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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Related Questions

PLEASEEEE SOMEONE HELP ME WITH THIS ITS DUE IN A COUPLE HOURS!!!!! FOR trigonometry

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Answer:

4/7

Step-by-step explanation:

Tan= Opposite/Adjacent

Tan<f = 4/7

what is 6x7 i give brainlest

Answers

Answer:

42

Step-by-step explanation:

The product of 6 multiplied by 7 is 42.

We have to find the value of 6×7.

To find the product of 6 multiplied by 7, you simply multiply the two numbers together.

6 multiplied by 7 can be calculated as:

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When six is multiplied with seven we get forty two.

= 42

Therefore, the product of 6 multiplied by 7 is 42.

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Simplify the fraction to lowest terms, and enter your answer below as a
fraction, using the slash mark ( 7 ) as the fraction bar.
4
12

Answers

Answer:

1/3

Step-by-step explanation:

Type the expression that results from the following series of steps:
Start with x, times by 6, then add y.​

Answers

Answer: 6x+y

Step-by-step explanation:

Just convert the words into operations.

Have a nice day! :D

Complete the statement. 80 oz = ____ lb

Answers

Answer:

5 lb

Step-by-step explanation:

1 pound is 16lb

80 ÷16=5


I’m so confused & I don’t get this at all. Can someone please help me. I’ll give brainliest!

Answers

Answer:

So, basically AB goes through (bisects) CAD, which CAD is the kite-like shape you see. So line AB goes through line CAD. Now what they what you to do is prove if lines AB and lines AC are equal.

help what is 36,000÷10 with a power of 3

Answers

Answer:

36

Step-by-step explanation:

Find the measure of the indicated angle to the nearest tenth.

Answers

Answer:

51.6 degrees

Step-by-step explanation:

Use the inverse tangent to find the angle.

Remember tangent is the ratio of the opposite leg over the adjacent leg.

[tex]tan^{-1} =(13.9/11);[/tex]=51.6

can anyone help giving 5 stars

Answers

Answer:

A=12

Step-by-step explanation:

C=3

Answer:

Side a: 12

Side c: 4

Step-by-step explanation:

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

jump competition.

Alex jumped exactly 200 cm further than Jack.

Amir jumped exactly 2,000 mm further than Alex.

What distance did they all jump?

Give your answers in metres.​

Answers

Answer:

Step-by-step explanation:

The distances they jumped were

x,y,z

y=x+2

z=x+2+2=x+4

x+y+z=12.69

x+x+2+x+4=12.69

3x+6=12.69

3x=6.69

x=2.23

So Jack jumped 2.23m, Alex jumped 4.23m, and Amir jumped 6.23m.

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

Answers

Answer:

(32,0) is the x intercept

Two lines, a and b, are parallel. If both of the lines are rotated 90° in the same direction and then translated to the right by the same number of units, which statement about the lines resulting from these transformations is true? They will be parallel. They will be the same line. They will be perpendicular. They will intersect, but they won't be perpendicular.

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.

Translation is the movement of a point up, down, left or right. Rotation is the turning of a point about a fixed point.

If two parallel lines a and b are rotated 90° in the same direction, they would still be parallel. If they are then translated to the right by the same number of units, they would still remain parallel to each other.

|(x-19)+11| considr all posibilyties

ill give you brainlyest

Answers

Answer: Here Is the answer

Step-by-step explanation: hoep this helps :)

1 Factor the polynomial over the set of real numbers. (a) f(x) = 25x^2 - 10x - 24​

Answers

Answer:

(5x+4)(5x-6)

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

(5x      )(5x     )

The other two numbers need to multiply to -24 and add up to -10.

Pairs that muliply to 24 could be 1 and 24, 2 and 12, 3 and 8, and 4 and 6. The more you factor the easier it will be to quickly discern which numbers to use. In this case, the right pair is 4 and 6. Because it needs to add up to -10, it should be 4 and -6 (because multiplying out, -30 + 20 = -10).

Thus, the final factored equation is (5x+4)(5x-6). You can check this by FOILing and making sure you get the original equation.

