In ΔKLM, l = 26 cm, k = 56 cm and ∠K=22°. Find all possible values of ∠L, to the nearest degree.

Answers

Answer 1

Answer:

10 degrees

Step-by-step explanation:

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Answer 2

The possible value of ∠L in ΔKLM is approximately 22 degrees.

What is geometry?

Geometry is the study of two-dimensional and three-dimensional figures such as quadrilaterals, triangles, circles, their sides, and angles.

A square triangle is a diagram made by using the squares and the triangle simultaneously. Here in the image below you can see we can make the square triangle by using one square and three triangles.

To find the possible values of ∠L in triangle ΔKLM, we can use the Law of Cosines, which relates the sides and angles of a triangle:

c² = a²+ b²- 2abcos(C)

Where a, b, and c are the lengths of the sides of the triangle opposite to the angles A, B, and C, respectively.

In our case, we know that:

KL = l = 26 cm (the side opposite to ∠M)

KM = k = 56 cm (the side opposite to ∠L)

∠K = 22° (angle opposite to KL)

To find the length of LM (the side opposite to ∠K), we can use the Law of Cosines:

LM² = KL² + KM^2 - 2KLKMcos(K)

LM² = 26² + 56² - 2(26)(56)cos(22°)

LM ≈ 61.3 cm

Now we can use the Law of Sines, which relates the lengths of the sides and the opposite angles of a triangle:

a/sin(A) = b/sin(B) = c/sin(C)

In our case, we can use this formula to find the value of sin(∠L):

sin(∠L)/KM = sin(∠K)/LM

sin(∠L)/56 = sin(22°)/61.3

sin(∠L) ≈ 0.374

∠L ≈ arcsin(0.374)

∠L ≈ 22° (rounded to the nearest degree)

Therefore, the possible value of ∠L in ΔKLM is approximately 22 degrees.

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Answer:

36

Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

[tex]25x^{2} -10x-24[/tex]

Separate into two parts, first realizing that the only two factor pairs for 25 are 5 and 5 or 1 and 25. Using 5 and 5 makes the most sense, so

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Step-by-step explanation:

The product of 6 multiplied by 7 is 42.

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What is the x intercept of 3x + 6y =96

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Answer:

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Answers

Answer:

They will be parallel.

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

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Can someone help me with this question please? Many thanks in advance.
Jack, Alex and Amir jumped a total of 12.69 m in a long

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Alex jumped exactly 200 cm further than Jack.

Amir jumped exactly 2,000 mm further than Alex.

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Give your answers in metres.​

Answers

Answer:

Step-by-step explanation:

The distances they jumped were

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Answer:

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Step-by-step explanation:

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Answer:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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B

Step-by-step explanation:

i took the test

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Answer:

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Answer:

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