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kobusy [5.1K]
2 years ago
5

Consider trapezoid LMNO.

Mathematics
1 answer:
jenyasd209 [6]2 years ago
3 0

The side LO is congruent to the side MN, the diagonal LN is congruent to the diagonal MO, and the angle L is congruent to the angle M in an isosceles trapezoid, denoted by the symbols LMNO.

What are the conditions for an Isosceles Trapezoid?

The conditions listed below demonstrate that any trapezoid is an isosceles trapezoid:

  • The length of both legs is the same.
  • 2nd condition: The base angles are of equal proportion.
  • The length of the diagonals is the same.

When these conditions are met by the given trapezoid LMNO, it will be referred to as an isosceles trapezoid. Hence, the following conditions of trapezoid LMNO need to be fulfilled,

LN ≅ MO

LO ≅ MN

∠L ≅ ∠M

Learn more about a trapezoid here:

brainly.com/question/26335898

#SPJ1

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Step-by-step explanation:

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To do so, we can rewrite the equation.

Recall the double-angle for sine:

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By substitution:

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Distribute:

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We can subtract 3cos(x) from both sides:

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*It is important to note that we should not divide both sides by cos(x) to acquire 10sin(x) = 3. This is because we need to find the values of x, and one or more may result in cos(x) = 0, and we cannot divide by 0. Hence, we should subtract and then factor.

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