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3 years ago

Giving brainiest, thank you, and followfind the missing side length, m.

Mathematics

2 answers:

Rus_ich [418]3 years ago

6 0

Answer is 5
brainliest?

Gelneren [198K]3 years ago

5 0

Answer: m = √44 = 6.6 units

Step-by-step explanation:

Since this a right triangle and we have the side measurements of the hypotenuse and a side we can use the Pythagorean theorem to find the measurement of the other side

Let the missing side, m, equal b

c^2=a^2+b^2

12^2=10^2+b^2

10^2+b^2=12^2

10^2+b^2-10^2=12^2-10^2

b^2=44

b=√44, b=-√44

Angle measurements cannot be negative, therefore side m = √44 = 6.6 units

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3 years ago

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<h2>System 1 - $\Large\textbf{X}$ </h2>

$\begin{array}{c|c}\textbf{First Equation}&\textbf{Second Equation}\\\cline{1-2}\begin{aligned}2x+y&=5\\2(2)+1&=5\\4+1&=5\\5&=5\\&\checkmark\end{aligned}&\begin{aligned}-2x+y&=2\\-2(2)+1&=2\\-4+1&=2\\-3&=2\\&\text{X}\end{aligned}\end{array}$

<h2>System 2 - $\Large\textbf{X}$ </h2>

$\begin{array}{c|c}\textbf{First Equation}&\textbf{Second Equation}\\\cline{1-2}\begin{aligned}-2x-y&=-5\\-2(2)-1&=-5\\-4-1&=-5\\-5&=-5\\&\checkmark\end{aligned}&\begin{aligned}2x-y&=2\\2(2)-1&=2\\4-1&=2\\3&=2\\&\text{X}\end{aligned}\end{array}$

<h2>System 3 - $\Large\textbf{X}$ </h2>

$\begin{array}{c|c}\textbf{First Equation}&\textbf{Second Equation}\\\cline{1-2}\begin{aligned}-x+y&=3\\-2+1&=3\\-1&=3\\&\text{X}\end{aligned}&\begin{aligned}-3x+y&=-5\\-3(2)+1&=-5\\-6+1&=-5\\-5&=-5\\&\checkmark\end{aligned}\end{array}$

<h2>System 4 - $\Large\checkmark$ </h2>

$\begin{array}{c|c}\textbf{First Equation}&\textbf{Second Equation}\\\cline{1-2}\begin{aligned}x+y&=3\\2+1&=3\\3&=3\\&\checkmark\end{aligned}&\begin{aligned}3x-y&=5\\3(2)-1&=5\\6-1&=5\\5&=5\\&\checkmark\end{aligned}\end{array}$

Since both equations in the final system are true when solved with $(2, 1)$ , the answer is the last system.

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3 years ago

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3 years ago

Giving brainiest, thank you, and followfind the missing side length, m.​

Giving brainiest, thank you, and followfind the missing side length, m.