Answer:
Option C.
Step-by-step explanation:
In △ONM and △SRQ,
We need to find the value of x that will make △ONM similar to △SRQ by the SAS similarity theorem.
According to SAS similarity theorem, two triangle are similar if two corresponding sides in both triangles are proportional and the included angle in both are congruent.
It is given that
. So, both triangles are similar by SAS if
Substitute the given values.
Divide both sides by 8.
Therefore, the correct option is C.
Factoring is a common mathematical process used to break down the factors, or numbers, that multiply together to form another number. Some numbers have multiple factors.
<u>Explanation:</u>
Factoring polynomials involves breaking up a polynomial into simpler terms (the factors) such that when the terms are multiplied together they equal the original polynomial. Factoring helps solve complex equations so they are easier to work with. Factoring polynomials includes: Finding the greatest common factor.
Factoring (called "Factorizing" in the UK) is the process of finding the factors: Factoring: Finding what to multiply together to get an expression. It is like "splitting" an expression into a multiplication of simpler expressions.
Answer: C. 12.5
Step-by-step explanation:
Given : A manufacturer of new light bulbs claims the average lifetime of its long-life bulb is more than 4000 hours.
Population mean : 
Sample size : n= 100
Sample mean : 
Standard deviation: 
The value of test-statistic is given by :-

Hence, the value of the test statistic for this problem is 12.5.
This answer is going to be X=-5 because you are solving for X in the parentheses.
Using the Quadratic formula
your answer would be A and C