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Annette [7]
3 years ago
6

A photo frame in the shape of a quadrilateral has one diagonal longer than the other. Is it a Rectangle? Why

Mathematics
1 answer:
julsineya [31]3 years ago
3 0

Answer:

  • 80°

Step-by-step explanation:

A rectangle has same opposite sides and 4 right angles as property of a rectangle.

The photo frame has different diagonal lengths

It makes opposite sides different, therefore it is not a rectangle

<u>Given angles (x - 20) and (x + 40) are consecutive interior angles which add up to 180°</u>

  • x - 20° + x + 40° = 180°
  • 2x + 20° = 180°
  • 2x = 160°
  • x = 80°
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12(t + 2) + 4 ≥ - 8

12t + 24 + 4 ≥ - 8

12t + 28       ≥ - 8

12t               ≥ - 8 - 28

12t               ≥ - 36

t                  ≥ - 36 ÷ 12

t                  ≥ - 3

Solution:

t ≥ -3

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