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Andrei [34K]
3 years ago
10

Helllppppp Asapppp.

Mathematics
1 answer:
S_A_V [24]3 years ago
3 0

Answer:

34.77°

Step-by-step explanation:

In a triangle with sides a, b, and c, the law of cosines tells us thatc^2=a^2+b^2-2ab\cos{C}, where C is the angle between sides a and b and across from side c. On this triangle, we can say a = 14, b = 11, c = 8, and C = m∠B; plugging these values in, we have

8^2=14^2+11^2-2(14)(11)\cos{B}\\

Simplifying this equation:

64=196+121-308\cos{B}\\64=317-308\cos{B}\\-253=-308\cos{B}\\253/308=\cos{B}

to unwrap this, we can put each side through the inverse cosine function:

\cos^{-1}{(253/308)}\cos^{-1}{(\cos{B})}\\34.77^{\circ}\approx B

And we have our result for m∠B.

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Answer:

22) RT ; angles 2 and 4 are alternate interior angles

23) RT ; angles 1 and 3 are alternate interior angles

24) TV; same-side interior angles (some classes called them consecutive interior angles)

25) RV; same-side interior angles (some classes call them consecutive interior angles)

Step-by-step explanation:

The transversal is the a "line" going through at least 2 others helping to form the angles in question.

22) The line segment going through two line segments that contain angles 2 and 4 is:

RT.

Angles 2 and 4 are alternate interior angles because they happen inside the parallel lines on opposite sides of the transversal at the different intersections of RT and the parallel lines it goes through.

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Angles 1 and 3 are alternate interior angles because they happen inside the parallel lines on opposite sides of the transversal at the different intersections of RT and the parallel lines it goes through.

The cool thing about 24 and 25 is that they give you the transversal in the name of the angle.

24) Angles TVR and VTS are being formed by the line segment TV and the parallel line segments that it intersects.  TV is the transversal.

Angles TVR and VTS are same side interior angles because they happen inside the parallel lines on the same side of the transerval at the different intersections of TV and the parallel lines it goes through.

25) Angles SRV and RVT are being formed by the line segment RV and the parallel line segments that it intersects.  RV is the transversal.

Angles SRV and RVT are same side interior angles because they happen inside the parallel lines on the same side of the transerval at the different intersections of RV and the parallel lines it goes through.

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Given:

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12=5^x

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Answer:

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Step-by-step explanation:

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When r= 0 it does not mean that there is no relationship . For example if the observed values lie exactly on a circle , there is a relationship between variables but r = 0  as r only measure linear cor relation.

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Answer:

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Answer:

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Step-by-step explanation:

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