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3 years ago

9

What is the image of ABC for a 270° counterclockwise rotation about P?

1 answer:

MAXImum [283]3 years ago

4 0

Answer:JKL

Step-by-step explanation:A 270 degree rotation represents three 90 degree rotations

Rotating ABC by 90 degrees three times places it in the position of JKL

So, the answer is B. JKL

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Six cards numbered from 1 to 6 are placed in an empty bowl. First one card is drawn and then put back into the bowl; then a seco

kari74 [83]

Answer:

C. $\frac{1}{18}$

Step-by-step explanation:

Given: Six cards numbered from $1$ to $6$ are placed in an empty bowl. First one card is drawn and then put back into the bowl then a second card is drawn.

To Find: If the cards are drawn at random and if the sum of the numbers on the cards is $8$ , what is the probability that one of the two cards drawn is numbered $5$ .

Solution:

Sample space for sum of cards when two cards are drawn at random is $\{(1,1),(1,2),(1,3)......(6,6)\}$

total number of possible cases $=36$

Sample space when sum of cards is $8$ is $\{(3,5),(5,3),(6,2),(2,6),(4,4)\}$

Total number of possible cases $=5$

Sample space when one of the cards is $5$ is $\{(5,3),(3,5)\}$

Total number of possible cases $=2$

Let A be the event that sum of cards is $8$

$p(\text{A})$ $=\frac{\text{total cases when sum of cards is 8}}{\text{all possible cases}}$

$p(\text{A})=\frac{5}{36}$

Let B be the event when one of the two cards is $5$

probability than one of two cards is $5$ when sum of cards is $8$

$p(\frac{\text{B}}{\text{A}})=\frac{\text{total case when one of the number is 5}}{\text{total case when sum is 8}}$

$p(\frac{\text{B}}{\text{A}})=\frac{2}{5}$

Now,

probability that sum of cards $8$ is and one of cards is $5$

$p(\text{A and B}=p(\text{A})\times p(\frac{\text{B}}{\text{A}})$

$p(\text{A and B})=\frac{5}{36}\times\frac{2}{5}$

$p(\text{A and B})=\frac{1}{18}$

if sum of cards is $8$ then probability that one of the cards is $8$ is $\frac{1}{18}$ , option C is correct.

3 0

3 years ago

Sum of numbers 12-111

liubo4ka [24]

Answer:

12-111=-99

Step-by-step explanation:

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2 years ago

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swat32

Answer:

180

Step-by-step explanation:

guessed the answer

that was the easiest

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3 years ago

Consider the two triangles. Triangles A B C and H G I are shown. Angles A C B and H I G are right angles. The length of side A C

sergey [27]

Answer:

I think it's

D. AC/GI = BC/HI

Step-by-step explanation:

Angles that are congruent don't necessarily mean they're similar. But this is what I saw that is associated with similarity with triangles.

AC and GI are corresponding sides and BC and HI are corresponding sides as well so, yeah. D.

I think.

I guess.

I don't know.

I didn't pay attention, tbh. LOL

~Pengoon~

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prohojiy [21]

Answer: it is 65%

Step-by-step explanation:

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