Answer:
1. No
2. No
3. Yes
4. Yes
Step-by-step explanation:
The diagram has been attached
The total angle in a triangle is 180°
<CAD=45°
<ACD=90°
Therefore <ADB=45°
1. ∠ADB = 30° no
ADC = 90 - 45 = 45
∠BDC = 90 - 65 = 25
∠ADB = 45 - 25 = 20
2.△ABD ∼ △ACD no going
by law of sines
3.CD = 33.7 centimeters => yes
4.BD = 37.2 centimeters => yes
Given
The formula for the sum of an infinite geometric series
used to convert 0.23 to a fraction
Find out the values of a1 and r
To proof
As given in the question
The series is infinte geometric series
The geometric is mostly in the form a , ar , ar² ,............
s = a + ar + ar² + ar³...........
Where a = first term
r = common ratio
The series is infinte geometric series i.e 0.2323...
thus it is written in the form
s = 0.23 + 0.0023 + 0.000023 +...........
now written in the fraction form
we get
compare this series with the
s = a + ar + ar² + ar³...........
Thus
we get
a1 = 0.23
r = 0.01
Hence proved