Pls help urgently extra points and mark brainlist

Mathematics

1 answer:

HACTEHA [7]3 years ago

5 0

Answer:

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Step-by-step explanation:

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Find the coordinates of the midpoint of the segment whose endpoints are H(2, 1) and K(10, 7)

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$\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
H&({{ 2}}\quad ,&{{ 1}})\quad 
% (c,d)
K&({{ 10}}\quad ,&{{ 7}})
\end{array}\qquad
% coordinates of midpoint 
\left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)$

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Answer: $\textsf{x = 6}$

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Given: $\textsf{The image provided with 2 angles and one side}$

Find: $\textsf{Solve for the unknown side of x}$

Solution: In order to determine the length of x we need to use some trigonometric functions. Using Soh Cah Toa we can see that we can either use 30 degrees or 60 degrees. We will stick to 60 and we can see that the opposite side is 3 and the hypotenuse is x meaning that we need to use sin. Plug in the values and solve for the unknown.

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