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sweet [91]
3 years ago
12

Geometry; Inscribed Angles.Find the value of y. Please explain!

Mathematics
2 answers:
r-ruslan [8.4K]3 years ago
7 0

Answer:

y = 48° is the answer.

Step-by-step explanation:

In the figure attached, length of small arc = 66°

This small arc makes an angle at the center of the circle = 66°

By definition, angle formed by the arc at the center is double of the measure of the angle inscribed by the small arc at the point on a circle.

Therefore, m (arc) = 66° = 2.(x)

x = \frac{66}{2}=33

Similarly,  y = \frac{96}{2}=48

y = 48° will be the answer.

Butoxors [25]3 years ago
3 0

check the picture below.

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Step-by-step explanation:

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20=b(4)         [divide both sides by 4]

b=5 units

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Evaluate the quantity 3 squared times 3 to the power of negative 5 end quantity over 5 to the power of negative two.
chubhunter [2.5K]

The value of the expression given as  [3² * 3⁻⁵]/[5⁻²] is 25/27

<h3>How to evaluate the expression?</h3>

The expression is given as:

3 squared times 3 to the power of negative 5 end quantity over 5 to the power of negative two

Rewrite properly as:

[3² * 3⁻⁵]/[5⁻²]

Apply the negative exponent law of indices

So, we have

[3² * 3⁻⁵]/[5⁻²] = [5²]/[3⁻² * 3⁵]

Apply the exponent law of indices

[3² * 3⁻⁵]/[5⁻²] = [5²]/[3³]

This gives

[3² * 3⁻⁵]/[5⁻²] = 25/27

Hence, the value of the expression given as  [3² * 3⁻⁵]/[5⁻²] is 25/27

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7 0
1 year ago
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