Answer:
< B = 180-30-65=85°
< E = 85°
< D = 30°
< C = 65°
BC = 20/35 × 28 = 16
<D = 30
< C = 65
<B = <E = 85
16 = BC
Step-by-step explanation:
ABC ~ Triangle DEF
<A = <D = 30
< C = <F = 65
Since they are similar triangles
A+ C + B = 180 since the angles of a triangle = 180
30+65+B =180
95+ B = 180
<B = 180 -95 = 85
The triangles are similar so the sides are proportional
AB BC
---- = ---------
DE EF
20 BC
35 28
Using cross products
20*28 = 35 BC
Divide each side by 35
20*28/35 = 35/35 BC
1932
just multiply
No. Of white marble n(W) = 2
No. Of black marble n(B) = 1
Total no. Of marble N = 2 + 1 = 3
Prob(1st is white) = n(W)/N = 2/3
Prob(1st is black) = n(B)/N = 1/3
D
195
