Angle BAC = (180 - 114) degrees = 66 degrees [angle on a straight line]
Angle OCA = Angle OBA = 90 degrees [angle at the point where the tangent and the radius meet]
Thus, the measure of arc BC = (360 - 66 - 90 - 90) degrees = 114 degrees [sum of interior angles of a quadrilateral]
Angle CDE = (180 - 124) degrees = 56 degrees [angle on a straight line]
Angle OCD = Angle OED = 90 degrees [angle at the point where the tangent and the radius meet]
Thus, the measure of arc CE = (360 - 56 - 90 - 90) degrees = 124 degrees [sum of interior angles of a quadrilateral]
Given that the measure of arc BC is 114 degrees and the measure of arc CE is 124 degrees, thus the measure of arc BE = (360 - 114 - 124) degrees = 122 degrees [angle at a point]
Angle OBF = Angle OEF = 90 degrees [angle at the point where the tangent and the radius meet]
Thus, angle BFE = (360 - 122 - 90 - 90) degrees = 58 degrees.
3 1/2 hours because Rodriquez graded one hour of papers and if his assistant grades the class papers in 4 1/2 hours, it should only take him 3 1/2 hours since Rodriquez helped with an hour of it
Time for fractions!!!
I’m going to set a rate of miles per gallon and then cross multiply to get me answer.
41miles/gallon = 617.3/xgallons
617.3 multiplied by 1 and then divided by 41 = about 15.05 gallons
A reasonable estimate then is 15 and a half gallons, because rather than measuring down to the hundredths, the next closest and reasonable measurement is 15 and a half or under.
Comment if you don’t understand and I’ll try to help.
Answer:
No options
Step-by-step explanation:
Knowing that V=in/min = x(t)/t and according to the graph,
V=20in/20min=in/min, so
No options since speed is not inches per minute, spedd (V) = inches over minutes
7x = 40
7x + 4y = 40
The first equation represents that in total, the 7 tickets whether they are for adults or children costs $40.
The second equation represents that x = adult and y = children tickets both add up to equal $40.
