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3 years ago

The following diagram shows the path of a planet around the Sun. Kepler discovered that _____.

Mathematics

2 answers:

Phantasy [73]3 years ago

7 0

The right answer is:

area B = area C

We can solve this problem by using Kepler's laws of planetary motion. There are three Kepler's laws. In this exercise, we need to use the second law. According to this law, a line segment joining a planet and the sun sweeps out equals areas during equals intervals of time. So, a certain planet sweeps out an area B from the point P3 to P4 in an interval of time t. On the other hand, for the same interval of time t, the planet sweeps out an area C from point P4 to P5, that is equal to the previous area according to second kepler's law.

vesna_86 [32]3 years ago

3 0

Kepler giscovered that area B = area C because they have the same time interval..

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9) JK = 24.5

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Step-by-step explanation:

in a parallelogram, adjacent angles are supplementary (add to 180 degrees) and are also congruent

so, ∡K = ∡M and ∡J = ∡L

since ∡'s L and M are adjacent we can add them and set them equal to 180

5z - 6 + 2z - 3 = 180

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z = 27

therefore, m∡M = 5(27)-6 = 129 and m∡L = 180-129, or 51

Also in a parallelogram, opposite sides are equal; so KJ = LM and KL = JM

7x = 3x + 14

subtract 3x from each side to get:

4x = 14

x = 14/4 = 3.5

to find measure of JK, substitute 3.5 for 'x' to get (3.5)(7) = 24.5

to find measure of LM, substitute 3.5 for 'x' to get (3.5)(3)+14 = 24.5

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