanation:

A categorical data specifies among two or more groups, which one each observation belongs to, and one or more explanatory variables that can be used to predict this membership.

So, there are two propositions in statistical inference for categorical data

1. That each data in a cell is independent of the others.

2. That samples are randomly drawn.

Thus, there is no room for normality.

EF = JK

FG = KL

LJ = GE

Here you go.

the answer is D

The figure can be divided into a rectangle and 2 triangles

Answer:

I recommend to do your note

Step-by-step explanation:

Answer:

B 33

Step-by-step explanation:

Answer:

about 10 my boy

Step-by-step explanation:

big big big

Given a table that shows values for a linear function, f(x). we are asked to determine the equation of f(x).

Table:

x f(x)

-1 -8

3 -5

7 2

11 1

First, let us consider the lines of the equation as:

f(x) = ax + b

When x = -1 f(x) = -8

f(-1) = a(-1) + b

-8 = -a + b ------------------ eqn I

When x = 3 f(x) = 5

f(3) = a(3) + b

-5 = 3a + b ------------------- eqn II

subtract eqn I from eqn II:

-5 - (-8) = (3a + b) - (-a + b)

-5 + 8 = 3a + b + a - b

3 = 4a (-b and +b cancels out).

divide both sides by 4:

a = 3/4

Let's put the value of a = 3/4 into equation I

-8 = -a + b

-8 = -3/4 + b

make b the subject of formula:

b = -3/4 + 8

b = -32 + 3

4

b = -29/4

Let's now place the values of a an b into the lines equation:

recall the lines equation is :

f(x) = ax + b

f(x) = 3/4 x - 29/4.

Check the picture below.

notice the reflected gray line on the red one over the y=x line, the slope of either line across the y=x line is simply the other's upside-down.

\(\stackrel{\textit{slope of line "a"}}{a\implies \cfrac{a}{1}}\hspace{5em}\stackrel{\textit{slope of its reflection}}{\cfrac{1}{a}}\)

The mean value for exercise and video games is 4.14 and 8.35 respectively. Exercise has a mean value closer to 1.555.

What is mean?

By dividing the sum of the given numbers by the entire number of numbers, the mean—the average of the given numbers—is determined.

The dot plot for hours of Exercise is shown.

Convert the dot plot to frequency table.

X    Frequency

0     1                  

1      3                  

2     3                

3     2                

5     1                

7     2                

12    2                                                  

      n = 14

To find the mean of this dataset, add up all of the individual values and divide by the total sample size.

Mean = (Sum of Values)/ Number of values

Substitute the values in the equation -

Mean = [0 + 3(1) + 3(2) + 2(3) + 5 + 2(7) + 2(12)] / 14

Mean = (3 + 6 + 6 + 5 + 14 + 24) / 14

Mean = 58 / 14

Mean = 4.14

Therefore, the mean value is 4.14.

The dot plot for hours of Video games is shown.

Convert the dot plot to frequency table.

X    Frequency

0     1                  

6     2                  

7     1                

8     2                

9     2                

10    1                

11     2

12    2

14     1                                              

      n = 14

To find the mean of this dataset, add up all of the individual values and divide by the total sample size.

Mean = (Sum of Values)/ Number of values

Substitute the values in the equation -

Mean = [0 + 2(6) + 7 + 2(8) + 2(9) + 10 + 2(11) + 2(12) + 14] / 14

Mean = (6 + 7 + 16 + 18 + 10 + 22 + 24 +14) / 14

Mean = 117 / 14

Mean = 8.35

Therefore, the mean value is 8.35.

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Answer:

9 7/8

Step-by-step explanation:

1. 4 3/8 can be converted into the improper fraction 35/8, and 5 1/2 can be converted into 11/2.

2. Now that we have 35/8 + 11/2, we have to find a common denominator. Since 2 goes into 8 four times, we can turn 11/2 into 44/8 by multiplying the numerator and denominator (the top and the bottom numbers) by 4.

3. Now we have 35/8 + 44/8. At this point, the all we have to do is add the numerators (the top numbers). 35+44=79, so our answer is 79/8, which we can simplify to 9 7/8.

Answer:

He got an 80 percent.

Step-by-step explanation:

Answer:

9.4 miles approx.

Step-by-step explanation:

Answer:

9.4 miles to the nearest tenth.

Step-by-step explanation:

This run forms a right angled triangle with legs of 5 and 8 miles.

By Pythagoras:

x^2 = 8^2 + 5^2

x = √(64+25) = √89

x = 9.434 miles

Answer:

When rolling di.e #2, since we must roll a different odd number, the probability of doing so is 2/6 = 1/3. Thus, the probability is 1/2 x 1/3 = 1/6.

The 10,100 cards will be necessary to build a 100-story card tower.

