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GREYUIT [131]
2 years ago
7

This needs a little working out. Just part A to simplify to find 21.

Mathematics
1 answer:
prisoha [69]2 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

Since the pentagon has one line of symmetry. This will be a vertical line through C, thus

CD = BC = x + 1 and ED = AB = 2x + 3

Perimeter = AE + ED + DC + CB + BA

                = 4x + 2x + 3 + x + 1 + x + 1 + 2x + 3 = 10x + 8

Perimeter is given as 21, thus

(b)

10x + 8 = 21 (subtract 8 from both sides )

10x = 13 ( divide both sides by 10 )

x = \frac{13}{10} = 1.3

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Further Explanation:

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Choice 2 is true because the three medians of any triangle always intersect at the centroid. A median is a line that goes from one vertex to the midpoint of the opposite side. In this case, we go from point E to the midpoint of side CD. The midpoint of CD is found by bisecting segment CD (see choice 5)

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edit update: I changed choice 3 from false to true

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