Answer:
-10
Step-by-step explanation:
divide both sides by -4
simplify to v+8=-2
subtract 8 from both sides
v=-10
Answer:
x = 27°
Step-by-step explanation:
m<D
m<CBE = 63° (Given)
m<CBE = m<ABD (vertical angles)
m<ABD = 63° (substitution)
x = 180 - (m<ABD + m<D) (Sum of triangle)
x = 180 - (90 + 63)
x = 27°
Given that Relationship B has a lesser rate than Relationship A and that the graph representing Relationship A is a f<span><span>irst-quadrant graph showing a ray from the origin through the points
(2, 3) and (4, 6) where the horizontal axis label is Time in weeks and the vertical axis
label is Plant growth in inches.</span>
The rate of relationship A is given by the slope of the graph as follows:

To obtain which table could represent Relationship B, we check the slopes of the tables and see which has a lesser slope.
For table A.
Time (weeks) 3 6 8 10
Plant growth (in.) 2.25 4.5 6 7.5

For table B.
Time (weeks) 3 6 8 10
Plant growth (in.) 4.8 9.6 12.8 16
</span><span><span>

</span>
For tabe C.
Time (weeks) 3 4 6 9
Plant growth (in.) 5.4 7.2 10.8 16.2
</span><span>
For table D.
Time (weeks) 3 4 6 9
Plant growth (in.) 6.3 8.4 12.6 18.9</span>
<span>

</span>
Therefore, the table that could represent Relationship B is table A.
Answer:
Jill earned $22,500 more total income for the year.
Step-by-step explanation:
Answer: Choice C) Same-side interior angles
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Angle 4 and angle 6 are on the same side, in this case the right hand side of the transversal line (line t). In addition, they are on the interior of the "train tracks" horizontal lines (line a and line b). Combine this and this is why the two angles are same-side interior angles
Side note: if line a is parallel to line b, then angle 4 and angle 6 add to 180 degrees. At this point, they are considered supplementary.