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What is the length of the unknown leg in the right triangle? answers on second image.

Mathematics

1 answer:

anygoal [31]2 years ago

6 0

The correct answer is 8 yd

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A thief steals an ATM card and must randomly guess the correct five-digit pin code from an 8 key keypad repetition of digits is

Rus_ich [418]

Answer:

1/32768

Step-by-step explanation:

We have 5 digit pin code plots and 8 choices per slot. Because repetition is allowed (1 digit can have 8 choices) so we multiply out the number of choices per slot . Hence:

8*8*8*8*8 = $8^{5} = 32768$

So there are 32768 different combination.

But correct guess on the first try is just only 1 time, so its' probability:

1/32768

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Find the value of x.

olchik [2.2K]

Answer:

x = 4

Step-by-step explanation:

In $\triangle BAC, \: DE || AC$

Hence, by basic proportionality theorem:

$\frac{x + 2}{x} = \frac{3}{2} \\ \\ \therefore \: 2(x + 2) = 3x \\ \therefore \:2x + 4 = 3x \\ \therefore \:4 = 3x - 2x \\ \therefore \:4 = x \\ \huge \red { \boxed{\therefore \:x = 4}}$