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Vesnalui [34]
3 years ago
6

F ∠A is 95° and ∠B is 105°, what is ∠C? A) 75° B) 85° C) 95° D) 105°

Mathematics
2 answers:
Jobisdone [24]3 years ago
6 0

The question is missing important data. The quadrilateral having vertices A, B, C and D is a cyclic quadrilateral.

Answer:

B) 85°

Step-by-step explanation:

Given:

A cyclic quadrilateral with ∠A is 95° and ∠B is 105°.

For a cyclic quadrilateral, the sum of the opposite interior angles is equal to 180°

Therefore, sum of angles A and C is 180°.

\angle A + \angle C=180\°\\95\°+\angle C=180\°\\\angle C=180-95\\\angle C =85\°

Therefore, the correct option is option B) 85°

jarptica [38.1K]3 years ago
4 0

Answer:

A)75

Step-by-step explanation:

Opposite angles in an inscribed quadrilateral are supplementary.

∠B + ∠D = 180°

105° + ∠D = 180°

∠D = 75°

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If sine theta equals negative square root of three over two and pi less than theta less than three times pi over two, what are t
Romashka-Z-Leto [24]

Cosine theta equals the negative square root of three over two; tangent theta equals the negative square root of three over three is the correct answer.

<h3>What is angle measurement?</h3>

An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).

Given data;

sin(1/2) = π/6

The value of the trignometric function are;

cos(π/6) = (√3)/2

tan(π/6) = 1/√3 = (√3)/3

In the second quadrant, where the cosine and tangent signs are both negative, is the angle of interest.

θ = 5π/6

cos(5π/6) = -(√3)/2

tan(5π/6) = -(√3)/3

Hence. cosine theta equals the negative square root of three over two; tangent theta equals the negative square root of three over three is the correct answer.

To learn more about the angle measurement, refer to the link;

brainly.com/question/14684647

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7 0
2 years ago
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Minchanka [31]
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6 0
2 years ago
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Which equation represents this statement? One-third of a number is 21.
Musya8 [376]
This states that a number divided by 3 is 21. the equation is: n/3 = 21
5 0
3 years ago
Three out of every 7 of the girls in class have bikes. If 12 girls have bikes, how many have not?
eduard
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28-12=16
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2 years ago
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Use the Remainder Theorem to find the remainder for (2x^3-3x^2+6)/(x-1) and state whether or not the binomial is a factor of the
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Answer:

Remainder= 5, and the binomial (x-1) is not a factor of the given polynomial.

Step-by-step explanation:

Given polynomial is (2x^3-3x^2+6) , we have to divide this with a binomial [tex}(x-1)[/tex] using remainder theorem.

Remainder theorem says if (x-a) is a factor then remiander would be f(a)

Therefore for (x-1), \ {we find}\  f(1)}

f(1)=(2\times 1^3-3\times1^2+6)\\1^3 =1\\1^2=1\\Substituting \ this \ above\\f(1)= (2-3+6)=5

Thus the remainder is 5 and since it is not 0 , so the binomial (x-1) is not a factor of the given polynomial.

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