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creativ13 [48]
3 years ago
7

Bastian was able to map quadrilateral OPQROPQRO, P, Q, R onto ONMLONMLO, N, M, L using a reflection and a dilation.

Mathematics
1 answer:
zaharov [31]3 years ago
5 0

Answer:

C. There is no error. This is a correct conclusion.

Step-by-step explanation:

Reflection is a transformation in which a given image is flipped across a reflection line  to create the image. Each point of the image (e.g ONML) maintained their distance from the line as the initial object (e.g OPQR). The size of the object and image are the same after a reflection.

Dilation involve resizing the dimensions of a given object to produce an image of the same shape. It requires a scale factor to either increase or decrease the dimensions of the object.

Comparing quadrilaterals OPQR and ONML. Drawing a reflection line vertically through O, it can be observed that OPQR was first reflected. Then  enlarged by a scale factor to produce ONML, thus dilation.

Therefore, there is no error in Bastian's conclusion.

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3 years ago
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Doss [256]

The probability of winning is 0.44 .

<u>Step-by-step explanation:</u>

Here it's given that , You enter a chess tournament where your probability of winning a game is 0.3 against half the players (call them type 1), 0.4 against a quarter of the players (call them type 2), and 0.5 against the remaining quarter of the players (call them type 3). You play a game against a randomly chosen opponent. More precisely :

Probability(type1) = 0.3\\Probability(type2) = 0.4\\Probability(type3) = 0.5\\\\Probability(winning) = w

Now, we choose a random opponent and we need to find probability of winning which is possible as :

<u>1. player chosen from type1</u>

<u>2. player chosen from type2</u>

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Combining all cases we get :

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⇒ w = 0.44

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The sum of money is Rs 8000.

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Step-by-step explanation:

Given: In 1 year ,

Linda's parents spend $2400 on cable and internet service.

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