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Sergeu [11.5K]
3 years ago
9

Which triangles (if any) can be shown to be congruent using a rotation?

Mathematics
2 answers:
saveliy_v [14]3 years ago
8 0

Answer:

Step-by-step explanation:

alright, lets get started.

There are three triangles are given .

For 1 and 2 to be congruent, a triangle needs to be reflected. Means reflection is required.

For 1 and 3 to be congruent, a triangle needs to be reflected and rotated both, means reflection and rotation both are required.

For 2 and 3, triangle needs to be rotated only.

Means for triangle 2 and 3 to be congruent, it needs rotation.

So, the answer is 2 ans 3  option B    :    answer

Hope it will help :)

-BARSIC- [3]3 years ago
7 0
B...<span>Triangles </span>2 and 3<span> are </span>rotations<span> of each other. </span>Triangle<span> 1 requires a </span>reflection<span>.</span>
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3 years ago
Select the correct answer. Which number has a terminating decimal expansion? A. 2/7 B.√12 C. 5/8 D. 2/11
quester [9]

Answer:

Option C is correct option.

Step-by-step explanation:

We need to determine which number has a terminating decimal expansion.

<em>Terminating decimal </em>

<em>A decimal number that contains a finite number of digits after the decimal point is called terminating decimal . </em>

<em>for example 0.123 is terminating decimal as it has finite number of digits after decimal point.</em>

Now, we will look at each option to find the terminating decimal

A. 2/7

Converting in decimal form: 0.28571....

As it doesn't contain finite numbers after decimal point, so 2/7 is not terminating decimal.

B.√12

Converting in decimal form: 3.46410....

As it doesn't contain finite numbers after decimal point, so √12 is not terminating decimal.

C. 5/8

Converting in decimal form: 0.625

As it contain finite numbers after decimal point, so 5/8 is terminating decimal.

D. 2/11

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As it doesn't contain finite numbers after decimal point, so 2/11 is not terminating decimal.

Therefore, Option C is correct option.

4 0
2 years ago
For the month of March in a certain city, 57% of the days are cloudy. Also in the month of March in the same city, 55% of the da
oksian1 [2.3K]

Answer: 0.9649

Step-by-step explanation:

Let A denote the event that the days are cloudy and B denotes the event that the days are rainy.

Given : For the month of March in a certain city, the probability that days are cloudy :P(A)=0.57

Also in the month of March in the same city,, the probability that the days are cloudy and rainy :P(A\cap B)=0.55

Now by using the conditional probability, the probability that a randomly selected day in March will be rainy if it is cloudy will be :-

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\Rightarrow\ P(B|A)=\dfrac{0.55}{0.57}\\\\=0.964912280702\approx0.9649\ \ \text{[Rounded to four decimal places.]}

Hence, the probability that a randomly selected day in March will be rainy if it is cloudy = 0.9649

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3 years ago
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Answer:

Step-by-step explanation:

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Step-by-step explanation:

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