Maths, Addmaths and Statistics: Post your doubts here!

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1 Apply fundamental principle of proportion to find x when x/3 = 12/30
A 72
B 12.5
C 2
D 12

2 If (A – 3) : A = (A+6) : (A + 3), then A is

A -3/A
B -1/2
C -3/2
D -5/2
1 seems wrong, the value of x = 1.2 if proportionality is to be applied.
 
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Please tell me how to get the answer of part bi, ii, iii .

thanku
 

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t
from the previous diagram you can get AOB by dividing 360/5 = 72. Now, the OBC and OAC = 90 as they are both tangents touching the radius. So ACB= x

x+90+90+72=360
x=108

reflex ACB= 360-108 = 252

second part

5( 252/360 * 2pi r)

5(1.4* pi r)

7 pi r
k =7
thanks for both of the answers :)
 
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Please tell me how to get the answer of part bi, ii, iii .

thanku
(b) (i) Trapezium is the answer, reason: BE = kq, this means that it will be a horizontal line similar to AC of longer/shorter length. If you draw it, you'll see that it's a trapezium.
(ii) AE = AB + BE = p + kq (triangle law)
(iii) DA = 3p + q
D, A and E are collinear,
Therefore,
AE = x DA (x is a constant)
p + kq = 3xp + xq
Comparing p,
1 = 3x
x = 1/3
Comparing q,
k = x
k = 1/3.
 
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