Part (a)
The angles would stay the same. This is because similar figures keep the same shape, but the size will shrink or grow.
A real world application is to simply move your head closer to the page and the figure will appear to get larger. The angles themselves stay the same but the side lengths will get larger.
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Part (b)
While the angles stay the same under a dilation operation, the side lengths do not. As the instructions state: "The side lengths are 3 times longer" (paraphrased).
So we multiply each side length in the diagram by 3
- DE = 3*JK = 3*4.5 = 13.5
- EF = 3*KL = 3*3 = 9
- FG = 3*LM = 3*2 = 6
- GD = 3*MJ = 3*2.5 = 7.5
Refer to the diagram below. I've used the resize feature to enlarge the image to make figure DEFG
First do 6 divided by 10
then add 8.75 to that
Answer:
1/2 = 3/6
1/3 = 4/12
1/5 = 2/10
1/4 = 5/20
Step-by-step explanation:
To make equivalent fractions, you need multiply by 1. A number divided by itself is 1.
1/1 * x/x = x/x = 1
1/2 = 3/6

1/3 = 4/12

1/5 = 2/10

1/4 = 5/20

Hope this helps :)
Have a great day!
You have to find the least common denominator then compare numerators after you determine the factor by which you must multiply your denominators by in order to make them equal. Then apply the same factor to the numerators.
<em><u>Hi there! :)</u></em>
<em><u>Answer:</u></em>
<em><u>x>24</u></em>
<em><u>*The answer must have a positive sign and greater than symbol sign.*</u></em>
<em><u>Step-by-step explanation:</u></em>
First, you switch sides.

Then, you subtract by 18 from both sides of an equation.

Finally, you subtract by the numbers from left to right.

<u><em>Final answer is x>24</em></u>
I hope this helps you!
Have a nice day! :)
-Charlie
:D