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Ipatiy [6.2K]
3 years ago
14

X=The measure of the exterior angle of the triangle is:​

Mathematics
2 answers:
Mrac [35]3 years ago
6 0

Step-by-step explanation:

We know that

\sf \hookrightarrow \:  \boxed{ \sf \: sum \: of \: two \: interior \: angles  = exterior \: angle} \\  \sf \hookrightarrow \: 50 + x = 3x - 54 \\  \sf \hookrightarrow \: x - 3x =  - 54 - 50 \\  \sf \hookrightarrow \:  - 2x =  - 104 \\  \sf \hookrightarrow \: 2x  = 104 \\  \sf \hookrightarrow \: x =  \frac{104}{2}   \\ \sf \hookrightarrow \:  x = 52

aniked [119]3 years ago
6 0

Answer:

x= 52

exterior =102

Step-by-step explanation:

50+x=3x-54

50+54=3x-×

104=2x

52=x

3(52)-54

156-54=102

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3 years ago
Through (4,-4) ; perpendicular to 6y=x-12
BARSIC [14]

y = mx + b

m = slope and b = y-intercept


We can arrange 6y = x - 12 in the form of y = mx + b

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Slope of y = 1/6(x) - 2 is 1/6. Taking the negative reciprocal of the slope we get the slope for the perpendicular line.

Negative reciprocal of 1/6 is -6.

The equation for the perpendicular line is

                  y = -6x + b

To find b we can plug in the x and y values of (4,-4) into it since it passes through those coordinates

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                 b = -4 + 6(4)

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So the equation for the perpendicular line is y = -6x + 20

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Answer:

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Hope this helps!!

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