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3 years ago

Figure ABCD is transformed to figure A′B′C′D′:

Mathematics

2 answers:

statuscvo [17]3 years ago

5 0

Angle C prime D prime A prime

mash [69]3 years ago

5 0

Answer:

The correct option is 4.

Step-by-step explanation:

It is given that figure ABCD is transformed to figure A′B′C′D′.

The vertices of ABCD are A(1,1), B(3,3), C(4,2) and D(4,1).

The vertices of A'B'C'D' are A'(1,-3), B'(3,-1), C'(4,-2) and D'(4,-3).

It is clear that the figure translate 4 units down and the rule of translation is

$(x,y)\rightarrow (x,y-4)$

Translation is a rigid transformation, it means image and preimge are congruent.

Since ABCD is translate 4 units down to make A′B′C′D′, therefore

$ABCD\cong A'B'C'D'$

Congruent part of congruent figures are congruent.

$\angle CDA\cong \angle C'D'A'$

Therefore the correct option is 4.

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In the last election, 72% of the voters

mezya [45]

Answer:

Option A) 19 to 25

Step-by-step explanation:

In the last election, 72% of the voters were in favor of a new outlet mall and

28% were against it.

Vanessa creates random samples of the voters using the numbers 1 to 25.

So, There are 25 numbers to represent all the voters

The range of number that could be used to represent the voters who were against the new outlet mall = 28% of 25 numbers = 0.28 * 25 = 7

So, 7 numbers only could be used to represent the voters who were against the new outlet mall.

Check the options to find which range has only 7 numbers.

A) 19 to 25 ⇒ 7 numbers

B) 7 to 18 ⇒ 12 numbers

C) 15 to 25 ⇒ 11 numbers

D) 1 to 18 ⇒ 18 numbers

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Yanka [14]

Answer:

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zlopas [31]

Answer:

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Step-by-step explanation:

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Leni [432]

The question is incomplete. Here is the complete question.

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