Using angle bisector theroem, we have:

Solving for x, we get x=
or x=3.75
Answer:
it is a true
Step-by-step explanation:
because they mean the same thing just written differently
Answer:
f(x) = x² - 10x + 24
Step-by-step explanation:
The quadratic function has a graph that passes through the points (4,0) and (6,0).
Therefore, the graph has two x-intercepts at x = 4 and x = 6 and those are the roots of the equation.
So, (x - 4) and (x - 6) are two factors of the quadratic equation.
Then we can write the equation as
f(x) = (x - 4)(x - 6)
⇒ f(x) = x² - 4x - 6x + 24
⇒ f(x) = x² - 10x + 24
Hence, this is the required quadratic function in standard form. (Answer)
Given
The average daily balance is $15
The daily periodic rate = 0.06%
The number of days in the cycle is 30
Find out the monthly finance charge.
To proof
Let us assume that the monthly finance charge = x
As given in the question
The average daily balance = $15
daily periodic rate = 0.06%,
First convert 0.06% in decimal form

= 0.0006
Daily finance charge = 0.0006 × 15
= 0.009
number of days in the cycle is 30
now
monthly finance charge
Than the equation becomes
x = 15 × 0.0006 × 30
x = 0.009× 30
x = $0.27
Thus the monthly finance charge is $0.27
Hence proved