None of the offered choices is correct.
The radical cannot be simplified. If rewritten, it must be written as something like
![x \sqrt[3]{ \frac{6}{x}}](https://tex.z-dn.net/?f=%20x%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7B6%7D%7Bx%7D%7D%20)
or
![\frac{6x}{ \sqrt[3]{36x}}](https://tex.z-dn.net/?f=%20%5Cfrac%7B6x%7D%7B%20%5Csqrt%5B3%5D%7B36x%7D%7D%20)
Answer:
ΔLMN ≅ ΔLQP by (SAA)
Step-by-step explanation:
It is given that line (NM) is congruent to the line (PQ), meaning they have the same measure. This is signified by the small red line on each of these sides.
Moreover, it is also given that angle (MNL) is congruent to angle (QPL), this is shown by the red arc around these angles.
Finally one can figure out that angle (NLM) is congruent to angle (PLQ) by the vertical angles theorem. The verticle angles theorem states that when two lines intersect, the opposite angles are congruent.
Thus the two triangles are congruent by side-angle-angle postulate, abbreviated as (SAA).
Answer: the third option is the correct answer
Step-by-step explanation:
From the given right angle triangle,
The hypotenuse of the right angle triangle is 16√3
With m∠30 as the reference angle,
the adjacent side of the right angle triangle is x.
the opposite side of the right angle triangle is y.
To determine x, we would apply
the cosine trigonometric ratio.
Cos θ, = adjacent side/hypotenuse. Therefore,
Cos 30 = x/16√3
√3/2 = x/16√3
x = √3/2 × 16√3 = 3 × 8
x = 24
To determine y, we would apply
the Sine trigonometric ratio.
Sin θ, = opposite side/hypotenuse. Therefore,
Sin 30 = y/16√3
1/2 = y/16√3
y = 16√3 × 1/2
y = 8√3
Answer:
The probability that she was on her next roll is 1/2
Step-by-step explanation:
If she does not roll 1,3 or 6, she wins
So if she rolls 2,4 and 6 , she wins
The probability of rolling each is 1/6 each
So the probability of rolling any of the three will be:
1/6 + 1/6 + 1/6 = 3/6 = 1/2
