Answer:
Step-by-step explanation:
It is given that a small town’s raffle has 85 entries and 3 gift baskets that three different people could win.
Total number of entries = 85
Total number of gift baskets = 3
We need to find the probability of winning a gift basket.
Therefore, the required probability is .
Answer:
0.2793
Step-by-step explanation:
We are asked to convert 16° to radians.
#We know that 1° is equal to π/180 or 0.01745rad.
To convert any angle degrees to radians, we multiply it by π/180:
Hence, the radians equivalent of 16° is 0.2793
Answer:
∠ADB = γ/2 +90°
Step-by-step explanation:
Here's one way to show the measure of ∠ADB.
∠ADB = 180° - (α + β) . . . . . sum of angles in ΔABD
∠ADB + (2α +β) + γ + (2β +α) = 360° . . . . . sum of angles in DXCY
Substituting for (α + β) in the second equation, we get ...
∠ADB + 3(180° - ∠ADB) + γ = 360°
180° + γ = 2(∠ADB) . . . . . . add 2(∠ADB)-360°
∠ADB = γ/2 + 90° . . . . . . . divide by 2
_____
To find angles CXD and CYD, we observe that these are exterior angles to triangles AXB and AYB, respectively. As such, those angles are equal to the sum of the remote interior angles, taking into account that AY and BX are angle bisectors.
