Answer:
(a) Theorem 9
Step-by-step explanation:
Any of the given theorems can be used to prove lines are parallel. We need to find the one that is applicable to the given geometry.
<h3>Analysis</h3>
The marked angles are between the parallel lines (interior) and on opposite sides of the transversal (alternate).
Theorem 9 applies to congruent alternate interior angles.
Answer:
Graph of the inequality 3y-2x>-18 is given below.
Step-by-step explanation:
We are given the inequality, 3y-2x>-18
Now, using the 'Zero Test', which states that,
After substituting the point (0,0) in the inequality, if the result is true, then the solution region is towards the origin. If the result is false, then the solution region is away from the origin'.
So, after substituting (0,0) in 3y-2x>-18, we get,
3\times 0-2\times 0>-18
i.e. 0 > -18, which is true.
Thus, the solution region is towards the origin.
Hence, the graph of the inequality 3y-2x>-18 is given below.
Answer:
96,220
Step-by-step explanation:
187,400 x .3 (30%)= 56,220
56220+40000= *96,220
Answer:
5
Step-by-step explanation:
To divide fractions, we multiply the first fraction by the <u>reciprocal </u>of the second fraction. (Seven over one)

Now, we convert the fraction into a mixed fraction.

<em>The quotient of 5/6 and 1/7 is 5 5/6</em>
Answer:
the number is 25
Step-by-step explanation:
If the number is n, then twenty-two more is n + 22
which equals 47, so n+ 22 = 47
n = 47 - 22 = 25