Since those lines are parallel, those two angles are equal. Therefore:
3x+15=105
3x=90
x=30
The right answer for the question that is being asked and shown above is that: "c. Events A and B are dependent because P(A|B) = P(A) x P(B)."<span>The probability that Shelly will go to a movie, given that Danielle goes to a movie, is 0.87. </span>
Answer:
"Evaluation" mostly means "simplifying an expression down to a single numerical value". Sometimes you will be given a numerical expression, where all you have to do is simplify; that is more of an order-of-operations kind of question
example: So let we are given a polynomial function as:
and we are aksed to evaluate this polynomial at 
Then the value of the polynomial will be:

Hence on evaluating the polynomial function f(x) at
we get the value of the polynomial function as
.
Answer:
In order to sketch a parabola, one will typically use the y-intercept, the x-intercepts, and the vertex.
Step-by-step explanation:
In order to sketch a parabola, one will typically use the given equation in standard form,
, and:
- The y-intercept – the point where the parabola crosses the vertical axis – by substituting 0 for all <em>x</em> values in the given equation and solving for <em>y</em>.
- The x-intercepts – the points where the parabola crosses the horizontal axis – by setting the given equation equal to 0 (i.e., <em>y</em> = 0) and finding the factors (or roots).
- The vertex – the point of symmetry where the parabola changes direction and curves up or down – by using
to find the x-coordinate then plugging that value into the given equation to find the y-coordinate.
Answer:
Step-by-step explanation:
To solve this you need the Law of sines
- sin A / a = sin B / b = sin C / c
a, b, c are the sides opposite to angles A, B and C respectively
Applied to the given triangle we have one side given, the opposite angle to be found.
- sin 28 / x = sin (180 - 28 - 126) / 8.2
- sin 28 / x = sin 26 / 8.2
- x = 8.2 sin 28 / sin 26
- x = 8.8 (rounded)