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Semenov [28]
3 years ago
6

Find the size of and an angle which is five times its supplement.

Mathematics
1 answer:
Rzqust [24]3 years ago
6 0
A Pentagon 



i hoped this helped :)
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Chloe was x inches tall on her birthday last year. This year she is 2.5 inches taller. Select all of the following expressions t
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X+2.5 because you dont know her height of last year which would give you the variable X and this year she grew 2.5 inches which would make the equation X+2.5 
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Evaluate the expression if m = – 4, n = 1, p = 2, q = –6, r = 5, and t = -2.<br><br> |3r + 6m
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40⋅8−10^2 what is the result
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220

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Points H and F lie on circle C. Circle C is shown. Line segments E C, F C, and D C are radii. Tangents E G and D G intersect at
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3 years ago
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its 76 degrees fahrenheit at the 6000-foot level of a mountain, and 49 degrees Fahrenheit at the 12000-foot level of the mountai
brilliants [131]

T = \frac{-9}{2}x + 103 is the linear equation to find the temperature T at an elevation x on the mountain, where x is in thousands of feet.

<em><u>Solution:</u></em>

The linear equation in slope intercept form is given as:

T = cx + k ------ (i)

Where "t" is the temperature at an elevation x

And x is in thousands of feet

<em><u>Given that its 76 degrees fahrenheit at the 6000-foot level of a mountain</u></em>

Given, when c = 6 thousand ft and T = 76^{\circ} fahrenheit

This implies,

From (i)

76 = c(6) + k

76 = 6c + k

⇒ k = 76 - 6c  ----- (ii)

<em><u>Given that 49 degrees Fahrenheit at the 12000-foot level of the mountain</u></em>

Given, when c = 12 thousand ft and T = 49^{\circ} fahrenheit

This implies,

From (i)

49 = c(12) + k

49 = 12c + k

Substitute (ii) in above equation

49 = 12c + (76 - 6c)

49 = 12c + 76 - 6c

49 - 76 = 6c

6c = -27

c = \frac{-9}{2}

Substituting the value of c in (ii) we get

k = 76 - 6( \frac{-9}{2})\\\\k = 76 + 27 = 103

Substituting the value of c and k in (i)

T = \frac{-9}{2}x + 103

Where "x" is in thousands of feet

Thus the required linear equation is found

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3 years ago
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