3 years ago

Find the missing side lengths.

Mathematics

1 answer:

CaHeK987 [17]3 years ago

4 0

Use the Pythagorean theorem:

$x^2+8^2=17^2\\\\x^2+64=289\qquad\text{subtract 64 from both sides}\\\\x^2=225\to x=\sqrt{225}\\\\\boxed{x=15\ ft}$

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Find the unknown angle measure by solving for the given variable.

MrRa [10]

A triangle is 180°. So you can do:

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12n = 180

n = 15 Now that you know the value of n, you can plug it into each individual angle/equation

∠X = 3.2n plug in 15 for n

∠X = 3.2(15)

∠X = 48°

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White raven [17]

Answer:

Step-by-step explanation:

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olya-2409 [2.1K]

Answer:

<h2>The answer is 0.1493.</h2>

Step-by-step explanation:

In a standard deck there are 52 cards in total and there are 4 aces.

Two cards can be drawn from the 52 cards in $^{52}C_2 = \frac{52!}{50!\times2!} = 51\times26$ ways.

There are (52 - 4) = 48 cards rather than the aces.

From these 48 cards 2 cards can be drawn in $^{48}C_2 = \frac{48!}{46!\times2!} = 47\times24$ ways.

The probability of choosing 2 cards without aces is $\frac{47\times24}{51\times26} = \frac{188}{221}$ .

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Here is how it should look

Step-by-step explanation:

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