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3 years ago

Are all quadrilaterals either rectangles or squares?

1 answer:

5 0

No, there are lots of quadrilaterals. <span>Examples of other quadrilaterals are rhombus, kite, trapezoid, parallelogram etc</span>

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The grid shows Figure Q and its image Figure Q′ after a transformation.

Svetach [21]

The transformation of pentagon Q to pentagon Q' is a clockwise rotation of 180° about the origin.

<h3>What is transformation?</h3>

A transformation is a general term for four specific ways to manipulate the shape or position of a point, a line, or a geometric figure.

We have,

Coordinates of a pentagon Q.

(2, 4), (3, 7), (7, 5), (5,4), and (4,2).

Coordinates of pentagon Q'.

(-2, -4), (-3, -7), (-7, -5), (-5,-4), and (-4,-2).

We see that the coordinates of each point of the pentagon Q have changed their position as negative coordinates in pentagon Q'

The coordinates of pentagon Q are in (x, y) which can be assumed to be in the first quadrant of the coordinate plane.

The coordinates of pentagon Q' are in (-x, -y) which is in the 3rd quadrant.

From the first quadrant to 3rd quadrant there is a rotation of 180°.

Thus the transformation of pentagon Q to pentagon Q' is a clockwise rotation of 180° about the origin.

Learn more about transformation here:

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8 0

10 months ago

How do you solve this problem<br> (2x+8)2=64

asambeis [7]

Answer:

Step-by-step explanation:

If (2x+8)2 = 64, then I would solve it by making sure the numbers in the parentheses equal 32. This is because it would get multiplied by 2 after you find the answer and 32 x 2 is 64. So what times 2 is 24? 12. 12 x 2 is 24, plus 8 is 32, and multiply 32 by 2 and you get 64 :) I'm not the best at explaining btw ;-;

7 0

3 years ago

Read 2 more answers

A group conducted a poll of 2083 likely voters just prior to an election. The results of the survey indicated that candidate A w

mart [117]

Answer:

With the given margin of error its is possible that candidate A wins and candidate B loses, and it is also possible that candidate B wins and candidate A loses. Therefore, the poll cannot predict the winner and this is why race was too close to call a winner.

Step-by-step explanation:

A group conducted a poll of 2083 likely voters.

The results of poll indicate candidate A would receive 47% of the popular vote and and candidate B would receive 44% of the popular vote.

The margin of error was reported to be 3%

So we are given two proportions;

A = 47%

B = 44%

Margin of Error = 3%

The margin of error shows by how many percentage points the results can deviate from the real proportion.

Case I:

A = 47% + 3% = 50%

B = 44% - 3% = 41%

Candidate A wins

Case II:

A = 47% - 3% = 44%

B = 44% + 3% = 47%

Candidate B wins

As you can see, with the given margin of error its is possible that candidate A wins and candidate B loses, and it is also possible that candidate B wins and candidate A loses. Therefore, the poll cannot predict the winner and this is why race was too close to call a winner.

5 0

3 years ago

Tutorial C<br> A 3-yard roll of aluminum foil costs $4.14. What is the price per<br> foot?

Marta_Voda [28]

Answer:

$.46 or 46 cents per foot

Step-by-step explanation:

3 yards = 4.14

1 yard is 3 feet

3 yards is 9 feet

4.14 ÷ 9 = .46

5 0

1 year ago

The two-way table shows the number of people whose hobbies are reading or solving puzzles and who either ride a motorcycle or do

enot [183]

The number of people whose hobby is reading but not riding a motorcycle is 5.

<h3>What is the relative frequency of not riding a motorcycle?</h3>

We want to calculate the number of people whose hobby is reading but they don't like riding the motorcycle,

therefore, when we look into the table we will find out that block A2 is the block that represents the number of people whose hobby is reading but not riding a motorcycle.

Hence, the number of people whose hobby is reading but not riding a motorcycle is 5.

Learn more about Relative frequency:

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7 0

2 years ago