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kow [346]
4 years ago
14

Find angle K of this problem

Mathematics
1 answer:
Sati [7]4 years ago
7 0

m∠K = 55°

Solution:

Given JKLM is a isosceles trapezoid.

Measure of ∠M = (11x – 18)° and Measure of ∠K = (3x + 16)°

In a isosceles trapezoid opposite angles are supplementary.

⇒ m ∠M + m ∠K = 180°

⇒ (11x – 18)° + (3x + 16)° = 180°

⇒ 11x° – 18° + 3x° + 16° = 180°

Combine like terms together.

⇒ 11x° + 3x° + 16° – 18° = 180°

⇒ 14°x – 2° = 180°

⇒ 14°x = 180° + 2°

⇒ 14°x = 182°

⇒ x = 13°

Substitute x = 13° in m ∠K.

⇒ m∠K = 3(13°) + 16°

⇒ m∠K = 39° + 16°

⇒ m∠K = 55°

Hence m∠K = 55°.

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Darina [25.2K]
What r the following questions?
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Find the value of L. Perimeter = 20. Width is 6. So what is L? On a square
Rashid [163]

Well first of all, that's not a square.  On a square, all 4 sides are
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The perimeter is the distance an ant has to walk if you put him down
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If you set the ant down on the corner of a rectangle, then he walks the
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That was 2 lengths and 2 widths ... the perimeter of every rectangle.

Take 2 widths away from the perimeter, and you have 2 lengths left.  OK ?

You said that the width of your rectangle is 6.  Two widths is 12.
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8 0
3 years ago
Read 2 more answers
Solving a System of Equations Using Linear Combination
Ivanshal [37]
<h3>The solution is (x, y) = (-2, 3)</h3>

<em><u>Solution:</u></em>

<em><u>Given system of equations are:</u></em>

4x + 5y = 7 ------ eqn 1

3x -2y = -12 ------- eqn 2

Multiply eqn 1 by 2

8x + 10y = 14 ------ eqn 3

Multiply eqn 2 by 5

15x - 10y = -60 ------- eqn 4

Add eqn 3 and eqn 4

8x + 10y = 14

15x - 10y = -60

( + ) -------------

23x = -46

<h3>x = -2</h3>

Substitute x = -2 in eqn 1

4(-2) + 5y = 7

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5y = 15

<h3>y = 3</h3>

Thus the solution is (x, y) = (-2, 3)

7 0
3 years ago
Resuelve las ecuaciones<br> x+y=47 <br> x+2y=79
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