Answer:
$2561.99 a quarter
Step-by-step explanation:
Just add together what they pay every year, then multiply by 25.5% (because that's the quarterly premium.)
Annual cost = insurance + dental + vision
= 8900 + 772 + 375 = $10047 a year.
Quarterly cost = 25.5% of annual cost
Whenever you see of, think of multiplication!
25.5% = .255
Quarterly cost = .255 * 10047 = <u>$2561.99 a quarter</u>
The acceleration is given by the slope of the line. This line passes through the points (0, 2) and (3, 5), so it has slope
which means the acceleration over this 3 second interval is 1 m/s^2.
Remember that the <em>domain</em> is the set of all the x terms.
So in the graph shown here, notice that the x terms seem to be increasing in both a positive and negative direction and there seems to be no limit to how large or how small the x terms can get. So the x terms can be all positive and negative numbers, including decimals and fractions.
In other words, the x terms can be All Real Numbers.
So the domain is equal to the set of all real numbers or <em>R</em>.
The range is the set of all the y terms.
Notice that all the y terms are less than or equal to 9.
So the range is {y: y ≤ 9}.
Answer:
Step-by-step explanation:
1. p║ q
50+130 = 180
If the same side interior angles are supplementary angles then the lines are parallel.
2. p║ q
70 = 70
If the corresponding angles are congruent the lines are parallels.
4. p║ q
x = x
If alternating exterior angles are congruent then the lines are parallel.
5. we do not know if p is parallel with q
We have given that 2 vertical angles are congruent yet that is not enough to tell us about the relation between the 2 lines.
7. For the lines p and q to be parallel we need the corresponding angles 3x and 45 to be congruent so therefore equal in measure.
3x= 45 , divide both sides by 3
x= 15
For x = 15 the p║ q
8. For the lines p and q to be parallel we need the corresponding angles 120 and (2x+10) to be congruent so therefore equal in measure.
2x+10 = 120, subtract 10 from both sides
2x = 110, divide both sides by 2
x = 55
For x = 55 the p║ q
40 feet it would be the perimitter of the largen garden
