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°
<u><em>The equation is already in the standard form.
</em></u>
=
10
x
+
5
Answer:
what do the answer choices say?
The answer is 18. You add 5 to both sides of the equation. the 5 cancels out. You are left with 2/3x=12. Then you divide 12 by 2/3 to get x. 12 divided by 2/3 is 18
