Mathematics, 10.12.2021 06:20 anaclaramigli
The Saxena family plans to install a light to illuminate part of their rectangular yard. Nikki and Dylan each proposed a different spot to place the light. The proposed placements and the lit area that each produces are shown below.
Nikki's proposed placemat has a triangular light area with a base of 60 feet and height of 38 feet. Dylan's proposed placemat has a base of 60 feet and a height of 38 feet.
How do Nikki’s and Dylan’s proposals compare? Check all that apply.
Nikki’s proposed placement will light a greater area than Dylan’s placement.
Dylan’s proposed placement will light a greater area than Nikki’s placement.
Both proposed placements will light the same sized area.
Nikki’s proposed placement will light more than half the yard.
Dylan’s proposed placement will light more than half the yard.
Dylan’s proposed placement will light exactly half of the yard.
Nikki’s proposed placement will light less than half of the yard.
Answers: 1
Mathematics, 20.06.2019 18:04
Here is their argument. given the obtuse angle x, we make a quadrilateral abcd with ∠dab = x, and ∠abc = 90◦, and ad = bc. say the perpendicular bisector to dc meets the perpendicular bisector to ab at p. then pa = pb and pc = pd. so the triangles pad and pbc have equal sides and are congruent. thus ∠pad = ∠pbc. but pab is isosceles, hence ∠pab = ∠pba. subtracting, gives x = ∠pad−∠pab = ∠pbc −∠pba = 90◦. this is a preposterous conclusion – just where is the mistake in the "proof" and why does the argument break down there?
Answers: 2
Mathematics, 21.06.2019 17:00
Find the measure of the interior angles of the following regular polygons: a triangle, a quadrilateral, a pentagon, an octagon, a decagon, a 30-gon, a 50-gon, and a 100-gon.
Answers: 2
Mathematics, 21.06.2019 20:40
Ineed someone to me answer my question i have to have this done and knocked out
Answers: 2
The Saxena family plans to install a light to illuminate part of their rectangular yard. Nikki and D...
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