What does the rest of the problem say?
An angle measures 110° less than the measure of its supplementary angle. What is the measure of each angle?
1 answer:
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Answer:
D.
Step-by-step explanation:
In the picture attached it can be seen that if the plane cuts a right rectangular prism through five of the six faces, a pentagon is created. The picture is just an example, any five faces are possible to create a pentagon
Answer:
Step-by-step explanation:
Since we are finding the x-intercepts, that implies that this is a parabola that opens either up or down as opposed to right or left. It would benefit us to know the equation of the parabola so we could factor it to find the roots (which are also known as the x-intercepts).
Here's what we know:
h = 1, k = 20, x = 0, and y = 20. Filling in the vertex form of a parabola is already halfway to factored, so we'll use that format as opposed to the standard form, which is
. The vertex form is
and filling in our values from above:
and
and
-4 = a. So the equation for the parabola is
. Now set it equal to 0 and factor.
and divide both sides by -4 to get:
and take the square root of both sides to get
± and then add 1 to both sides to get the x-intercepts (or roots or solutions or zeros...they're all the same).
x = 1 ±√5 and you're done!
Answer:
45 minutes
Step-by-step explanation:
Let, after time minutes, they meet again at the same point.
In time minutes, let Sony completes x lap while Iogan completes y laps. Note that x and y must be the counting numbers.
As Sonny took 15 minutes to drive 1 lap, so,
While Iogan Sonny took 9 minutes to drive 1 lap, so,
[from equation (i)]
As x,y must be counting number, so
(x,y)=(3,5),(6,10),...,(3n,5n) where n is a positive integer.
So, the minimum number of laps required are
x=3 and y=5 (when they meet for the first time)
Now, from equation (i),
The time required to meet them for the first time, t=15x3=45 minutes.