Line 1 and line 4 are parallel
Step-by-step explanation:
Two lines are said to be parallel if they have same slope.
In order to compare the lines given, we have to write them all in the same form, and then compare their slopes.
Line 1:
Applying distributive property,
Line 2:
Line 3:
Applying distributive property,
Line 4:
re-arranging,
Now we have rewritten all the lines in the form 
, where m is the slope. By comparing the values of m, we see:
Therefore, the lines which are parallel are line 1 and line 4.
Learn more about parallel and perpendicular lines:
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There is not enough information to determine whether the pentagons are congruent.
Answer:
A. You can replace ‘a number’ with a variable to represent an unknown value.
C. Product means the result of multiplying two numbers.
D. The coefficient is 15.
E. In algebraic notation, you can represent the product of a number and a variable by writing the number and variable next to each other.
Step-by-step explanation:
EDGE 2020
Answer:
We also know that we select a sample size of n =100 and on this case since the sample size is higher than 30 we can apply the central limit theorem and the distribution for the sample mean would be given by:
And the standard deviation for the sampling distribution would be:
So then the answer is TRUE
Step-by-step explanation:
Let X the random variable of interest and we know that the true mean and deviation for this case are given by:
We also know that we select a sample size of n =100 and on this case since the sample size is higher than 30 we can apply the central limit theorem and the distribution for the sample mean would be given by:
And the standard deviation for the sampling distribution would be:
So then the answer is TRUE
