Answer:
62.5 mph
Step-by-step explanation:
Given that :
Peter :
Speed = 50mph
Start Time = 9 a. M
Emily :
Start time = 9:30
Speed = x
In other to catch up at 11:30 :
Peter (11:30 - 9:00) = 2hours 30 minutes = 2.5 hrs
Total distance moved by Peter :
Speed * time = 50 * 2.5 = 125miles
For Emily to cover 125 miles in (11:30 - 9:30) = 2 hours
Speed = distance / time
Speed = 125 miles / 2 hours
Speed = 62.5 miles per hour
Answer:
12a³+2a²+23a+18
Step-by-step explanation:
(3a+2)(4a²-2a+9)=
12a³-6a²+27a+8a²-4a+18=
12a³+2a²+23a+18
If you need more explanation, reply to this answer.
Slope = change in y / change in x
Use the two pints shown on the graph.
Slope = ( 0- -2) / ( -6 -2)
Slope = 2/-8
Slope = -1/4
answer: slope = -1/4
Answer:
x° = ∠OBR = ∠ABC (base angles of a cyclic isosceles trapezoid)
Step-by-step explanation:
APRB form a cyclic trapezoid
∠APO = x° (Base angle of an isosceles triangle)
∠OPR = ∠ORP (Base angle of an isosceles triangle)
∠ORB = ∠OBR (Base angle of an isosceles triangle)
∠APO + ∠OPR + ∠OBR = 180° (Sum of opposite angles in a cyclic quadrilateral)
Similarly;
∠ORB + ∠ORP + x° = 180°
Since ∠APO = x° ∠ORB = ∠OBR and ∠OPR = ∠ORP we put
We also have;
∠OPR = ∠AOP = ∠BOR (Alternate interior angles of parallel lines)
Hence 2·x° + ∠AOP = 180° (Sum of angles in a triangle) = 2·∠OBR + ∠BOR
Therefore, 2·x° = 2·∠OBR, x° = ∠OBR = ∠ABC.
Any unknown number in an equation you represent with a variable
