The data below shows a miles driven on a single day by random sample of 14 student calculate the 8th and the 74% hall of the data

The line of symmetry divides a shape into 2 equal halves. The line of symmetry can be describe as an imaginary line that passes through the center of a figure and create a mirror image of the figure. An example of a line of symmetry is a line dividing a shape into two equal halves .

The imaginary line is the green line and it divide the square into 2 equal halves . Therefore, the word kid has no line of symmetrry

The volume of a cone is represented by the formula

according to this using the values of the cone given

simplify the expression

the increment in the number of shells is 9

the original number of shells is 40

the percent change is computed as follows:

Substituting:

Expanation:

FIrst we have to locate point (-1, -5) in the coordinate plane (in red).

Then we have to use the slope to find another point from there. The slope is:

If the slope is 1/5 it means that we have to move 5 units to the right (in orange) from the point and then 1 unit up (in light blue). That's the second point (in dark green). Now we just have to draw a line passing through those two points:

Answer:

The graph of the line is:

We can calculate the perimeter by adding all expressions to get the following:

then, we can use the distributive property to get rid of the parenthesis and then add each similar term to get:

therefore, the expression that represents the perimeter of the triangle is 4x + 1

Given:

A bicycle is traveling at 15 miles per hour.

We will find how many feet will it cover in 80 seconds.

First, we will convert the given speed from miles per hour to feet per second.

1 mile = 5280 feet, and 1 hour = 60 minutes = 3600 seconds.

So, the bicycle is traveling at 22 feet per second

now, we will find the product of the speed by the time (80 seconds)

So,

So, the answer will be 1760 feet.

We know that the sum of the angles is 360 degrees:

Now, we solve for x

To find the y -intercept. simply put t=o and solve for p

That is;

P = 500 + 250t

P= 500 + 250(0)

p = 500

500 is the initial studio-use fee

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

450%​

fractional notation = ?

Step 02:

fractional notation:

450%​ = 450 / 100 = 45 /10

The answer is:

The fractional notation is 45 /10

Explanation

Step 1

two lines are perpendicular if the producto of their slopes equals -1

so

Step 2

now, find the equations

a) for line 1

Let

slope=1

point (3,-5)

to find the equation ,let's use the formula

therefore, the equation 1 is

b) for line 2

let

slope=slope2=-1

point=(3,-5)

replace in the formula

, therefore, the equations are

I hope this helps you

Solution

To find the values of H and K, we need to write

into

Note that

From the question, we have

Therefore,

We can draw a non-example of a sum by drawing an example of a substraction, for example.

Then we would have:

That would be 3-1 = 2.

we have

Finding the length of segment DF,

then find the length of segment EF​

Using the similar triangles,

Triangle ABC = Triangle DEF

AB / DE = AC / DF = BC / EF

2 / 1 . 34 = 4 / DF = 3 / EF

Solving 2 / 1 . 34 = 4 / DF

cross - multiply, we have:

2 X DF = 4 X 1. 34

2 DF = 5. 36

DF = 5 . 36 / 2

DF = 2 .68

Solving 2 / 1 . 34 = 3 / EF

cross - multiply, we have:

2 x EF = 3 X 1. 34

2 EF = 4 .02

EF = 4. 02 / 2

EF = 2. 01

To determine the domain and range for the logarithmic function below

The domain of a function is a set of input or argument values for which the function is real and defined,

Therefore the positive values of log : > 0

Therefore the range of the function is

Answer:

Part A:

$96.30

Part B:

$65.55

Part C:

$1.23

Step-by-step explanation:

Part A:

To find the predicted heating cost for a month with an average temperature of 0 F, we use x as 0 in the equation of the line of best fit, as following:

Therefore, we can conclude that the answer is $96.30

Part B:

To find the predicted heating cost for a month with an average temperature of 25 F, we use x as 25 in the equation of the line of best fit, as following:

Therefore, we can conclude that the answer is $65.55

Part C:

In this question we're being asked about the slope of the line. From the equation of the line of best fit, we can conclude that the slope is -1.23.

Therefore, we can conclude that for an increase of one degree Fahrenheit, the predicted decrease in the monthly heating cost is $1.23

We have to find the length of AC.

As we have a right triangle of which we know the length of the hypotenuse and one angle measure, we can use a trigonometric ratio to find AC:

Answer: AC = 9

We have that Stephon wants to reduce the width by 4, and we can represent this as follows:

And he wants to increase the length by 4:

The square brick patio has an area of:

Therefore, the area of the new patio is given by:

Since x = 20, we have:

Therefore, the answer is A = 384 square feet (option C).

To find the slopes of the line that passes through the points (1, 1) and (7, 5), we can follow the next steps:

1. Identify the coordinates of the points:

x1 = 1

y1 = 1

x2 = 7

y2 = 5

2. Apply the formula of the slope of a line:

Then, the slope of the line that passes through the points (1, 1) and (7, 5) is m = 2/3.

2. We can follow the same for case 2. (1, 1) and (5, 7):

x1 = 1

y1 = 1

x2 = 5

y2 = 7

Then

Then, the slope of the line that passes through the points (1, 1) and (5, 7) is m = 3/2.

3. We can follow the same for case 3, (2, 5) and (-1, 2):

x1 = 2

y1 = 5

x2 = -1

y2 = 2

Then, the slope of the line that passes through the points (2, 5) and (-1, 2) is m = 1.

4. We can follow the same for case 4, (2,5) and (-7, -4):

x1 = 2

y1 = 5

x2 = -7

y2 = -4

Then, the slope of the line that passes through the points (2, 5) and (-7, -4) is m = 1.

Answer:

x=

x=5.92 or -5.92

Explanation:

Given the equation:

Combine the fractions on the left-hand side by multiplying:

Next, multiply both sides by 21:

Finally, find the square root of both sides:

We need to include the numbers between 18 and 167. This will not include the numbers 18 or 167

{19,20,21,22,........,166}

Answer F

Pair A:

Remember that characteristic of the numbers is that, in general:

For any numbers a and b, this is always true. So, in our case:

So the pair A is equivalent

As for pair B:

We are going to it by contradiction: if we suppose that the two equations are the same (one is equal to the other) and we found a pair of numbers (x,y) that produce a contradiction, then the two equations cannot be equivalent. Let me show you:

Suppose pair B is equivalent, then:

Now, suppose that x=0 and y=1, then:

And of course, 3 is not equal to 0!

So, by supposing that the 2 equations are equivalent we reach a false implication, which means that the pair is NOT equivalent

As for pair C:

We can expand the expression 6(2x-y):

Which is exactly the first expression! So the pair is equivalent!

Explanation

Step 1

Let

A=96 (square inches)

so,replacing

Step 2

now, we need to solve the quadratic equation,we can use the quadratic formula

therefore, the solutions are

as we are looking for a distance, the ONLY valid answer must be positive

so, the answer is

x=3

I hope this helps you

x

It has a negative correlation. This is, the more sleep time there less the reaction time.

In order to solve this equation for b, we need first to bring all terms with the variable b to one side of the equation and the terms without the variable to the other side:

Then, after adding the similar terms, we just need to divide both sides of the equation by the number multiplying the variable:

So the value of b is 3/2

We are told that

Santa planned to run 4.2 miles daily

He only ran 0.2 of the distance yesterday

To find how far he ran yesterday, we will find 0.2 of 4.2 miles

This means that Santa ran 0.84 miles yesterday

a line is a tangent to a circle if it touches it superficially once but doesn't cross it.

For triangle XYZ we can identify three segments that touch the circle but don't cross it, like this:

Similarly, for triangle ABC:

• Segments that are tangent to circle w in XYZ: XY, YZ and ZX

• Segments that are tangent to circle D in ABC: AB, BC and CA

To the nearset kilometer, the distance between Centerville and Capital City is 1,336 km

Here, we want to find the distance between Centerville and Capital city

From what we have in the diagram, we can see a right-angled triangle

Thus, we can use Pythagoras' theorem here

It states that the square of the hypotenuse equals the sum of the squares of the two other sides

The distance between Centerville and Capital city is the hypotenuse as it is the side that faces the right-angle

Let us call the distance h

Thus, according to Pythagoras' theorem, we have it that;

The equation is:

If x = 2 then then we replace the value of x