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marshall27 [118]
3 years ago
11

Please Help! Given parallelogram ABCD with the measures shown, what is the Measure of 5?

Mathematics
1 answer:
Scilla [17]3 years ago
5 0

Answer:

m\angle 5=76\degree.

Step-by-step explanation:

In the given parallelogram, line AC is a transversal.

Using the alternate interior angles theorem,

m\angle 5=76\degree.

You can observe this by tracing a Z-pattern.

You will then observe that m<5 and the 76\degree angles are alternate interior angles.

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What does a=? b=? Angle B=?
Kobotan [32]

Answer:

If you were solving the right triangle, it would be:

m∠A = 46°

m∠B = 44°

m∠C = 90°

AB = 32

BC ≈ 23

AC ≈ 24

Step-by-step explanation:

To solve this right triangle, you can use trigonometric ratios to solve for the sides. To find the angle measures:

m∠A = 46° (given)

m∠B = x

m∠C = 90° (given)

180 - (46 + 90) = x

180 - 136 = x

44 = x

m∠B = 44°

To find the side measures, you can use tangent, sine, cosine, and the Pythagorean Theorem.

Recall that:

tangent = opposite side/adjacent side

sine = opposite side/hypotenuse

cosine = adjacent side/hypotenuse

So:

sin46 = BC/32

BC = 32 (sin46)

BC ≈ 23

tan46 = BC/AC

AC = BC/tan46

AC = (23.01887361...) (tan46)

AC ≈ 24

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2 years ago
Which is larger 10.5 or 10.50
Bumek [7]

Answer:

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2 years ago
Which set of polar coordinates describes the same location as the rectangular coordinates (-3,3)
Readme [11.4K]
To convert from rectangular coordinates (x,y) to polar coordinates (r, θ), the following equations should be used:

r = sqrt( x^2 + y^2)
<span>θ = tan^-1 (y/x)
</span>
Substituting (-3,3) accordingly to the equations, we obtain r equal to 3*sqrt(2) and θ equal to -π/4. Thus, the polar coordinates equivalent to (-3,3) is (3*sqrt(2), -π/4).

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Answer:

1. Yes

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