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denis-greek [22]
2 years ago
9

What’s the value of x in each triangle?

Mathematics
1 answer:
vazorg [7]2 years ago
8 0

Answer:

<u> </u><u>The</u><u> </u><u>value</u><u> </u><u>of</u><u> </u><u>x</u><u> </u><u>is</u><u> </u><u>7</u><u>0</u><u>°</u><u>.</u>

Step-by-step explanation:

Let's name the angle to the right of 125° as 'y'.

y = 180 - 125 (linear pair)

<u>y = 55</u>°

Now, we know that all the angles in a triangle sum up to 180°. (Angle Sum Property)

x = 180 - (55+55)

x = 180 - 110

<u>x</u><u> </u><u>=</u><u> </u><u>7</u><u>0</u><u>°</u>

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Step-by-step explanation:

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Suppose you pick two cards from a deck of 52 playing cards. What is the probability that they are both queens?
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Answer:

0.45% probability that they are both queens.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes

The combinations formula is important in this problem:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Desired outcomes

You want 2 queens. Four cards are queens. I am going to call then A,B,C,D. A and B is the same outcome as B and A. That is, the order is not important, so this is why we use the combinations formula.

The number of desired outcomes is a combinations of 2 cards from a set of 4(queens). So

D = C_{4,2} = \frac{4!}{2!(4-2)!} = 6

Total outcomes

Combinations of 2 from a set of 52(number of playing cards). So

T = C_{52,2} = \frac{52!}{2!(52-2)!} = 1326

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Can you identify the value of each digit ? ​
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