To build a 100-story card tower, we can use the triangular number formula to calculate the total number of cards needed. The formula is:

Triangular number = (n * (n + 1)) / 2

In this case, n represents the number of stories in the tower (100). Plug in the value for n:

Triangular number = (100 * (100 + 1)) / 2
Triangular number = (100 * 101) / 2
Triangular number = 10,100 / 2
Triangular number = 5,050

Additionally, each story requires two cards, so we multiply the triangular number by 2 to get the total number of cards:

Total cards = 5,050 * 2
Total cards = 10,100

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The simplified value of the given expression (2x^3 + 3x + 7) / (x^2 + x + 10) is: the quotient will be 2x - 2 and the remainder will be -15x + 27.

Let us solve the given algebraic expression by the long division method:

We are given the expression:

(2x^3 + 3x + 7) / (x^2 + x + 10)

We need to perform the division of the given algebraic expression:

x^2 + x + 10  ) 2x^3 + 3x + 7 ( 2x - 2

                       2x^3 + 2x^2 + 20x

                     -         -            -        

                         -2x^2 - 17x + 7

                         -2x^2 - 2x  - 20

                         +        +       +          

                                  -15x + 27

So,

quotient = 2x - 2

remainder =  -15x + 27

Thus, the simplified value of the given expression (2x^3 + 3x + 7) / (x^2 + x + 10) is: the quotient will be 2x - 2 and the remainder will be -15x + 27.

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Answer:

14.92

Step-by-step explanation:

8.27+6.65=14.92

Brainliest?

Answer:

8.27+6.65=14.92

Answer:

No Solutions

Step-by-step explanation:

1. Substitute the 2x + 1 in for the y in the first equation. Rewrite it as 2x - (2x + 1) = 2.

2. Add the opposite and change the equation to 2x + -1(2x + 1) = 2.

3. Use the distributive to make the equation look like this: 2x + -2x + -1 = 2

4. Combine like terms and add 2x and -2x. They cancel each other out.

5. You will end up with -1 ≠ 2. Since -1 and 2 are not equal, there are no solutions.

Answer:

Answer = 1234567890

Step-by-step explanation:

288 ounces of water are left in the water tank.

What is arithmetic?

Arithmetic is an elementary part of mathematics that consists of the study of the properties of the traditional operations on numbers—addition, subtraction, multiplication, division, exponentiation, and extraction of roots

Here, we have

Given: Tom has a water tank that holds 5 gallons of water. tell me this is water for my footing to fill six bottles they each hold 16 ounces and a picture that holds one over 2 gallons.

1 gallon = 128 ounces, 2 gallon = 256 ounces

6 bottles × 16 ounces = 96 ounces

2 gallon + 96 ounces = 256 + 96 ounces = 352 ounces

5 gallon = 5 × 128 = 640 ounces

= 640 - 352 = 288 ounces

Hence,  288 ounces of water are left in the water tank.

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This point is below both the red diagonal line and the blue parabola. We know that the set of solution points is below both due to the "less than" parts of each inequality sign.  

In contrast, a point like (2,2) is above the parabola which is why it is not a solution. It does not make the inequality \(y \le x^2-3x\) true. So this is why we can rule choice A out.

Choice C is not a solution because (4,1) does not make \(y \le -x+3\) true. This point is not below the red diagonal line. We can cross choice C off the list.

Choice D is similar to choice A, which is why we can rule it out as well.

For the given parabola, the parts on the curve should be labeled as follows;

In Mathematics, the axis of symmetry of a quadratic function can be calculated by using the following mathematical expression:

Axis of symmetry, Xmax = -b/2a

Where:

a and b represents the coefficients of the first and second term in the quadratic function.

For the given quadratic function f(x) = y = x², we have the following:

Axis of symmetry, Xmax = -b/2a

Axis of symmetry, Xmax = -(0)/2(1)

Axis of symmetry, Xmax = 0/1 = 0.

Vertex (h, k) = (0, 0).

In conclusion, the domain of this quadratic function f(x) = y = x² are all the x-values that are located on the x-axis of the graph, which include {-∞, ∞} or all real numbers.

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The second pair of points representing the solution set of the system of equations is (-6, 29).

To find the second pair of points representing the solution set of the system of equations, we need to substitute the x-coordinate of the second point into one of the equations and solve for y.

Given the system of equations:

y = x^2 - 2x - 19

y + 4x = 5

Substituting the x-coordinate of the second point (-6) into equation 2:

y + 4(-6) = 5

y - 24 = 5

y = 5 + 24

y = 29

Therefore, the second pair of points representing the solution set of the system of equations is (-6, 29).

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Question

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

y = x2 − 2x − 19

y + 4x = 5

The pair of points representing the solution set of this system of equations is (-6, 29) and

_________.

The mistake that Katie made in the stem and leaf diagram, was that she D. Missed a length.

Looking at the stem and leaf diagram, we see that there are 14 leaves. This means that there are 14 lengths of caterpillars. However, there are 15 lengths shown on the table.

This means that there is a length missing that Katie failed to account for. Upon close inspection of the stem and leaf plot, we find that the missing length is a second value of 70 because there are two lengths that are 70 but this is shown only once on the stem and leaf plot.

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