What is LN? The image consists of a number line labelled from negative 4 to positive 16 in the interval of two. Points L, M and
1 answer:
<h3>Answer: A) 14</h3>
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Explanation:
Let's add point P at the location 0 on the number line.
The distance from L to P is 2 units. We can say LP = 2, ie segment LP is 2 units long.
Similarly, segment PN is 12 units long
Refer to the diagram below
The segments LP = 2 (red) and PN = 12 (blue) are then added to get the total distance from L to N. That total distance being LN = LP+PN = 2+12 = 14.
Point M is not used at all.
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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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