A subset S of a plane satisfying incidence and betweenness axioms is called convex if for any two points X,Y in S the whole segment XY is contained in S Recall that the side of any line is a convex set. (a) Prove that intersection of (any family of) convex sets is convex (b) Prove that any ray is a convex set. (c) Prove that a segment, an interior of an angle, an interior of a triangle are (use a) and b)) convex

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A: The principal amount we have is ₱10000 and the time period is 5 years.  Therefore,  P=₱10000 t=5

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A:

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A: It is known that f-gx=f(x)-g(x) and f·gx=f(x)·g(x). The sets are provided as:…

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A: Since a Postulate is a statement which is assumed to be true without any proof.

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A:

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A: To Show:An isometry of a plane is completely determined by the image of three non-collinear points.

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A: Dilation in a plane is a transition that alters an object's size but not its shape. It is a…

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A: Step 1: Step 2: Step 3: Step 4:

Q: W Sketch the Locus of those points w With 41 | W ²-2 W-1|=0 w 4) R₁ [11-4)²] = 0 c) Re[*/*²)] = 0

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Q: Suppose Ak,., A2 , A1 and B are points on R" Prove that if {A1 , A2, .. Ak} is an independent linear…

A: proof :- A1,A2,...Ak are linear independent set ⇒c1A1+c2A2,...ckAk=0  where c1=c2=...=ck=0…