9514 1404 393
Answer:
360°
Step-by-step explanation:
The sum of exterior angles of any convex polygon is 360°.
Answer:
x = -1
Step-by-step explanation:
Note that all terms have 13 in the denominator. In such a case as this, you can remove the denominators (only when each and EVERY one of them are the same is this possible).
4x/13 + 3/13 = -1/13 ⇒ 4x + 3 = -1
Simplify. Isolate the variable, x. Do the opposite of PEMDAS. Note the equal sign, what you do to one side, you do to the other.
Subtract 3 from both sides.
4x + 3 = -1
4x + 3 (-3) = -1 (-3)
4x = -1 - 3
4x = -4
Divide 4 from both sides.
(4x)/4 = (-4)/4
x = (-4)/4
x = -1
-1 is your answer for x.
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<h3>
Answer: D) 10</h3>
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Explanation:
y = 5 because the long leg is exactly sqrt(3) times that of the short leg.
The short leg is always opposite the 30 degree angle.
The hypotenuse x is twice that of y, so x = 2y = 2*5 = 10
All of these rules only apply to 30-60-90 triangles. You can use trig ratios as an alternative route.