The value of the highlighted variables ave been determined a =6, b= 2 ,c= 6 , d = 2 , e = 6 , f = 6, g =1
<h3>What is an Expression ?</h3>An expression are mathematical statement consisting of variables , constants and mathematical operators .
The given expression is
a = 6
b= 2
c= 6
d = 2
e = 6
f = 6
g =1
Therefore the value of the highlighted variables ave been determined.
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According to given conditions, m+n is equal to 409.
Consider the diagram below.
In the hexagon ABCDEF, let
AB = BC = CD = 3;
DE = EF = FA = 5;
Arc BAF is equal to one-third of the circle's circumference.
Hence, ∠BCF = ∠BEF = 60°;
Similarly, ∠CBE = ∠CFE = 60°;
Let the point of intersection of BE and CF be P, BE and AD be Q and CF and AD be R.
∴ Δ EFP and Δ BCP are equilateral, and so Δ PQR is also equilateral.
Also, ∠ BAD and ∠ BED subtend the same arc and so do ∠ ABE and ∠ ADE.
∴ Δ ABQ is similar to Δ EDQ
Also,
and
On solving these simultaneous equations, we get AD = 360/49
∴ m + n = 409.
To learn more about similarity of triangles, refer to this link:
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