Pythagorean therom HELPPPO

Answers

Answer:

6

Step-by-step explanation:

change up the formula so:

sqrt (10^2-8^2)= 6

Help 10 points picture included

Answers

Connect the arrows with a straight line

What is the area of this figure? Nearest tenth. Use 3.14 for pi if needed.

Question in picture

Answers

Answer:

"I hope your pillow is hot on both sides"

Step-by-step explanation:

"I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides"

factor the polynomial FULLY?

Answers

Step-by-step explanation:

4x²-64

(2x)²-(8)²

a²-b²=(a+b)(a-b)

=(2x+8)(2x-8)

Therefore, the factors are -4 and 4.

yes the factors are indeed 4 and -4 boom your welcome

Plsssss help me this is urgent.
Which tank has the greater volume?
Tank A has a diameter of 10 ft and a height of 3 ft. Tank B has a diameter of 6 ft and a height of 8 ft

A.Tank B has a greater volume.

B.Tank A and Tank B have the same volume.

C.Tank A has a greater volume

Answers

Tank A has a greater volume.

What is the value of x

Answers

Answer:

56

Step-by-step explanation:

because of the type of triangle (isosceles) the 2 angles on the bottom near the equal sides will have equal angle sizes so...

62+62+x=180

124+x=180

x=180-124

x=56

Which best describes the solutions to the inequality x> 102
10 and every whole number greater than 10
a rational number infinitely close to 10 but greater than 10, and all other rational numbers greater than 10
11 and every whole number greater than 11
a rational number infinitely close to 10 but greater than 10, and all other whole numbers greater than 10

Answers

Answer:

B

Step-by-step explanation:

i took the test

Answer:

Question 2-(B) a rational number infinitely close to 10 but greater than 10, and all other rational numbers greater than 10

Step-by-step explanation:

Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
12, 9, 6, ...

Answers

Answer:

geometric t2-t1

Step-by-step explanation:

divide the second term by the first to get the common ratio

Answer: This is an arithmetic sequence and the common difference is equal to -3.

Step-by-step explanation:

Find the value of x in the equation below. 2(x - 8) = 24

Answers

Answer:

Step-by-step explanation:

2(x - 8) = 24

2x - 16 = 24

Bringing like terms on one side

2x = 24 + 16

2x = 40

x = 40/ 2

x = 20

Quadrilateral HGFJ is a rhombus. GF = 45 cm and mZGHK= 28°. K к What is JF and mZKGH? ? H Н Enter your answers in the boxes. JF = cm O mZKGH =​

Answers

Answer:

JF=45

KGH=62

Step-by-step explanation:

since the quadrilateral is a rhombus, its sides are equal GF=FJ and so on

Diagonals of a rhombus bisect each other at 90° angles, to find the missing value we subtract 90+28(the given angle) to get 62

Simplify this expressions 5x -7 + 3x + 10

Answers

Answer:

8x + 3

Step-by-step explanation:

=5x+−7+3x+10

=(5x+3x)+(−7+10)

=8x+3

PLEASE HELP ME I AM SO LOST
2+2=?
please i am desperate this is due today

Answers

Answer:

I think 4?????

Step-by-step explanation:

I don't know

Answer:

...

2 + 2 = 4

hope that helps...

what’s the answer to this question

Answers

Step-by-step explanation:

I can't see the question. please resend picture

If cose
=-2/3
-, which of the following are possible for the same value of e?

Answers

Answer:

B?

Step-by-step explanation:


At midnight, the outside temperature is 10 degrees Fahrenheit. By 4:00 A.M., the temperature is -2 degrees Fahrenheit. Show the equation to determine the
average change in temperature per hour.

Answers

Answer:

its a change of -3 per hour.

Step-by-step explanation:

I do not know the formula for the equation you speak of, but the change per hour is that it is going down by 3 every hour. 10-3=7-3=4

4-3=1

1-3= -2.

What is the value of x?

Answers

Answer:

B) 9

Step-by-step explanation:

[tex]\frac{2x-8}{2x-3} = \frac{x-3}{x}[/tex]

x = 9

The answer would be nine (9)
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