The correct answer is option B which is the set of values that could be the side lengths of a 30-60-90 triangle are (6,6√3, 12).
<h3>What is the right-angled triangle?</h3>
A triangle has three angles of 30-60 and 90 degrees in which the two sides are perpendicular to each other.
The three sides of the triangle will be calculated by applying the Pythagorean theorem:-
The sum of the square sides will be equal to the square of the third side.
For sides (6,6√3, 12)
12² = 6² + (6√3)²
144 = 36 + (36 x 3)
144 = 36 + 108
144 = 144
Therefore the correct answer is option B which is the set of values that could be the side lengths of a 30-60-90 triangle (6,6√3, 12).
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The least common multiple between 3 and 4 is 12, so we can use this fact to rewrite both 1/3 and 1/4 in 12ths:
We're left with an answer of
7/12, which can't be reduced.
x=6
(6x+4) = (8x-8)
∠3 and ∠6 have to be equal since they are opposite interior angles (these angles are always equal to each other). Opposite interior angles prove that two lines are parallel if they are equal, so you just set them equal to each other and solve for x.
(6x+4) = (8x-8)
-6x -6x
4 = (2x-8)
+8 +8
12 = 2x
/2 /2
6 = x
CHECK
(6x+4) = (8x-8)
(6[6]+4) = (8[6]-8)
(36+4) = (48-8)
40 = 40
Answer:
B The graph of g(x) is the graph of f(x) shifted to the right 6 unit
