Line AB has a length of 5 cm. The line segment is dilated to produce line A'B', which has a length of 2 cm. Find the scale factor of the dilation. A. k = 2/5
B. k = 1/2
C. k = 5/2
D. k = 2

Thank you in advance for your help!

Answers

Answer 1
Answer:

Answer:

Option A is correct

k = 2/5

Step-by-step explanation:

The rule of dilation with scale factor k is given by:

k = \frac{\text{Image length}}{\text{original length}}

As per the statement:

Line AB has a length of 5 cm. The line segment is dilated to produce line A'B', which has a length of 2 cm.

⇒original Length (AB)= 5 cm

and

Image length (A'B') = 2 cm

Apply the rule of dilation we have;

k = \frac{\text{A'B'}}{\text{AB}}

Substitute the given values;

k = (2)/(5)

Therefore, the scale factor of the dilation is, 2/5

Answer 2
Answer: The correct answer is A. k = 2/5

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A chef bought 58 kilograms of almonds and 0.2 kilograms of pecans. How many kilograms of nuts did the chef buy in all? Option 1: 58.2 kilograms. Option 2: 58.2 grams. Option 3: 58.02 kilograms. Option 4: 0.58 kilograms.

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Answer:

Option 1

Step-by-step explanation:

58.0kg +0.2kg = 58.2kg

If the probability of an event is 26%, what is the probability of its complement occurring?

Answers

84% 

100-26=84

26%+84%=100%

the answer is 84% hope this helps

Is 2.99 greater than 3.51

Answers

Yes 2.99 is greater than 3.15 because The 3 is greater than 2 so you can see that its greater than:)
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Yes because if you look at the ones place, 2 and 3, you see that 3 is greater than 2 so there fore it is false.

Xavier is thinking of a number. Nine more than four times the number is the same as fifteen less than twice the number. What is Xavier's number?

Answers

Answer:

x=1

Step-by-step explanation:

9+4x=15-2x

9+6x=15                    Add two to both sides

6x=6                        divide by 6

x=1

Answer:

-12

Step-by-step explanation:

I set it up as an equation based on the word problem you gave me

So

2n - 15 = 4n + 9

Combine like terms

-2n = 24

Isolate the variable n

-2n/-2 = 24/-2

n = -12

To check your work replace the n with -12

2(-12) - 15 = 4(-12) + 9

-24 - 15 = -48 + 9

-39 = -39

Maria determined that the length of her driveway from the main road is 35.25 meters.Which number sentence will tell how long Maria’s driveway is, measured in kilometers?







A.

35.25 × 100






B.

35.25 ÷ 1,000






C.

35.25 ÷ 100






D.

35.25 × 1,000

Answers

B, there are 1000m in a km.

Answer:

i think its B hope i helped

Match each set of numbers with their least common multiple

Answers

Final answer:

The least common multiples for the given sets of numbers are found. Then, these least common multiples are matched with their corresponding numbers in another column. The correct matchings are:
i. 504 -> b. 9, 8, 7
ii. 288 -> f. 32, 24, 18
iii. 84 -> e. 14, 12
iv. 44 -> a. 22 and 4
v. 200 -> d. 25, 8
vi. 108 -> c. 27, 12, 36

Explanation:

This question is asking for the least common multiple (LCM) of different sets of numbers. The LCM is the smallest number that is a multiple of each of the numbers in a set. We will find the LCM for each set in Column II and match it to the corresponding number in Column I.

a. For 22 and 4, the LCM is 44.
b. For 9, 8, and 7, the LCM is 504.
c. For 27, 12, and 36, the LCM is 108.
d. For 25 and 8, the LCM is 200.
e. For 14 and 12, the LCM is 84.
f. For 32, 24, and 18, the LCM is 288.

So, the correct matchings are:
i. 504 -> b. 9, 8, 7
ii. 288 -> f. 32, 24, 18
iii. 84 -> e. 14, 12
iv. 44 -> a. 22 and 4
v. 200 -> d. 25, 8
vi. 108 -> c. 27, 12, 36

Learn more about Least Common Multiple here:

brainly.com/question/30060162

#SPJ2

The complete question is given below:

Match each set of numbers with their least common multiple.

In column I, the numbers are:

i. 504

ii. 288

iii. 84

iv. 44

v. 200

vi. 108

In column II, the numbers are:

a. 22 and 4=

b. 9, 8, 7=

c. 27, 12,,36=

d. 25 , 8=

e. 14 ,12=

f. 32, 24 18=

27, 12, and 36  = 108

22 and 4  = 44

14 and 12  = 84

25 and 8  =200

9, 8, and 7  = 504

32, 24, and 18  = 288