Answer: 12.5
Step-by-step explanation:
The factored expression of m(2a+b)-n(2a+b)+2n(2a+b) is (m + n)(2a + b)
<h3>How to factor the expression?</h3>
The expression is given as:
m(2a+b)-n(2a+b)+2n(2a+b)
Factor out 2a + b
m(2a+b)-n(2a+b)+2n(2a+b) = (m - n + 2n)(2a + b)
Evaluate the like terms
m(2a+b)-n(2a+b)+2n(2a+b) = (m + n)(2a + b)
Hence, the factored expression of m(2a+b)-n(2a+b)+2n(2a+b) is (m + n)(2a + b)
Read more about factored expressions at:
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-2x +7 = 3x - 8
Move the variable to the left-hand side and change its sign
-2x -3x+ 7 = -8
Move the constant to the right-hand side and change its sign
-2x -3x = -8 -7
Collect like terms
-5x = -15
Divide both sides of the equation by -5
x=3
Answer:
The value is 
Step-by-step explanation:
From the question we are told that
The population proportion is 
The sample size is n = 343
Generally given that the ample size is large enough , i.e n > 30 then the mean of this sampling distribution is mathematically represent

Generally the standard deviation is mathematically represented as

=>
=> 
Generally the the probability that the sample proportion will differ from the population proportion by less than 4% is mathematically represented as



=> 
From the z table the area under the normal curve to the left corresponding to 1.887 and - 1.887 is

and

So

=> 
Answer:
Angles that are congruent are complementary to the same angle
Step-by-step explanation:
see that attached figure to better understand the problem
we know that
Two angles are complementary if their sum is equal to 

-----> equation A

so
-----> equation B
so
-----> equation C
Substitute equation A in equation C
So

That means------> angles ∠KLC and ∠KJC------> are complementary angles
therefore
the answer is
Angles that are congruent are complementary to the same angle