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katovenus [111]
2 years ago
8

The diagram shows ABCD, where a ≠ b, a ≠ 0 and b ≠ 0.

Mathematics
2 answers:
Len [333]2 years ago
4 0

C. ABCD is a trapezoid, but it is not an isosceles trapezoid.

Step-by-step explanation:

       ABCD is a trapezoid not an isosceles trapezoid. Because opposite sides of isosceles trapezoid are parallel.

      The characteristics of trapezoid are legs, lower base angles, upper base angles diagonals are congruent.

     The characteristics of isosceles trapezoid are bases are parallel, opposite sides are same length.

      From the above mentioned characteristics of an Trapezoid and Isosceles trapezoid the given is trapezoid.

     Given data clearly mentioned in diagram ABCD, where a≠b, a≠0 and b≠0 So, it is trapezoid.

Result:

     So, the given is Trapezoid not an isosceles trapezoid . Because ABCD, where a≠b, a≠0 and b≠0.

bixtya [17]2 years ago
3 0

Answer:

C

Step-by-step explanation:

ABCD is a trapezoid, but it is not an isosceles trapezoid.

Step-by-step explanation:

ABCD is a trapezoid not an isosceles trapezoid. Because opposite sides of isosceles trapezoid are parallel.

The characteristics of trapezoid are legs, lower base angles, upper base angles diagonals are congruent.

The characteristics of isosceles trapezoid are bases are parallel, opposite sides are same length.

From the above mentioned characteristics of an Trapezoid and Isosceles trapezoid the given is trapezoid.

Given data clearly mentioned in diagram ABCD, where a≠b, a≠0 and b≠0 So, it is trapezoid.

Result:

So, the given is Trapezoid not an isosceles trapezoid . Because ABCD, where a≠b, a≠0 and b≠0.

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Answer:

Length of the rectangle  =25

width of the rectangle  = 20

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Let 'x' be the width of the rectangle

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<u><em>Step(ii):-</em></u>

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          x² + 5 x = 500

      ⇒  x² + 5 x - 500 =0

      ⇒  x² +25x - 20 x - 500 =0

    ⇒  x( x+25) -20(x+25) =0

  ⇒  (x-20)(x+25) =0

 ⇒  x =20 and x=-25

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<u><em>Step(iii):-</em></u>

Length of the rectangle = x +5 = 20 +5 =25

width of the rectangle  = 20

<u><em>Final answer</em></u>:-

Length of the rectangle  =25

width of the rectangle  = 20

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