Answer:
x = 82°
y = 59°
z = 39°
Step-by-step explanation:
∠x = 1/2(134° + 30°) = 82°
∠z = 180° - 59° - 82° = 39°
arc DF = 2(39°) = 78°
arc DB + arc DF = 134° + 78° = 212°
draw a diameter down from point B to the opposite side of the circle, call that point P:
arc BDP = 180°
(arc BDF) 212° - 180° = 32° (arc PF)
∠PBG = 1/2(32°) = 16°
∠DEB = 1/2(134°) = 67°
∠DBE = 180° - 59° - 67° = 54°
(∠DBE) 54° - (∠z) 39° + (∠PBG) 16° = (∠PBE) 31°
y = 90°- 31° = 59°
Answer: 117
Step-by-step explanation:
Formula for arithmetic sequence is:
= a + (n - 1)d
22nd term = a + (n - 1)d
= a + (22 - 1)d = a + 21d
where, a = 12
d = 17 - 12 = 5.
Therefore, 22nd term will be:
= a + 21d
= 12 + 21(5)
= 12 + 105
= 117
The 22nd term is 117
^ is in the thousadths place so look for the number before it, which is 3. 3 is less than 5 so 6 stays as is so it becomes 1.736
So triangle PQR is scaled at 4*triangle ABC
So if AB = 16 then PQ = 16*4 which is 64 so the third option
Answer:
B and D
Step-by-step explanation:
B because if you dont and it is a real cop you would get an even bigger fine. D because you never know.
