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Maurinko [17]
4 years ago
13

This problem is only for smart kids, all people who dont do it r babies

Mathematics
1 answer:
Phantasy [73]4 years ago
3 0

Answer:

46

Step-by-step explanation:

∠DAC ≅ ∠ACB because they are opposite interior angles where transversal AC crosses parallel lines BC and AD.

∠DAC ≅ ∠CAB because they are corresponding angles of the similar triangles ΔABC and ΔACD.

Hence ∠ACB ≅ ∠CAB and ΔABC is isosceles with side lengths both being 9. The corresponding side lengths of ΔACD are 12, meaning the base of ΔABC, segment AC, is 12. The scale factor of ΔACD to ΔABC is then 12:9 = 4:3, so the base AD of ΔACD is (4/3)×12 = 16.

So, the side lengths of the trapezoid are ...

  • AB = 9
  • BC = 9
  • CD = 12
  • DA = 16

and the perimeter is 9 +9 +12 +16 = 46 units.

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The correct answer is 95°.

To solve for n, you can start by finding the measures of the triangle's interior angles. Knowing that a straight line measures 180°, you can subtract the given values from 180° to find the measures of the respective supplementary interior angles. That would give you 59° (180-121) and 36° (180-144).

Now, knowing that the measure of all the interior angles of a triangle is also 180°, you can add the two interior angles you know (59+36) and subtract those from 180°. Doing so would give you the measure of the missing third angle, which is 85°.

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