Step-by-step explanation:
The first thing we must observe is that the hourly rate for each candle is:
<em />
<em>scented candles:
</em>
(1/12) / (20/60)
Simplifying:
= (1/12) / (10/30)
= (1/12) / (5/15)
= (1/12) / (1/3)
= (3/12)
= (1/4) inches / hour
<em>Unscented candles:
</em>
(1/6) / (30/60)
Simplifying:
= (1/6) / (15/30)
= (1/6) / (3/6)
= (1/6) / (1/2)
= (2/6)
= (1/3) inches / hour
Answer:
The unscented candles burn faster at a rate of:
(1/3) inches / hour.
Answer:
m<CGD = 26°
m<CGF = 100°
Step-by-step explanation:
m<CGD = 2x - 2
m<EGF = 37
m<CGF = 7x + 2
Since GE bisects <DGF, m<DGF = 2*m<EGF.
m<DGF = 2*37 = 74°
m<CGD + m<DGF = m<CGF (angle addition postulate)
(2x - 2) + (74) = (7x + 2)
Find the value of x using the equation above.
2x - 2 + 74 = 7x + 2
Collect like terms
2x + 72 = 7x + 2
-2 + 72 = 7x - 2x
70 = 5x
70/5 = 5x/5
14 = x
x = 14
m<CGD = 2x - 2
Plug in the value of x
m<CGD = 2(14) - 2 = 28 - 2
m<CGD = 26°
m<CGF = 7x + 2
m<CGF = 7(14) + 2 = 98 + 2
m<CGF = 100°
(2,2)
hoped I helped
Sorry if its wrong
