3 years ago

Find the missing angle.

Mathematics

1 answer:

Andrei [34K]3 years ago

5 0

Interior angles sum: 180(3-2) = 180

180 - (76 + 59) = 45

Your answer: 45

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2 years ago

Find the solution set.2x^2+3x=2 separate the two values with a comma.

inna [77]

Answer:

x = -2, 1/2

Step-by-step explanation:

Step 1: Isolate everything to 1 side

2x² + 3x - 2 = 0

Step 2: Factor

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to get the equation of any straight line, we simply need two points off of it, let's use the points in the picture below.

$(\stackrel{x_1}{-2}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{-1}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-1}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{(-2)}}}\implies \cfrac{-3}{4+2}\implies \cfrac{-3}{6}\implies -\cfrac{1}{2}$

$\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{-\cfrac{1}{2}}(x-\stackrel{x_1}{(-2)}) \\\\\\ y-2 = -\cfrac{1}{2}(x+2)\implies y-2=-\cfrac{1}{2}x-1\implies y=-\cfrac{1}{2}x+1$

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2 years ago