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love history [14]
2 years ago
12

Whici expression could be used to represent 2/3

Mathematics
1 answer:
valentinak56 [21]2 years ago
6 0

Answer:epression could be used to represent 2/3

1/2

1/3

1/3

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Identify the two triangle congruence criteria that do NOT guarantee congruence. Explain why they do not guarantee congruence, an
Mashcka [7]

Answer: Hello mate!

there are two congruence criteria that do not guarantee congruence:

AAA ( or 3 angles)

two triangles can have the same 3 angles, but different size, then they are not congruent; an example of this is:

take the triangle rectangle of both cathetus = 1 and hypotenuse = √2, where the angles are 90°, 45° and 45°

and now take the triangle rectangle with both cathetus = 2 and hypotenuse = √8, this triangle also has the angles 90°, 45°, and 45°, so this two triangles succeed the AAA criteria, but are not congruent.

SSA (side-side-angle)

If two triangles satisfy the SSA  criteria and the corresponding angles are acute and the length of the side opposite to the angle is greater than the length of the adjacent side multiplied by the sine of the angle (but less than the length of the adjacent side), then the two triangles are not necessarily congruent.

This is kinda harder to illustrate;  

think on a triangle rectangle where you have the measure of both cathetus and one of the angles different from 90° as the SSA data.

and now think on another triangle that has the same adjacent cathetus and angle, and where the other cathetus is rotated (in a sense where 90° is decreasing) to the point where its tip intercepts the hypotenuse of the first triangle.

Those two triangles meet the SSA criteria but are not congruent.

7 0
3 years ago
A rope is 225 centimeters long.
n200080 [17]

Answer:

This is impossible, unless you meant centimeters. If you did, then the answer would be 113.

Step-by-step explanation:

225 - 112 = 113.

8 0
3 years ago
A bag has 9 marbles: 4 are green, 2 are red, and 3 are blue. Melissa chooses a marble at random, and without putting it back, ch
nika2105 [10]

Answer: pr (blue) = 1/3 or 0.33

Pr(green without replacement) = 1/2 = 0.5

Step-by-step explanation:

Probability = number of possible outcomes/ number of total outcomes

Total number of outcomes is the sum of all the marbles, given as 9

Pr ( first marble blue) = no of blue marbles/ total number of marbles

= 3/9 = 1/3 or 0.333

Second marble is chosen without replacement- this means that the total outcome has reduced by 1, total number of marbles has reduced to 8 because there was no replacement.

Pr (second marble is green) = number of green marble/ total number of marbles without replacing the first marble

= 4/8 = 1/2 = 0.5

I hope this helps.

7 0
3 years ago
I need help with my math
stepladder [879]

Answer:

28.26

Step-by-step explanation:

π r² = A

A = (3.14) (3²)

A = 3.14 · 9 = 28.26

8 0
3 years ago
Read 2 more answers
Sam has twice as many books as Jim. If Sam gives 12 books to Jim, they will have the same number of books. How many books do the
Neko [114]

Alright, lets get started.

Suppose number of books Jim have = x

Sam has twice as many books as Jim. So,

Number of books Sam have = 2x

If Sam gives 12 books to Jim, they will have the same number of books.

When Sam gives 12 books, his remaining books will be = 2x - 12

When Jim gets 12 books from Sam, his books will be = x + 12

And as per given question, they both now have equal books, so

2x - 12 = x + 12

Adding 12 in both sides

2x - 12 + 12 = x + 12 + 12

2x = x + 24

Subtracting x from both sides

2x - x = x + 24 - x

x = 24

It means Jim has number of books = 24

So, Sam has numberof books = 24 * 2 = 48

So, they have number of books together = 24 + 48 = 72 : Answer

Hope it will help :)


5 0
3 years ago
Read 2 more answers
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