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Shalnov [3]
3 years ago
10

Please help with math homework!

Mathematics
1 answer:
mafiozo [28]3 years ago
6 0

Answer:

x = 5

Step-by-step explanation:

To do this, you need to use the Thales theorem.

You can actually apply this theorem and choose two sides of the figure to do it.

In this case, I will choose segment LM and MN and look for a ratio with DE and EF like this:

LM/MN = DE/EF

This theorem states that you can stablish a ratio between two segments assuming that you have at least two paralels lines, like DL || EM || FN

Therefore, it's time to replace the values of those segments and solve for X:

LM/MN = DE/EF

14/16 = 6x -9 / 4x + 4

7/8 = 6x - 9 / 4x + 4

7(4x+4) = 8(6x-9)

28x + 28 = 48x - 72

72 + 28 = 48x - 28x

100 = 20x

x = 100/20

x = 5

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4/26 can be simplified by 2. So, this is not the answer.
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Answer:

62°

Step-by-step explanation:

The angle R inscribes the arc FQ, so using the property of inscribed angles in a circle, we have that:

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