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2 years ago

(Inscribed Angles)

Mathematics

1 answer:

Alik [6]2 years ago

4 0

Answer:

(D) 30 degrees

Step-by-step explanation:

An inscribed angle is an angle formed by two chords in a circle which have a common endpoint.

Theorem(Inscribed Angles Conjecture I): In a circle, the measure of an inscribed angle is half the measure of the central angle with the same intercepted arc.

By the theorem above and from the attached diagram,

Inscribed Angle p =Half of 60 degrees

$\angle p=0.5 X 60^\circ\\p=30^\circ$

The correct option is D.

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Isaak is writing an explicit formula to represent the sequence.

gulaghasi [49]

In a geometric progression:
a, b, c, d...
The common ratio can be obtained using:
b/a = c/b = d/c
b/a = 112 / 64 = 1.75
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d/c = 343 / 196 = 1.75
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7 0

2 years ago

Read 2 more answers

PLZ HELP

Alex

Answer:

The correct option is C ) 109.5°

Therefore,

$m\angle E=109.5\°$

Step-by-step explanation:

Given:

In Triangle DEF

d = 10

e = 18

f = 12

To Find

angle E = ?

Solution:

In Triangle DEF , Cosine Rule says

$\cos E=\dfrac{f^{2}+d^{2}-e^{2}}{2fd}$

Substituting the values we get

$\cos E=\dfrac{12^{2}+10^{2}-18^{2}}{2\times 12\times 10}$

$\cos E=\dfrac{-80}{240}=-\dfrac{1}{3}$

Therefore,

$\angle E=\cos^{-1}(-0.3333)$

$m\angle E=109.5\°$ ............As it is in Second Quadrant

Therefore,

$m\angle E=109.5\°$

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3 years ago

Michael is 12 years older than Brandon. Seventeen years ago, Michael was 4 times as old as Brandon.

4vir4ik [10]

Answer:

21 yrs old

Step-by-step explanation:

m= michael age

b=Brandon age

m=b+12

m-17=4(b-17)= 4b-68 --»»m = 4b -51

//put b+12 instead m// b+12=4b-51

3b=63 --»»b=21

Brandon age is 21

Michael age is 33

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3 years ago

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The measure of angle A is 68°. The measure of angle B is 22°. Which statement best describes the relationship between these two

stellarik [79]

Answer:

They are complementary angles.

Step-by-step explanation:

The sum of their measurements equals 90 degrees.

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2 years ago

A set of physics exam scores are normally distributed with a mean of 80 points and a standard deviation of 6

Anuta_ua [19.1K]

Answer:

The proportion of exam scores that are lower than Irina's score is 0.9938

Step-by-step explanation:

Data

mean: 80 points

standard deviation (sd): 6 points
value of interest (x): 95 points

z-score is computed as follows:

z = (x - mean)/sd

z = (95 - 80)/6 = 2.5

We want to find:

P(z < 2.5)

From the table attached:

P(z < 2.5) = 0.9938

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3 years ago