ΔMNP is an isosceles triangle with MN ≈NP. If ∠ M = 3x + 1 and ∠ N = x - 11. What is the measure of ∠P?

Answer:

the answer is -1 1/64

Step-by-step explanation:

i have k12

Answer:

got 80 percent cuz i missed this :l

Step-by-step explanation:

15 3/4 is the right  hope it help

Answer:

Always! I mean that is easy...

Step-by-step explanation:

Ethan paid $31.99 for the video game on sale.

To calculate the discount that Ethan obtained in the price of his video game, we do the following operations:

We divide the total price by one hundred and multiply the result by the discount, in this case 20.

Subsequently, we subtract the result of the previous operation (value of the discount) from the total value of the video game.

$39,99 - $7,998 = $31,992

According to the above, the value that Ethan paid for the video game was $31,992

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Answer: $31.99

Step-by-step explanation:

$39,99 ÷ 100 = $0,3999

$0,3999 × 20 = $7,998

$39,99 - $7,998 = $31,992

Answer with explanation:

The given function is

     [tex]y=\frac{x}{2}-2[/tex]

→2 y = x-4

→x -2 y -4=0

The function represents Linear function.

To plot the linear function on x y plane, we will write function in the form of slope intercept form, which is as follows

       [tex]\frac{x}{a}+\frac{y}{b}=1\\\\\frac{x}{4}+\frac{y}{-2}=1[/tex]

So, the graph will cut X axis at , (4,0) and (0, -2).

To draw a unique line we need two points . The unique line will pass through (4,0) and (0, -2).

To solve this problem, we use the z statistic.  The z formula is:

z = (x – u) / s

where x is lakers score = 101.7, u is Celtics score = 99.2, s is standard dev = 10.5

z = (101.7 – 99.2) / 10.5 = 0.24

using the normal distribution table at z = 0.24, the P value is:

P (z = 0.24) = 0.5984 = 59.84% 

1/12 is the probability that a 5 is rolled on at least one of the two dice

It is a branch of mathematics that deals with the occurrence of a random event.

Given that  two standard six-sided dice are tossed,

We need to find the probability that a 5 is rolled on at least one of the two dice.

When we roll two  dice there is a possibiltiy of 36 outcomes.

In these 36 outcomes atleast one of the dice should show 5.

There are 36 possible rolls

(5, x), (x, 5) and (5, 5) are the possible outcomes with 5 on any of the dice.

x represents any number from one to five.

So  the probability that a 5 is rolled on at least one of the two dice is 3/36

which is equal to 1/12.

Hence, 1/12 is the probability that a 5 is rolled on at least one of the two dice

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The domain function of this table is C) {3,4,5,6}. Option c is the correct answer.

The domain of a function is the set of all possible input values. In this case, the input values are the X-values in the table.

The X-values in the table are 3, 4, 5, and 6. Therefore, the domain of the function is {3, 4, 5, 6}.

So the answer is (C).

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To determine if Patrick has enough yarn left to make a scarf, subtract the amount of yarn used for the hat from the total amount of yarn, and then compare it with the amount needed for the scarf.

In this question, we are given that Patrick has a 600-meter spool of yarn. He used 8.9 minutes of yarn to make a hat. We need to determine if he has enough yarn left to make a scarf that uses 350 meters of yarn.

To solve this problem, we need to subtract the amount of yarn used for the hat from the total amount of yarn, and then compare it with the amount needed for the scarf.

Let's calculate:

Since the amount of yarn left (591.1 meters) is greater than the amount needed for the scarf (350 meters), Patrick has enough yarn left to make the scarf.

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△ABC is rotated 180 degrees about the origin to become △A'B'C'. Then △A'B'C' is translated 3 units down to become △A"B"C". Because the transformations are both rigid, the pre-image and image are congruent.

In Euclidean Geometry, the mapping rule for the rotation of a geometric figure about the origin by 180° in a clockwise or counterclockwise direction can be modeled by the following mathematical expression:

(x, y)                      →            (-x, -y)

Point A (1, -1)       →        Point A' (-1, 1)

Point B (4, -2)       →       Point B' (-4, 2)

Point C (7, 2)       →       Point C' (-7, -2)

Next, we would apply a translation 3 units down to the new figure (△A'B'C'), in order to determine the coordinates of its image as follows;

(x, y)                →                  (x, y - 3)

A' (-1, 1)          →    (-1, 1 - 3) = A" (-1, -2).

B' (-4, 2)          →    (-4, 2 - 3) = B" (-4, -1).

C' (-7, -2)          →    (-7, -2 - 3) = C" (-7, -5).

Therefore, the resulting figure must be located in the third quadrant as illustrated in the diagram shown above.

The correct options are A, D, and G.

