Answer:
x = 22°
w = 30°
y = 30°
z = 52°
Step-by-step explanation:
From ΔACD,
AD is the diameter and ∠ACD is the angle subtended by the diameter.
Therefore, m∠ACD = 90°
By triangle sum theorem,
m∠DAC + m∠ACD + m∠CDA = 180°
w° + 90° + 60° = 180°
w = 180 - 150
w = 30°
AB║ED and AD is a transversal line.
Therefore, m∠BAD = m∠ADE
(w + 22)° = z°
30 + 22 = z
z = 52°
Since, ∠CEB and ∠BAC are the inscribed angles subtended by the same arc BC,
Therefore, m∠CEB = m∠BAC
x = 22°
Similarly, ∠CED and ∠DAC are the inscribed angles subtended by the same arc CD,
m∠CED = m∠DAC = 30°
y = 30°
Answer:
WHat ????
Step-by-step explanation:
3x + 1 = 1/3x + 9 Multiply through by 3
<span>9x + 3 = x + 27 Subtract x </span>
<span>8x + 3 = 27 Subtract 3 </span>
<span>8x = 24 </span>
<span>x = 3 </span>
<span>AK = 3*3 + 1 = 10 </span>
<span>AB = 2*AK = 20</span>
First, look at the digits less than one one-hundredth (

, or .01):
0.00416
See if that number is closer to the higher or lower hundredth:
(if the first digit is 5 or greater, then higher;
if the first digit is 4 or lower, then lower)
Since 4 is closer to the lower hundred, round down
0.00416 -> 0.00000
Add this to the digits we didn't touch:
<span>17,546.32000 + 0.00000 = 17,546.32
</span>17,546.32416 rounded to the nearest hundredth is
C. <span>
17,546.32</span>