Find the value of X. Write your answer in simplest form.
What does X equal?

Given:

Given that the figure of similar triangles.

The altitude of the triangle is x.

The length of the left part is 30.

The length of the right part is 15.

We need to determine the value of x.

Value of x:

The value of x can be determined using the geometric mean theorem.

Thus, we have;

Substituting the values, we have;

Cross multiplying, we get;

Taking square root on both sides, we have;

Thus, the value of x is 15√2

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

4.5%

step-by-step explanation: