Create a polygon JKLMNOPQ that is a dilation of polygon ABCDEFGH with a scale factor of 3 about the origin

Answers

Answer 1

Answer:

The dilated polygon and polygon are created. And the scale factor of the polygon STUVWXYZ to JKLMNOPQ will be 9.

What is dilation?

Dilation is the methodology of expanding the dimensions of an object without impacting its appearance.

The coordinate of the polygon ABCDEFGH is given as,

(3, -3), (4, -4), (5, -3), (8, -6), (10, -4), (9, -3), (8, -4), (5, -1)

a) If the scale factor is 3, then the coordinate of the polygon JKLMNOPQ is given as,

⇒ 3 [(3, -3), (4, -4), (5, -3), (8, -6), (10, -4), (9, -3), (8, -4), (5, -1)]

⇒ (9, -9), (12, -12), (15, -9), (24, -18), (30, -12), (27, -9), (24, -12), (15, -3)

b) If the scale factor is 1/3, then the coordinate of the polygon STUVWXYZ is given as,

⇒ 1/3 x [(3, -3), (4, -4), (5, -3), (8, -6), (10, -4), (9, -3), (8, -4), (5, -1)]

⇒ (1, -1), (4/3, -4/3), (5/3, -1), (8/3, -2), (10/3, -4/3), (3, -1), (8/3, -4/3), (5/3, -1/3)

c) The polygon JKLMNOPQ and STUVWXYZ are similar. Then the scale factor is given as,

Scale factor = 9/1

Scale factor = 9

The diagram is given below.

More about the dilation link is given below.

brainly.com/question/2856466

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Related Questions

Which value of x makes this equation true -5(x - 20) = 35
Assume a significance level ofα=0.05and use the given information to complete parts (a) and (b) below.Original claim:LessLessthan51%of adults would erase all of their personal information online if they could. The hypothesis test results in a P-value of0.0148a. State a conclusion about the null hypothesis. (RejectUpper H 0H0or fail to rejectUpper H 0H0.)Choose the correct answer below.A.RejectRejectUpper H 0H0because the P-value isless than or equal toless than or equal toalphaα.B.RejectRejectUpper H 0H0because the P-value isgreater thangreater thanalphaα.C.Fail to rejectFail to rejectUpper H 0H0because the P-value isgreater thangreater thanalphaα.D.Fail to rejectFail to rejectUpper H 0H0because the P-value isless than or equal toless than or equal toalphaα.b. Without using technical terms, state a final conclusion that addresses the original claim. Which of the following is the correct conclusion?A.The percentage of adults that would erase all of their personal information online if they could islesslessthan or equal to51%.B.Thereisissufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could ismoremorethan51%.C.The percentage of adults that would erase all of their personal information online if they could ismoremorethan51%.D.Thereis notis notsufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could ismoremorethan51%.
Find the next 2 numbers in the pattern -12, 60, -300, 1500, ____, ____.
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The use of social networks has grown dramatically all over the world. In a recent sample of 24 American social network users and each was asked for the amount of time spent (in hours) social networking each day. The mean time spent was 3.19 hours with a standard deviation of 0.2903 hours. Find a 99% confidence interval for the true mean amount of time Americans spend social networking each day

Mr.ward and mr. heskey are racing toy cars and Mr. heskey wants to give mr. ward an 8 ft head start because his car is 2 seconds slower. mr. ward's car travels 4 feet per second and mr. he's key's car travels 6 ft per second.which inequality could be used to determine after how many seconds, 's mr. heskey's car will be head of mr. ward's car?

please show how you got the answer.

Answers

Answer:

F. 6s > 4s +8

Step-by-step explanation:

From a reference point at the beginning of the track, Ward's car will be located 4s+8 feet down the track after s seconds. That is, it starts 8 feet down the track, and increases its distance by 4 feet every second.

From the same reference point, Heskey's car will be located 6s feet down the track after s seconds. Its distance starts from zero and is increasing at the rate of 6 feet every second.

For Heskey's distance to exceed Ward's distance you want ...

6s > 4s +8 . . . . . . matches choice F

Which events have a probability of 25 percent? Select three options.choosing a green jelly bean out of a bag that contains 2 green jelly beans, 1 red jelly bean, and 5 yellow jelly beans
rolling a number less than 3 on a six-sided die
spinning a number less than 2 on a spinner that has four equal sections numbered from 1 to 4
choosing an Oregon state quarter out a bag that contains 4 California state quarters, 3 Oregon state quarters, 6 Texas state quarters, and 3 New York state quarters
choosing a spade out of a standard deck of cards that contains 13 hearts, 13 clubs, 13 diamonds, and 13 spades

Answers

Choosing a green jelly bean.

Spinning a number less than 2 on a spinner.

Choosing a spade out of a standard deck of cards.

What are the probabilities?

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

Probability of choosing a green jelly bean = number of green jelly bean / total number of beans

2/8 x 100 = 25%

Probability of spinning a number less than 2 on a spinner = number that is less than 2 / total number of sections

1/4 x 100 = 25%

Probability of choosing a choosing a spade= number of spade / total cards in the deck

13/54 x 100 = 25%

To learn more about probability, please check: brainly.com/question/13234031

The three options that have a probability of 25 percent are:

- Choosing a green jelly bean

- Spinning a number less than 2 on a spinner

- Choosing a spade from a standard deck of cards

The probability of an event occurring is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. A probability of 25 percent corresponds to a ratio of 1 out of 4 (since 25% is one-fourth of 100%). Let's analyze the options:

1. Choosing a green jelly bean: There are 2 green jelly beans out of a total of 2 + 1 + 5 = 8 jelly beans. The probability is 2/8, which simplifies to 1/4 or 25%. This option has a probability of 25%.

2. Rolling a number less than 3 on a six-sided die: There are 2 favorable outcomes (1 and 2) out of 6 possible outcomes (1 through 6). The probability is 2/6, which simplifies to 1/3 or approximately 33.33%. This option does not have a probability of 25%.

3. Spinning a number less than 2 on a spinner: There is 1 favorable outcome (1) out of 4 possible outcomes (1 through 4). The probability is 1/4 or 25%. This option has a probability of 25%.

4. Choosing an Oregon state quarter: There are 3 Oregon state quarters out of a total of 4 + 3 + 6 + 3 = 16 state quarters. The probability is 3/16, which is not equal to 25%.

5. Choosing a spade from a standard deck of cards: There are 13 spades out of a total of 13 + 13 + 13 + 13 = 52 cards. The probability is 13/52, which simplifies to 1/4 or 25%. This option has a probability of 25%.

Learn more about probability here

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Question 10 of 321 Point
The standard form of the equation of a parabola is
y=1x2 - 4x +21. What is the vertex form of the equation?
O A. y =(x+4)2 +13
O B. y=2(x+4)2 +21
C. y = 2(x-4)2 + 21
D. y = -(x-4)? +13

Answers

i thinhk is C DONT NOW

The answer is c ) y=2(x-4) 2+21

Twin brothers, Billy and Bobby, can mow their grandparent's lawn together in 53 minutes. Billy could mow the lawn by himself in 20 minutes less time that it would take Bobby. How long would it take Bobby to mow the lawn by himself?

Answers

5353 minutes = 89.22 hours
Maybe the figures should be 53 and 20??

Let's let Billy = A
The formula to use for work problems is
Time = (A*B) / (A+B)

53 = ( (A +20)* A) / (A +20 + A) )
53 = ( A^2 + 20A ) / (2A + 20)
A^2 + 20A -106A -1060
A^2 -86A -1060
A = 96.935
Bobby Mows in 116.935 minutes

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