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Vera_Pavlovna [14]
3 years ago
10

If sin∠X = cos∠Y and m∠X = 72°, what is the measure of ∠Y?

Mathematics
2 answers:
Nastasia [14]3 years ago
6 0

Answer:

The answer is 18.

Step-by-step explanation:

90-72=18

dezoksy [38]3 years ago
3 0

Answer:

A. 18°

Step-by-step explanation:

Using the cofunction identity

sin x = cos(90 - x)

Hence

sin72° = cos(90 - 72)° = cos18° ⇒ ∠Y = 18°

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Step-by-step explanation:

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2 years ago
What number must you add to the expression below to complete the square? x^2-20x?
polet [3.4K]
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x²<span>-20x
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5 0
3 years ago
Figure ABCD is a rhombus where the m∠ABC = 84 and m∠ABE = 3x − 6. Solve for x. Rhombus ABCD with diagonals AC and BD and point E
bazaltina [42]

Answer:

<u> x = 16</u>

Step-by-step explanation:

See the attched figure

We should know that, one of the properties of the rhombus is the diagonals bisect the angles of the rhombus.

Given:

m∠ABC = 84  and m∠ABE = 3x − 6

So, m∠ABE = 0.5 * m∠ABC = 0.5 * 84 = 42

∴ 3x - 6 = 42

Solve for x

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x = 48/3 = 16

<u>∴ x = 16</u>

4 0
3 years ago
Read 2 more answers
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