Correct statements about the graph are:

A. It has a minimum.

D. Vertex at (-1, -9).

G. Y-intercept at (0, -8).

To determine the truth of the statements given about the graph, we will analyze the graph step by step:

1. **Identify the Vertex**: The vertex of a parabola is the highest or lowest point of the graph, depending on whether it opens upwards or downwards. This graph opens upwards, so the vertex will be the minimum point.

2. **Find the Vertex**: We need to locate the vertex on the graph by looking for the point where the graph changes direction.

3. **Check for Maximum or Minimum**: Since this parabola opens upwards, it will have a minimum point but not a maximum.

4. **Determine the Zeros**: Zeros are the points where the graph crosses the x-axis. These are also known as the roots or solutions of the quadratic function when set to zero.

5. **Locate the Y-Intercept**: The y-intercept is the point where the graph crosses the y-axis.

6. **Examine the Solutions**: The solutions of the quadratic function are the x-coordinates of the zeros of the function.

7. **Assess the Y-Intercept**: We will find the y-coordinate of the point where the graph intersects the y-axis.

Now, let's examine the graph based on these steps:

A. **The graph has a minimum** - True. The parabola opens upwards, which means it has a minimum point where the vertex is located.

B. **The graph has a maximum** - False. Since the graph opens upwards, it does not have a maximum point; the vertex represents a minimum.

C. **The graph has zeros of -4 and 2** - False. The zeros of the graph (where it crosses the x-axis) appear to be different from -4 and 2, as the graph does not touch the x-axis at these points.

D. **The vertex is located at (-1,-9)** - True. By looking at the graph, it appears that the vertex, which is the minimum point, is indeed at the point (-1,-9).

E. **The graph has y-intercepts at (-4,0) and (2,0)** - False. A graph can only have one y-intercept, which is where it crosses the y-axis. The points given are actually x-intercepts or zeros of the function.

F. **The solution of the quadratic function represented by the graph is (-1,-9)** - False. The solution to a quadratic function is typically the x-values where the function crosses the x-axis (the zeros). The vertex is not the solution to the function; it is simply the minimum or maximum point.

G. **The y-intercept of the graph is (0,-8)** - True. The y-intercept is where the graph crosses the y-axis, which appears to be at (0,-8) according to the graph.

Hence, the correct statements are A, D, and G. The graph has a minimum at the vertex (-1, -9) and a y-intercept at (0, -8). It does not have a maximum, and the zeros are not at -4 and 2 as stated in option C. The solutions to the quadratic function would be the x-values of the zeros, not the vertex coordinates.

The complete question is here:

Which of the following statements are true about the graph? Check all that apply.

(GRAPH IS GIVEN BELOW)

A. The graph has a minimum.

B. The graph has a maximum.

C. The graph has zeros of -4 and 2 .

D. The vertex is located at (-1,-9).

E. The graph has y-intercepts at (-4,0) and (2,0).

F. The solution of the quadratic function represented by the graph is (-1,-9).

G. They-intercept of the graph is (0,-8).

The statements that are true from the graph are:

Why are the statements true ?

There is a vertex on the graph, which implies that there is either a minimum or maximum point. In this case, since the vertex is shown, it indicates a minimum point on the graph.

The vertex of a quadratic function in the form y = ax ² + bx + c is given by the coordinates (-b / 2a, f(-b/2a)), where a, b, and c are coefficients of the quadratic equation.

The y-intercept is the point where the graph crosses the y-axis, and it occurs when x = 0. This is shown to be the point ( 0, - 8 ).

The full question is:
Based off of the graph which of the following statements are true. select all that apply

A. The graph has a minimum.

B. The graph has a maximum.

C. The graph has zeros of -4 and 2 .

D. The vertex is located at (-1,-9).

E. The graph has y-intercepts at (-4,0) and (2,0).

F. The solution of the quadratic function represented by the graph is (-1,-9).

G. They-intercept of the graph is (0,-8).

It would take Lisa approximately 8.669 minutes to run 2 kilometers at her rate of speed.

To find out how long it would take Lisa to run 2 kilometers, we need to convert the distance she can run in a mile to kilometers. Since there are 1.60934 kilometers in a mile, we multiply the time it takes her to run a mile (7 minutes) by the conversion factor (1.60934 kilometers/mile). This gives us the time it would take her to run 1.60934 kilometers. To find the time it would take her to run 2 kilometers, we can set up a proportion:

Calculating this gives us x ≈ 8.669 minutes. Therefore, it would take Lisa approximately 8.669 minutes to run 2 kilometers at her rate of speed.

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The chances of getting 4 when a die is rolled three times will be 216.

A combination in mathematics is a choice made from a group of separate elements where the order of the selection is irrelevant.

Given that a die is rolled 3 times. The chances of getting 4's will be calculated as:-

In a die, there are 6 numbers from 1 to 6. At one time only one number will come. the combination will be

Combination = 6 x 6 x 6

Combination = 216

Therefore, the chances of getting 4 when a die is rolled three times will be 216.

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