Answer:
C. 
Step-by-step explanation:
We have been given an image of two parallel lines crossed by a transversal. We are asked to find the measure of m.
We can see that angle that measure 78 degrees and angle m are consecutive interior angles.
Since we know that consecutive interior angles are supplementary, so we can set an equation to find the measure of m as:



Therefore, the value of m is 102 and option C is the correct choice.
Answer:
-3c^2 +6
Step-by-step explanation:
The equation will be an identity (0=0) when M is equal to the contents of the parentheses. That polynomial can be used directly, or it can be simplified by combining the c^2 terms.
The contents of parentheses simplify as follows:
... (4c^2 -7c^2 +6) = (c^2(4 -7) +6) = (-3c^2 +6)
Answer:
Step-by-step explanation:
Hello!
A city council member wanted to know how her constituents felt about a planned rezoning. She randomly selected 75 names from the city phone directory and conducted a phone survey.
Identify the population and sample in this setting.
The population of interest is confirmed by all the individuals or experimental units that the researcher wants to study. The sample is normally a portion of the population randomly selected and representative of it. Since in most cases it is impossible to study the whole population the sample is taken. Then after the experiment is conducted, the conclusions reached are extrapolated to the whole population.
Normally is easier to identify the sample first and then the population, in this example, the sample is "75 names from the city phone directory" then the population will be "people registered in the city phone directory"
The correct option is the first one.
> The population is everyone listed in the city phone directory; the sample is the 75 people selected. CORRECT
> The population is residents of the city; the sample is the registered voters in the city. INCORRECT
> The population is registered voters in the city; the sample is everyone listed in the city phone directory. INCORRECT
I hope this helps!
Answer:
118
Step by Step Explanation:
Since this is the substitution property, you will basically be replacing things.
So as stated in the first step, angle GFI is equal to 118, and angle GFE+EFL equals angle GFI.
So using substitution, GFI is 118 degrees.
The answer is 226
Hope this helped!