Based on the angles addition theorem, the measure of the original angle = 44°.
<h3>What is the Angles Addition Theorem?</h3>
The angles addition theorem states that if an angle is bisected to form two smaller angles, then the sum of the measures of the two smaller angles equals the measure of the original angle that is bisected.
Given that the two smaller angles formed when bisected are: (3+30)° and (5+6)°. Based on the angles addition theorem:
The measure of the original angle = (3+30)° + (5+6)°
The measure of the original angle = 33° + 11°
The measure of the original angle = 44°
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Answer:
D. (0, 2)
Step-by-step explanation:
The vertex of the parent function, |x|, is (0, 0). Adding 2 translates it upward two units to (0, 2).
Step-by-step explanation:
you did not show us the picture or described what the shaded area is.
I assume it is the area of the circle without the inner square (as the "rectangke" is actually a square, because its sides are equally long).
so, we need to calculate the area of the circle and subtract the area of the square.
the area of the square is 3×3 = 9 cm².
the area of the circle is
pi×r²
with r being the radius.
so,
pi×4² = pi×16 = 16pi
the shaded area is then
16pi - 9 = 41.26548246... cm² ≈ 41.27 cm²
nothing of the answer options seems to be in that area, so maybe my assumption about the shaded area is wrong. or the specified answer options are mistyped. or both.
anyway, without additional information that is the best I can do.
Answer:
Angle 2
Step-by-step explanation:
Remember the X, whatever is opposite to the given angle.