Step-by-step explanation:
As these two triangles are similar we know a few things:
Their respective angles will have the same measure
Their respective sides will be proportional to each other.
Knowing this, we can sole for x by creating a proportion of the two given sides
Now we can solve for x
Knowing that the respective angles will be equal we can create this equation to solve for y
And knowing that, again, the angles will be equal to each other If we solve for angle E, we can know the measure of angle H
We are given two of the angles of GEF and the sum of the angles of a triangle is always 180. We can setup an equation as follows
Answer: D) vertical angles theorem, alternate interior angles theorem
Angle 5 = Angle 6 by the alternate interior angles theorem
Angle 5 = angle 4 by the vertical angles theorem
By the transitive property, we can then say angle 4 = angle 6. These angles are also corresponding angles.
We won't use the angle addition theorem or the right angles theorem.
Answer:
16
Step-by-step explanation:
Here we will show you how to calculate 6 divided by 3/8. We will give you the answer in fraction form and in decimal form.
Here is 6 divided by 3/8 displayed mathematically in colors:
6
÷
3
8
The numbers in 6 divided by 3/8 are labeled below:
6 = whole number
3 = numerator
8 = denominator
To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:
6 x 8
3
=
48
3
Thus, the answer to 6 divided by 3/8 in fraction form is:
48
3
To make the answer to 6 divided by 3/8 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:
48 / 3 = 16
The answer is rounded to the nearest two decimal points if necessary.
48/3 can be simplified to 16/1.
16/1 is an improper fraction and should be written as 16.
Answer:
Option D.
Step-by-step explanation:
Note: The given function is incomplete. Consider the given function as .
The number of members at month t is
where,
N is the initial number of members.
r is the rate of increase.
t is number of months
Here, N is constant. So, option A is incorrect.
N is initial value and (1+r) is growth factor. So, option B is incorrect.
The given function is an exponential function.
The value of M is a product of N and a factor that does not depend on N.
Therefore, the correct option is D.
3+9+0+5+2= 19
19 is not divisible by 3 so the answer is no