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PilotLPTM [1.2K]
3 years ago
7

Wich of the following is an example of an improper fraction

Mathematics
2 answers:
saul85 [17]3 years ago
6 0

If it looks like this it's Improper 21/20

tatiyna3 years ago
6 0

Answer: 10/3

Step-by-step explanation:

A. 6/7

B. 4/5

C. 10/3

D. 3/10

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In triangle abc, the perimeter is 36, and ab=ac. line ad is perpendicular to bc at the point d, and triangle abd's perimeter is
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Let x=ab=ac, and y=bc, and z=ad.

Since the perimeter of the triangle abc is 36, you have:

Perimeter of abc = 36
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The triangle is isosceles (it has two sides with equal length: ab and ac). The line perpendicular to the third side (bc) from the opposite vertex (a), divides that third side into two equal halves: the point d is the middle point of bc. This is a property of isosceles triangles, which is easily shown by similarity.

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Substitute 2x + y by 36 from (eq.1) in (eq.2):

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And solve for z:

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If you prefer a less algebraic reasoning:

- The perimeter of abd is half the perimeter of abc plus the length of ad (since you have "cut" the triangle abc in two halves to obtain the triangle abd).

- Then, ad is the difference between the perimeter of abd and half the perimeter of abc:

ad = 30 - (36/2) = 30 - 18 = 12
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