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°
The vertical line that goes through the vortex
Answer:
about $709 per month
Step-by-step explanation:
Okay, so in order to solve this question, we should follow this formula:
3,000 + 24x 
20,000
where 24 is the amount of time we have and x is the variable we are using as to show the unknown amount of money earned per month.
3,000 + 24x 20,000
-3,000 -3,000
24x 17,000
/24 /24
x approximately 709 dollars
so, we substitute x for 709
3,000 + 24(709) 20,000
3,000 + 17,016 20,000
20,016 20,000
which is true
Hope this helps :)
Answer:
A 16°
B -8°
C 6°
D -16°
E -4°
Step-by-step explanation:
Look at 0° and 10°. There are 5 lines from one to the other, so each line represents 2°.
A
3 lines above 10° = 10° + 3 * 2° = 10° + 6° = 16°
B
1 lines above -10° = -10° + 2° = -8°
C
3 lines above 0° = 0° + 3 * 2° = 0° + 6° = 6°
D
2 lines above -20° = -20° + 2 * 2° = -20° + 4° = -16°
E
3 lines above -10° = -10° + 3 * 2° = -10° + 6° = -4°
15% and the corresponding 0.15 is by necessity unit-less; it's just a multiplier. If you run up a $1 bill and wish to tip 15%, multiply $1 by 0.15, obtaining $0.15.
Then the total due would be $1 plus $0.15, or $1.15.
Note that $0.15
-------- = 0.15 is unit-less
$1
