Complementary and adjacent.
The two angles are complementary because they add up to 90°. It's given that line JL is perpendicular to line MN, and perpendicular means they form a 90° angle where they intersect.
The two angles are adjacent because they are next to each other.
This is pretty simple. Since there are 19.8 gallons and every gallon is 3.65$, you multiply 19.8 by 3.65 to get $72.27. It will cost 72.27$ to fill up the tank.
Points are (T,S) = (time, pounds), so you have (3.5, 605) and (10, 2100). Slope is (2100-605) / (10-3.5) = 1495/6.5 = 230. T is the independent variable (like x normally is in linear equations), so that narrows it down to choice A or choice D due to the slope. You can solve for b in y=mx+b or S = mT + b by plugging in one of the points: 2100 = 230(10) + b ===> b = -200. Therefore S = 230T - 200; S(12) = 230*12 - 200 = 2560 lbs [B]
<span>2) (a) Plug in 10 for x </span>
<span>(b) 10000 = 298.94x + 3215.48 </span>
<span>6784.52 = 298.94x </span>
<span>x = 6784.52/298.94 = 22.7 ===> in year 2023</span>
Answer:
x represents hours of babysitting
y represents hours of music lesson
hours on babysitting: 11
hours on music lessons: 7
Step-by-step explanation:
x+y=18
5x+12y=139
-5(x+y=18)
=-5x-5y=-90
(5x+12y=139) + (-5x-5y=-90)
7y=49
y=7
x+7=18
x=11
