The RF is 9. You could go to Easycalculations.com/statics/cumulative/relativefrequency to double check :)
Answer:
x = 17
Step-by-step explanation:
Since the triangles are similar then corresponding angles are congruent.
∠ I = ∠P ← substitute values and solve for x
3x + 4 = 72 - x ( add x to both sides )
4x + 4 = 72 ( subtract 4 from both sides )
4x = 68 ( divide both sides by 4 )
x = 17
Answer:
or
Step-by-step explanation:
We are going to see if the exponential curve is of the form:
, (
).
If you are given the 
intercept, then 
is easy to find.
It is just the coordinate of the intercept is your value for .
(Why? The intercept happens when 
. Replacing 
with 0 gives 
. This says when 
.)
So 
.
So our function so far looks like this:
Now to find 
we need another point. We have two more points. So we will find using one of them and verify for our resulting equation works for the other.
Let's do this.
We are given 
is a point on our curve.
So when 
, 
.
Divide both sides by 8:
Reduce the fraction:
So the equation if it works out for the other point given is:
Let's try it. So the last point given that we need to satisfy is 
.
This says when 
, 
.
Let's replace with 2 and see what we get for 
:
So we are good. We have found an equation satisfying all 3 points given.
The equation is .
To find the value of x we first need to find the missing angle in the triangle.
To do that we are gonna add the angles we already have.
64 + 45 = 109
Angles in a triangle measures 180 so to get the missing angle we are gonna subtract 109 from 180
180 - 109 = 71 deg
The missing angle in the triangle is 71 deg
Angles on a straight line adds up to 10 so to find x we are gonna subtract 71 from 180
180 - 71 = 109 degrees
Therefore x is 109 degrees.
