How can you find the gcf and common factors?

1 answer:

4 0

List the prime factors of each number.Multiply those factors both numbers have in common. If there are no common prime factors, the GCF is 1.
GCF and common factors are pretty much the same thing. GCF focuses only on the largest common while common focuses on them all.

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Which expression is equivilent to 6(3x-4)+2x

motikmotik

Answer:

44x,

Step-by-step explanation:

you can expand the brackets which equals 18x + 24 (or subtract 24 if the expression is 6(3x-4)) at the end of the equation you will add 2 which would give you 44x

4 0

2 years ago

Paragraph Proofs

charle [14.2K]

For the proof here kindly check the attachment.

We are given that $r\parallel s$ . Also, the transversal is shown. Let us take the first case, that of $\angle 1$ and $\angle 5$ . Please note that all other proofs will follow in a similar manner.

Let us begin, please have a nice look at the diagram. We will see that $\angle 1$ and $\angle 3$ are vertically opposite angles. We know that vertically opposite angles are congruent. Thus, $\angle 1$ and $\angle 3$ are congruent angles.

$\angle 1$ = $\angle 3$

Now, we know that $\angle 3$ and $\angle 5$ are alternate interior angles. We also, know that alternate interior angles are equal too. Thus, we have:

$\angle 3$ = $\angle 5$

From the above arguments it is clear that:

$\angle 1$ = $\angle 3$ = $\angle 3$ .

Thus, $\angle 1$ = $\angle 3$

We have proven the first instance. Please note that all other instances can be proved in a similar fashion.

For example, for $\angle 2$ and $\angle 6$ we can take $\angle 2$ and $\angle 4$ as vertically opposite angles thus making $\angle 2$ = $\angle 4$ . Now, $\angle 4$ and $\angle 6$ are alternate interior angles and thus $\angle 4$ and $\angle 6$ are equal. Thus, we have $\angle 2$ and $\angle 6$ .