Answer:
a) m arc AD = 145
b) D = 10
Step-by-step explanation:
a) mAD can be found because triangle OCM can be shown to be congruent to triangle ODM.
The angle AOD is supplementary to DOB which we just showed to be congruent to the known 35° angle COB. Therefore AOD = 180 - 35 = 145°
The arc length is identical to the arc angle when measured between radii.
b) The radius OC = √(OM² + (CD/2)² = √(3² + 4²) = 5.
Diameter is twice radius = 10
Answer:
(-2,21)
Step-by-step explanation:
2 days ago, Paulo's commute time was halfway between his commute times 8 and 9 days ago.
8 days ago means that x-coordinate -8 represents this day. Count 8 units to the left and find that when x = -8, y = 24 minutes.
9 days ago means that x-coordinate -9 represents this day. Count 9 units to the left and find that when x = -9, y = 18 minutes.
Find halfway commute time between points (-8,24) and (-9,18):

then coordinates that Paulo should graph are
(-2, 21)
(-2 means 2 days ago, 21 is the halfway)
Answer:
199/25
Step-by-step explanation:
Answer:
Step-by-step explanation:
(-5) * (-3) * (-3) = -5 * -3 * -3 = 15 * -3 = -45