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vlabodo [156]
3 years ago
5

Point A has coordinate A(3, 2). The point is rotated 180° clockwise about the origin. What is the x-coordinate of point A’?

Mathematics
2 answers:
ozzi3 years ago
8 0

Answer:

The x coordinate is -3.

Step by Step Explanation:

180 degree rotation is (x,y) --> (-x,-y)

applying this to the coordinate A(3, 2) would be (-3, -2)

the x coordinate is -3, this is the answer.

Ivenika [448]3 years ago
7 0

Answer:

Step-by-step explanation:

A 180 degree rotation around the origin would be the same things as a reflection across the x-axis followed by a reflection across the y-axis.

This would result in the new location being (-3, -2)  The x coordinate is -3.

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3 years ago
A) There are 100 students who play at least one of volleyball, soccer and hockey, of these 50 play au three games, 84 play socce
Scilla [17]

Answer:

<h2>i) 3</h2><h2>ii) 5</h2>

Step-by-step explanation:

Let H be the set of students who play Hokey

     V be the set of students who play Volleyball

     S be the set of students who play Soccer

======================================

card(volleyball only) = card(V) - [card(V∩H∩S) + card(V∩H only) + card(V∩S only)]

                                 = 73 - [50 + (58-50) + (62-50)]

                                 = 73 - [50 + 8 + 12]

                                 = 73 - 70

                                 = 3

………………………………………………

Card(Hokey only) = 100 - [3 + 8 + 50 + 10 + 12 + 12]

                              = 100 - 95

                              = 5

…………………

<u><em>Note</em></u> :

A Venn diagram might be helpful in such case.

5 0
1 year ago
Stefan sells Jin a bicycle for ​$176 and a helmet for ​$16. The total cost for Jin is ​160% of what Stefan spent originally to b
Elis [28]

Answer:

Stefan originally paid $120 for the bicycle and helmet.

He made $72 by selling them to Jin.

Step-by-step explanation:

Given that:

Selling price of bicycle = $176

Selling price of helmet = $16

Total price = 176+16 = $192

This is 160% of what Stefan paid originally.

Let,

x be the original amount paid by Stefan.

160% of x = 192

\frac{160}{100}x=192\\1.6x=192

Dividing both sides by 1.6

\frac{1.6x}{1.6}=\frac{192}{1.6}\\x=120

Original amount paid by Stefan = $120

Profit = 192 - 120 = $72

Hence

Stefan originally paid $120 for the bicycle and helmet.

He made $72 by selling them to Jin.

3 0
2 years ago
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