The triangles ABD, ADC and ABC are similar (AA stands for "angle, angle" and means that the triangles have two of their angles equal).
If two triangles have two of their angles equal, the triangles are similar.
Therefore the sides of triangles are in proportion.

cross multiply

Use the Pythagorean theorem for calculate x:

Answer:
The percent of the parts are expected to fail before the 2100 hours is 0.15.
Step-by-step explanation:
Given :Life tests on a helicopter rotor bearing give a population mean value of 2500 hours and a population standard deviation of 135 hours.
To Find : If the specification requires that the bearing lasts at least 2100 hours, what percent of the parts are expected to fail before the 2100 hours?.
Solution:
We will use z score formula

Mean value = 
Standard deviation = 
We are supposed to find If the specification requires that the bearing lasts at least 2100 hours, what percent of the parts are expected to fail before the 2100 hours?
So we are supposed to find P(z<2100)
so, x = 2100
Substitute the values in the formula


Now to find P(z<2100) we will use z table
At z = −2.96 the value is 0.0015
So, In percent = 
Hence The percent of the parts are expected to fail before the 2100 hours is 0.15.
The Binomial
have to be add to the polynomial
to get polynomial that does not contain x.
<h3>What is binomial?</h3>
A mathematical expression consisting of two terms connected by a plus sign or minus sign.
Example: x + 2 is a binomial, where x and 2 are two separate terms.
<h3>What is polynomial?</h3>
A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer
According to question
polynomial
When added to binomial
=
(as
got cancelled )
and this polynomial does not contain x
Hence, Binomial
have to be add to polynomial
to get polynomial that does not contain x.
To know more about Binomial and polynomial here :
brainly.com/question/1698358?\
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