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zloy xaker [14]
3 years ago
9

Use the picture below to answer questions 14a and 14b

Mathematics
1 answer:
Colt1911 [192]3 years ago
7 0

Answer:

x = 35, ∠ BDE = 130°

Step-by-step explanation:

(4x - 10) and (x + 95) are corresponding angles and are congruent, then

4x - 10 = x + 95 ( subtract x from both sides )

3x - 10 = 95 ( add 10 to both sides )

3x = 105 ( divide both sides by 3 )

x = 35

Thus

∠ BDE = 4x - 10 = 4(35) - 10 = 140 - 10 = 130°

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Answer:

x = 71°

Option B is correct answer.

Step-by-step explanation:

We need to find for what value of x is sin\: x = cos 19^{\circ}, where 0°< x < 90°?

Solving:

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So, we get x = 71°

Option B is correct answer.

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