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insens350 [35]
3 years ago
11

Please Help! B belongs to AC D belongs to lineAF

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
5 0

Answer:

x = 27

Step-by-step explanation:

∠ CAD and ∠ EDF are corresponding angles and are congruent, so

∠ CAD = 2x

The sum of the 3 angles in Δ ABD = 180°

sum the angles and equate to 180

72 + 2x + 2x = 180

72 + 4x = 180 ( subtract 72 from both sides )

4x = 108 ( divide both sides by 4 )

x = 27

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The compliment of set A that is A' is equal to {2, 4, 8, 12, 16}.

We are given the universal set as:

U = {2, 4, 6, 8, 10, 12, 14, 16}

We are also given that set A is:

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For this, we will subtract set A from the universal set, U.

So, we get that:

A' = U - A

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Solving the expression, we get that:

A' = {2, 4, 8, 12, 16}

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