When developing a plan for a geometric proof, which of the following is not important?
A.) evaluate the given statement(s)
B.)determine the number of steps needed
C.)look carefully at the figure
D.)create a plan for the proof

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).

16

Okay, so Jack started with 50 chocolates and ended with 2. 
The simple way to calculate it would be by realizing that Jack only distributed 48 chocolates. We can find how many times 3 fits into 48 by dividing 48÷3=16.

Using algebra, we substitute the value we want to find with x. Here what we want to find is the number of friends that were at Jack's party.

We know that he started with 50 chocolates, then distributed 3× the number of friends present (which is x). 
We write that down as 50−3x 
(It's minus because when chocolates are distributed, Jack is taking away from what he has.)

We know that after this, there were only 2 chocolates left, so it's 
50−3x=2

Then we proceed by moving all the numbers to the right until only x is left:

−3x=2−50
−3x=−48

x=−48−3

x=16

Conclusion: The number of people that attended the party was 16.

Answer:

The equation is 3x+2=50

There were 16 friends at Jack's party.

Step-by-step explanation:

I JUST TOOK THE TEST

Answer:

Triangle 4

Step-by-step explanation:

Congruent triangles are identical in all aspects. They have identical sides and angles.

The ASA the Angle Side Angle criterion.

Congruent triangles should be able to "close up" on each other if one triangle is placed on top of the other. Let's look at the triangle in question.

The triangle ABC is made distinct by the lines on it.

The lines mark the different angles on the triangle.

By looking at the triangle and comparing, Triangle satisfies the ASA criterion

Answer:

Always! I mean that is easy...

Step-by-step explanation:

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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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:

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:

C

Step-by-step explanation:

Because The Equation Represents how many of those thingy's were stuffed

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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△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.

By using the formula for the perimeter of a rectangle and substitution, it is determined that the dimensions of the rectangle are 6 inches for the length and 2 inches for the width.

This is a traditional problem in algebra that we can solve using known formulas and principles.

The perimeter of a rectangle is calculated using the formula 2(l+w), where 'l' stands for length and 'w' stands for width. In this problem, we know the perimeter (P) is 24 inches, and we know the length (l) is the width (w) + 4 inches.

We can set up and solve an equation using these facts. Replace 'l' in the equation with '(w + 4)' and solve for 'w': 2[(w + 4) + w] = 24, which simplifies to 2w + 8 = 12, and finally, w = 2.

Having found 'w', we can find 'l' by substituting 'w' in our equation of 'l', l = w + 4 = 2 + 4 = 6.

Therefore, the length is 6 inches and the width is 2 inches.

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First let’s find the mean and standard deviation for both test and then we can calculate the probability of getting that score in his respective test and compare. 

First test

P(x < 56)

P(z < 56-47.80/16.38)

P(z<0.50) = 1 – 0.3085 = 0.6915 or 69 percentile

Second test

P(x < 74)

P(z < 74 – 73.45 / 8.37)

P(z<0.07) = 1 – 0.4721= 0.5279 or 53 percentile

The probability for this normal distribution also means the percentile, so we can say that in the first test she was in the 69 percentile while in the second test she was in the 53 percentile. Therefore, she did worse in the second test

Julia did better on the first test compared to the second test.

To determine whether Julia did better or worse on the second test, we need to compare her score on the first test with her score on the second test. For the first test, Julia received a score of 56 and for the second test, she received a score of 74. To determine which score is better, we can compare their positions in the distribution of scores.

First, we can calculate the mean and standard deviation of the scores for each test. For the first test, the mean is 49.9 and the standard deviation is 12.8. For the second test, the mean is 73.6 and the standard deviation is 7.3.

Next, we can calculate the z-scores of Julia's scores on each test. A z-score represents the number of standard deviations a data point is from the mean. For the first test, Julia's z-score is 0.16, and for the second test, her z-score is -0.2538.

Since a higher z-score indicates a better performance relative to the mean, Julia did better on the first test than the second test.

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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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