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2 years ago

Find the measures of two angles, one positive and one negative, that are coterminal with the given angle. 254

Mathematics

2 answers:

bixtya [17]2 years ago

8 0

Answer:

614°, -106°

Step-by-step explanation:

Coterminal angles are angles in standard position, that is, angles with the initial side on the positive x-axis, that have a common terminal side.

Coterminal angles can be found by adding or subtracting 360° to the original angle.

Let's consider the angle 254°.

If we add 360°, we have 254° + 360° = 614°. This is a positive coterminal angle.

If we subtract 360°, we have 254° - 360° = -106°. This is a negative coterminal angle.

Ksenya-84 [330]2 years ago

4 0

360-254= -106
One angle is 254 and the other -106

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3 years ago

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3 years ago

Read 2 more answers

How do you solve it?

Elis [28]

At heart we're being asked for a line through two points,

$(40^\circ \textrm{ C}, 355 \textrm { m/s}) \quad \textrm{and} \quad (49^\circ \textrm{ C}, 360 \textrm { m/s})$

In general the line through (a,b) and (c,d) is

$(y-b)(c-a)=(x-a)(d-b)$

Check that you understand why both (a,b) and (c,d) are on this line.

Here our indepedent variable, instead of x, is T, temperature. Our dependent variable is v, velocity. Substituting,

$(v - 355)(49 - 40) = (T - 40)(360 - 355)$

$9(v - 355) = 5(T - 40)$

$v-355 = \frac 5 9 T - \frac{200}{9}$

$v= \frac 5 9 T - \frac{200}{9} + 355$

$v= \frac 5 9 T + \frac{2995}{9}$

That's our answer; let's check it.

When T=40, v = (5/9)40 + (2995/9) = 355 good

When T=49, v= (5/9)49 + (2995/9) = 360 good

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