Please help me with this, image attached.

Mathematics

1 answer:

Ainat [17]3 years ago

5 0

Answer: x = 9 (choice D)

Assuming this is a geometric kite, then this means that triangle ABD is a reflection over the line BD to get triangle BCD. Furthermore, this points to AB and BC being the same length

AB = BC

3x - 5 = 22 .... substitution

3x - 5+5 = 22+5 .... add 5 to both sides

3x = 27

3x/3 = 27/3 ..... divide both sides by 3

x = 9

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3 years ago

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Mandarinka [93]

Answer:

$\textbf{P} \textbf{(Sophomore}\hspace{1mm} | \hspace{1mm} \textbf{Boy)} \hspace{1mm}\textbf{=} \hspace{1mm} \frac{\textbf{5}}{\textbf{12}} $$

Step-by-step explanation:

We are asked to find the probability of picking a Sophomore who is a boy.

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$\textbf{P(A} | \textbf{B)} \hspace{1mm} \textbf{=} \hspace{1mm} \frac{\textbf{P(A and B)}}{\textbf{P(B)}}$

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Hence, the answer.

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4 years ago

Find the slope of line passing through the points (5,9) and (5,-2)

Ulleksa [173]

$\sf~m=\dfrac{y_2-y_1}{x_2-x_1}$

(5, 9), (5, -2)
x1 y1 x2 y2

Plug in what we know:

$\sf~m=\dfrac{-2-9}{5-5}$

Subtract:

$\sf~m=\dfrac{-11}{0}$

We can't divide by zero, so:

$\sf~m=\boxed{\sf~Unde~\!\!\!\!~fined}$