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faltersainse [42]
2 years ago
9

Write the equation of line in slope-intercept form

Mathematics
1 answer:
Arturiano [62]2 years ago
4 0
The line crosses points (0, -1) and (2, 0)
y - (-1) = (0 - (-1))/(2 - 0) (x - 0)
y + 1 = 1/2 x
y = 1/2x - 1
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#2 is the one I need help with
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By arc sum Postulate of a circle:

2 x + 3x + 4x = 360°

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By inscribed angle theorem:

m\angle 1= \frac {1}{2} \times 3x\\\\\therefore m\angle 1= \frac {1}{2} \times 120°\\\\\huge \red {\boxed {\therefore m\angle 1= 60°}}

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m\angle 3 = 3x\\\\\huge \pink {\boxed {\therefore m\angle 3 = 120°}}

By angle sum Postulate of a triangle:

m\angle 3 + 2 m\angle 4 = 180°\\\\120° + 2 m\angle 4 = 180° \\\\2 m\angle 4 = 180°- 120° \\\\2 m\angle 4 = 60° \\\\m\angle 4 = \frac {60°}{2} \\\\\huge \orange {\boxed {m\angle 4 =30°}}

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Step-by-step explanation:

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