Answer:
The solution of the inequality is x ≤ -4. A graph of the solution should have a vertical line passing through x = -4 and be shaded to the left of x = -4
Step-by-step explanation:
-7x + 13 ≥ 41
Subtract 13 from both sides
-7x ≥ 28
Dividing both sides by the -7 changes the inequality sign and we have
x ≤ -4
Hence, the solution of the inequality is x ≤ -4 and the graph of the solution should have a vertical line passing through x = -4 and it should be shaded to the left of x = -4 indicating that only numbers less than or equal to -4 are possible solutions of the inequality.
Hope this Helps!!!
Answer is choice A) j || k by the Converse of the Same Side Interior Angles Theorem
Lines j and k are the upward slanted lines on the left and right respectively. The transversal we only care about is line k. Line g is extra info put in there most likely to throw you off.
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The Same Side Interior Angles Theorem says that if two lines are parallel, then the same side interior angles (formed by the transversal cut) are supplementary. Those two same side interior angles add to 180 degrees. The converse reverses the direction of the theorem.
The converse says that if we know the same side interior angles are supplementary, then it leads to the two parallel looking lines to actually being parallel. So this is one way to check parallel-ness of two lines.
The solutions for
is option 3. 
Step-by-step explanation:
Step 1:
First, we must bring the equation to the form of 
So
becomes 
The value of a is the coefficient of the
term, the value of b is the coefficient of x term and c is the coefficient of the constant term.
Comparing the above equation to
we get
and 
We have the formula 
Step 2:
By substituting the known values, we get


This is the third option.
Answer:
650,000,000
Step-by-step explanation:
6.5x10^8