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tigry1 [53]
3 years ago
14

Determine the following angle measures. mZM= mXL =

Mathematics
1 answer:
fomenos3 years ago
4 0

Angle measures are ∠M = 90° and ∠L = 24°

Step-by-step explanation:

  • Step 1: In the figure, LM is a tangent to the circle N at point M.

Tangents create right angles at the point of contact with a circle.

So ∠M = 90°

  • Step 2: Sum of angles in a triangle is equal to 180°

⇒ ∠L = 180° - (∠M + ∠N) = 180° - (90° + 66°)

         = 180° - 156° = 24°

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Step-by-step explanation:

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3 years ago
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He won't answer you.

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3 0
3 years ago
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After a rotation of 90° about the origin, the coordinates of the vertices of the image of a triangle are A'(6, 3), B'(-2, 1),
Rasek [7]

Answer:

<em>A</em>(-3, 6), <em>B</em>(-1, -2), <em>C</em>(-7, 1)

Step-by-step explanation:

To the pre-image after a 270°-counterclockwise rotation [90°-clockwise rotation], just reverse it by doing a 270°-clockwise rotation [90°-counterclockwise rotation]:

Extended Rotation Rules

  • 270°-clockwise rotation [90°-counterclockwise rotation] >> (x, y) → (-y, x)
  • 270°-counterclockwise rotation [90°-clockwise rotation] >> (x, y) → (y, -x)
  • 180°-rotation >> (x, y) → (-x, -y)

So, perform your rotation:

270°-clockwise rotation [90°-counterclockwise rotation] → <em>C</em><em>'</em>[1, 7] was originally at <em>C</em>[-7, 1]

→ <em>B'</em>[-2, 1] was originally at <em>B</em>[-1, -2]

→ <em>A</em><em>'</em>[6, 3] was originally at <em>A</em>[-3, 6]

I am joyous to assist you anytime.

3 0
3 years ago
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What’s 15.61 divided by 7
Marrrta [24]
2.23. your welcome lol
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3 years ago
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Suppose that prices of recently sold homes in one neighborhood have a mean of $265,000 with a standard deviation of $9300. Using
Hatshy [7]

Answer:

Range  = (237100, 292900)

Step-by-step explanation:

Using Chebyshevs Inequality:

P(|X - \mu | \le k \sigma )\ge 1  -\dfrac{1}{k^2}= 0.889

1  -\dfrac{1}{k^2}= 0.889

\dfrac{1}{k^2}= 1- 0.889

\dfrac{1}{k^2}=0.111

k = \sqrt{\dfrac{1}{0.111}}

k \simeq 3

Thus, 88.9% of the population is within 3 standard deviation of the mean with the Range = μ  ±  kσ

where;

μ = 265000

σ = 9300

Range = 265000  ±  3(9300)

Range = 265000  ± 27900

Range =   (265000 - 27900, 265000 + 27900)

Range  = (237100, 292900)

3 0
2 years ago
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