Firstly, let's convert 10x + 2y = -2 to slope-intercept form (y = mx + b):
10x + 2y = -2
2y = -10x - 2
y = -5x - 2/5
The slope is -5. Parallel lines have the same slope; the question provides the y-int (12), so our equation is:
y = -5x + 12
Hope this helps.
Answer:
The answer is below
Step-by-step explanation:
∠EFG and ∠GFH are a linear pair, m∠EFG = 3n+ 21, and m∠GFH = 2n + 34. What are m∠EFG and m∠GFH?
Solution:
Two angles are said to form a linear pair if they share a base. Linear pair angles are adjacent angles formed along a line as a result of the intersection of two lines. Linear pairs are always supplementary (that is they add up to 180°).
m∠EFG = 3n + 21, m∠GFH = 2n + 34. Both angles form linear pairs, hence:
m∠EFG + m∠GFH = 180°
3n + 21 + (2n + 34) = 180
3n + 2n + 21 + 34 = 180
5n + 55 = 180
5n = 125
n = 25
Therefore, m∠EFG = 3(25) + 21 = 96°, m∠GFH = 2(25) + 34 = 84°
Answer:
Salaried pay is preferable for a new employee
Step-by-step explanation:
<u>As per table, hours worked per week:</u>
- 0+ 8.5+ 9.5+ 7.5+ 8+ 8.5+ 4 = 46
<u>Employee gets paid for 46 hours per week:</u>
- $40*14 + (46- 40)*$21 = $686
<u>Average yearly salary would be:</u>
<u>Comparing with annual salary, we see:</u>
As we see, hourly employees get paid less, so the new employee should choose annual salary option
Answer:
see explanation
Step-by-step explanation:
The diagonals of a parallelogram bisect each other , then
CO = OA = b
DO = OB = a
(a)
CA = CO + OA = b + b = 2b
(b)
DC = DO + OC = a - b
(c)
CB = CO + OB = b + a = a + b
Parallelograms. Rectangles. Trapezoids.
