You tossed a six-sided die twice. what is the probability of the sum being less than 5

1 answer:

7 0

The chance of it being less than 5 is 1/6 or 16.67%

If you start by creating a table of the possible rolls, you'll see that there are 36 options. Of those options, there are only 6 that are less than 5. The values are below.

1-1
1-2
1-3
2-1
2-2
3-1

So then you divide the number of options that fit the criteria by the overall options to get your answer.

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Is there enough information shown on the triangles to say that the

Harlamova29_29 [7]

Answer: (D) No. The corresponding pairs of sides must also be marked congruent to determine that the triangles are congruent.

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Explanation:

The arc markings tell us how the angles pair up, and which pairs are congruent. Eg: The double-arc angles are the same measure.

Despite knowing that all three pairs of angles are congruent, we don't have enough information to conclude the triangles are congruent overall. We can say they are similar triangles (due to the AA similarity theorem), but we can't say they are congruent or not. We would need to know if at least one pair of sides were congruent, so that we could prove the triangles congruent.

The list of congruent theorems is

SSS
ASA
AAS (or SAA)
SAS
HL
LL

Much of these involve an "S", to indicate "side" (more specifically "pair of sides). Both HL and LL involve sides as well. They are special theorems dealing with right triangles only.

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So in short, we don't have enough info. We would have to know information about the sides. This is why choice D is the answer.

7 0

3 years ago

a certain area covers 4800km squared,the area decreases by 6.75% each year what will the area be in 13 years?

Darina [25.2K]

The answer is 588 because if you multiply 6.75 percent of 4800 by 13, and then subtract it from 4800, you get 588.

6 0

3 years ago

Find the difference 0.0900-0.0088

coldgirl [10]

0.0900-0.0088=0.0812
I did it by thinking of it as 900-88=812