Are the angles congruent If yes, how do you know?

2387.25 is the amount of tax

Take the original price and multiply by x to get the tax added

26525 * x = 2387.25

Divide each side by 26525

x = 2387.25/26525

x =.09

Change this to a percent form

.09 * 100%

x = 9 %

The sales tax percent 9 %

Answer:

A is correct.

0 < x < 75 represents the correct domain.

Answer:

16

Step-by-step explanation:

71.91 ~ 72

56.423 ~ 56

72-56=16

ANSWER:

STEP-BY-STEP EXPLANATION:

Given,

The measure of the hypotenuse is 15 inches.

The measure of the base is 10 inches.

The measure of the perpendicular is x inches.

By Pythagoras theorem,

Substituting the values then,

The change, t, in a runner's performance is modeled by:

Here s is the tall-wind speed.

It's required to find the change in a runner's finishing time with a wind speed of s = 5 m/s.

Substitute in the equation:

Operating:

Calculating:

t = -1.24

In order to solve this exercise, it is important to remember that when two figures are similar the corresponding angles are congruent (this means that they have equal measure) and the ratios of the lengths of their corresponding sides are equal.

In this case, you know that the triangle XYZ and the triangle UVW are similar triangles. Let be "k" the scale factor of XYZ to UVW.

Based on the explained above, you can set up the following:

You can identify that:

Then, substituting values into the equation, you get that:

The answer

To find the leg, we have to use the Pythagorean's Theorem

Where c = 6, a = 2.

The given figure is a parallelogram. The opposite angles of a parallelogram are congruent.

From the information given,

angle E and angle G are opposite

Thus,

94 = 11x + 6

11x = 94 - 6 = 88

x = 88/11

x = 8

Given the graph that shows the results of the survey, you know that it shows the results of 3 price surveys conducted at 4 area supermarkets in 3 months.

Notice that the white bar represents the results of September, the dashed bar represents the results in November and the black bar represents the results in March.

You can identify that on the x-axis are written the 4 area supermarkets and, on the y-axis are represented the prices in dollars.

Therefore, in order to identify the supermarket that lowered the price of the frozen beef dinners by the greatest dollar amount between September and November, you need to identify the supermarket that has the shortest dashed bars and white bars.

In this case, you can identify that the lowest price in September and November is:

And it corresponds to Warehouse.

Hence, the answer is: Option (2).

Answer

The answer = 5,184,000,000

There are 5,184,000,000 possible phone numbers.

Explanation

The question told us that telephone numbers are in the form NYZ-ABC-XXXX, then proceeds to give us the restrictions on some of the positions available.

- N can only be numbers: 2-9;

- Y can only be numbers 0-7

- and A&C cannot be 2

We are then told to calculate the number of phone numbers possible.

This question is a special type of permutation and combination.

To solve it, it will be a multiplication of the possible numbers that can take up each position.

N, can only be numbers 2 to 9. Number of possible digits = 8

Y, can only be numbers 0 to 7. Number of possible digits = 8

Z, no restriction, can have numbers 0 to 9. Number of possible digits = 10

A, number cannot be 2. Number of possible digits = 9

B, no restriction, can have numbers 0 to 9. Number of possible digits = 10

C, number cannot be 2. Number of possible digits = 9

X, no restriction, can have numbers 0 to 9. Number of possible digits = 10

X, no restriction, can have numbers 0 to 9. Number of possible digits = 10

X, no restriction, can have numbers 0 to 9. Number of possible digits = 10

X, no restriction, can have numbers 0 to 9. Number of possible digits = 10

Total number of possible phone numbers

= 8 × 8 × 10 × 9 × 10 × 9 × 10 × 10 × 10 × 10

= 5,184,000,000

Hope this Helps!!!

ANSWER

It is the cost for printing each DVD

EXPLANATION

We want to find out what the slope of the equation represents.

The equation given is a linear equation. The slope of a linear equation represents the rate at which the dependent variable changes with respect to the independent variable.

The independent variable is the number of DVDs while the dependent variable is the cost to make the DVDs.

Hence, the slope represents the cost of the DVDs per DVD. In other words, it represents the cost for printing each DVD.

Check the picture below.

well, we know the triangle is an isosceles, so it has twin sides coming from the "vertex" down to the "base", running an angle bisector from the "vertex" will give us a perpendicular to the "base", let's find its height.

