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velikii [3]
3 years ago
13

Which of the following expressions represent a value greater than 4/5 ? A: 4/5 x 3/3. B: 4/5 x 1/2. C: 4/5 x 5/4 D: 4/5 x 4/5

Mathematics
1 answer:
dalvyx [7]3 years ago
7 0

Answer:

C = 1.

Step-by-step explanation:

A: 4/5 x 3/3 (1) = 4/5, Incase you didn't know, 3/3 means 1 whole because it is full. We can tell by just looking that this doesn't represent a value greater than 4/5, In fact, it's equal to 4/5.

B: 4/5 x 1/2 = 2/5 <--- By not using any calculator or math, we already know that 4/5 is greater than 2/5 and that 2/5 is less than 4/5. This is not the correct answer because it's less than 4/5.

C: 4/5 x 5/4 = 1. This could be a correct answer choice because one is greater than 4/5. If your confused, think of it like this, 5/5 is equal to one and then there's 4/5. Then you compare and contrast and see that 5/5 is greater than 4/5 so this is a correct answer choice.

D: 4/5 x 4/5 is equal to 16/25. In my opinion, I wouldn't choose this answer choice because though the numbers are bigger than 4/5, 4/5 IS equal to 16/25, so it wouldn't really be a correct answer choice.

Hope this helped!

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Which transformation of AB will produce a line segment A'B' that is parallel to AB?
lyudmila [28]

<em>Options:</em>

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<em>Rotation of 90° about point b </em>

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<em></em>

Answer:

Rotation of 180° about point B

<em></em>

Step-by-step explanation:

Considering coordinates of point B

Assume the coordinates of the line at point B is (x,y)

i.e. B = (x,y)

First, we need to determine the slope at point B

Taking coordinates about the origin.

The slope of B is:

m = \frac{y_2 - y_1}{x_2 - x_1}

Where

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(x_2,y_2) = (x,y)

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Option A.

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Taking the slope of B'

The slope of B is:

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m = \frac{y_2 - y_1}{x_2 - x_1} becomes

m = \frac{-y - 0}{-x - 0}

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Notice that the slope of B and B' is the same;

m = \frac{y}{x}

<em>Hence:</em>

<em>Rotation of 180° about point B  answers the question</em>

<em></em>

<em>There's no need to check for other options</em>

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