What is the ratio of students who dance to the total number of students?
1 answer:
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Answer:
Option 4: A ║B
Step-by-step explanation:
Given the following statements:
is ⊥
is ⊥
We can apply the <u>Lines Perpendicular to a Transversal Theorem</u>, which states that if two lines intersect and are perpendicular to that same transversal, then those two lines are parallel.
In the given conditional statement, ⊥
and
⊥
, line
is the transversal that cuts through both lines
and
.
Therefore, lines and
are perpendicular to line
. Hence, by the Lines Perpendicular to a Transversal Theorem,
║
.
Answer:
Answer C --> y = 1/3 sin(x)
Step-by-step explanation:
When you are finding the inverse of a function, you are trying to obtain the function that applied to the one given gives you as result EXACTLY "x".
You know that the function sin(x) is the inverse of Arcsin(x), because when you applied it as follows, you obtain x (by cancelling out Arcsin and "liberating" the argument inside it: "x") :
But in this case applying sin (x) to Arcsin (3x) will not render just x, because the argument that ARcsin is carrying is not just "x" but "3x":
So we need to divide by 3 as well in order to obtain just "x" after applying our inverse. The function that does such is the third one listed (C), sinc it also has a multiplicative 1/3 that will cancel the factor 3 we want to get rid of.