[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2 - a^2}=b \qquad \begin{cases} c=\stackrel{hypotenuse}{13}\\ a=\stackrel{adjacent}{5}\\ b=\stackrel{opposite}{h}\\ \end{cases} \\\\\\ \sqrt{13^2 - 5^2}=h\implies 12=h[/tex]

so we simply need to get the area of a triangle whose base is 10 and height is 12.

[tex]A=\cfrac{1}{2}(\underset{b}{10})(\underset{h}{12})\implies \boxed{A=60}[/tex]

Given:

Length of wire = 10 yards

Total cost of wire = $15.30

To be able to determine the cost of wire per foot, let's first convert the unit of measure of the wire's length from yards to feet.

Recall: 1 yard = 3 feet

Step 1: Convert the measure of the wire length from yards to feet.

Therefore, 10 yards is equivalent to 30 feet.

Step 2: Divide the total cost by the total length of wire in feet.

Therefore, the cost of the wire per foot is $0.51

Answer: 98.89, 99.98, 100.01, 100.1

The form of the equation of the direct proportional is

k is the constant of variation

We can find it from the initial values of x and y

Since at x = -2 y = 10, then

Substitute x by -2 and y by 10 to find k

Divide both sides by -2 to find k

The value of k is -5

Then the equation is

Solution

To convert degrees to inches you must multiply the width of the control surface in inches by the sine of the angle.

How to convert degrees to inches?

First, determine the control surface width.

Measure the control surface width in inches.

Next, determine the angle.

Measure the angle in degrees.

Finally, calculate the deflection.

Calculate the linear deflection in inches using the formula above.

Answer:

Amount of increase = 60

Percent of increase = 40%

Explanation:

The amount of increase is equal to the difference between the new amount and the original amount. So, it is equal to:

New amount - Original amount = 210 - 150 = 60

Then, the percent of the increase is equal to the amount of increase divided by the original amount, so:

Amount of increase/Original amount = 60/150 = 0.4

Therefore, the answers are:

Amount of increase = 60

Percent of increase = 0.4 = 40%

We know that 90% is equivalent to 315 people and we want to know how many people are equivalent to 100%. So, using the rule of three, we get:

90% ------------------- 315

100% ------------------ X

Where X is the number of people surveyed.

Solving for X, we get:

Therefore, 350 people were surveyed.

Answer: 350 people

In the figure, the value of angle inscribed, m[tex]\text{Inscribed angle=}\frac{1}{2}\times Intercepted\text{ arc}[/tex]In the figure, Hence,

We will solve this problem using a system of linear equations.

We are given the following relationship between the variables

Replacing the value of D from equation (2) in equation (1)

Solving for N

Replacing the value of N in equation (2)

The answer is the nightstand costs $375 and the Dresser costs $525

First option describes line e: Each point is less than 4 units from the y-axis.

The second option describes line f:

We have the following:

5)

solving for x:

6)

solving for x:

From the question, we have two events that do not affect each other. They seem independent events. The probability of occurring the two events at the same time is given by the formula:

Then, since we have that P(A) = 0.70 and P(B) = 0.67, then, we have:

Then, P(AB) = 0.469.

Number of persons = 3

Number of cups of apple made is =7

Then the number of equal cider, everyone must have is:

Answer: -2= 5/2x -2

Step-by-step explanation:

Answer:

The values of h and k are 9 and -8, respectively

Step-by-step explanation:

This is how to determine the values of h and k

The vertex of the function g(x) is located at (9, –8)

The vertex of a function is represented as:

Vertex = (h,k)

This means that:

(h,k) = (9,-8)

By comparison, we have:

h = 9 and k = -8

So, the values of h and k are 9 and -8, respectively

We need to first determine the expression of the line, for that we will use the point slope form, which is given below:

Where m is the slope and (x1, y1) are the coordinates of a known point on the line.

Now we need to graph it, for that we need two points. We already know the coordinates of one of them (5,2), now we need another, we can use the point for which x is equal to 0.

Now we have (0, 23/4). We need to draw a line that passes

Explanation:

A polynomial function is a function where the exponents are whole numbers, i.e. >0 and natural. The coefficients are real.

Answer:

a) Yes

b) No.

c) No

d) No

D = RT

Where

D is distance

R is speed

T is time

Distance of student 1:

Distance of student 2:

Now,

When they meet, their distance would total 100, so we can write:

We can also write: