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Paul [167]
3 years ago
12

In triangle △JKL, ∠JKL is right angle, and KM is an altitude. JK=24 and JM=18, find JL.

Mathematics
1 answer:
Mila [183]3 years ago
8 0

Answer:

JL = 32

Step-by-step explanation:

We are told in the above question that:

In triangle △JKL, ∠JKL is right angle, and KM is an altitude. JK=24 and JM=18, find JL.

From the attached diagram, we can see that

JL : JK = JK: JM

Therefore,

JL/ JK = JK /JM

Where JL = Unknown

JK = 24

JM = 18

JL/ 24 = 24/18

Cross Multiply

24 × 24 = JL × 18

Divide both sides by 18

JL = (24 × 24) /18

JL = 576/18

JL = 32

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

A^2 (Short side) + B^2 (Short side) = C^2 (Long side)

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4 0
2 years ago
The measurement of the three interior angles of a quadrilaterals are: 85 °, 54 ° and 96 °, what is the measurement of the fourth
Diano4ka-milaya [45]
<h2><u>Question</u>:-</h2>

The measurement of the three interior angles of a quadrilaterals are: 85 °, 54 ° and 96 °, what is the measurement of the fourth angle?

<h2><u>Answer</u>:-</h2>

<h3>Given:-</h3>

The measurement of the three interior angles of a quadrilaterals are: 85 °, 54 ° and 96 °

<h3>To Find:-</h3>

The measurement of the fourth angle.

<h2>Solution:-</h2>

By angle sum property of a quadrilateral,

Sum of all the interior angles = 360 °

So, let the fourth angle be x

\therefore 85 ° + 54 ° + 96 ° + x = 360 °

\therefore 235 ° + x = 360 °

\therefore x = 360 ° - 235 ° = 125 °

<h3>The measurement of the fourth angle is <u>1</u><u>2</u><u>5</u><u> </u><u>°</u>. [Answer]</h3>
3 0
3 years ago
Use quadratic formula to find the solutions to the quadratic equation 2x^2-3x+6=0
defon

Answer:

2x² - 3x + 6 = 0

a = 2 b = -3 c = 6

delta = b² - 4ac = 9 - 4.2.6 = -39

=  > x =  \frac{3 +  \sqrt{39}i }{4}  \: or \: x =  \frac{3 -  \sqrt{39} i}{4}

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3 years ago
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If m angle KNM = (8x - 5)° and m angle MNJ = (4x - 19)° , find the measure of angle KNM. ​
Murrr4er [49]

Answer:

131°

Step-by-step explanation:

Since KNJ is a straight line,

∡KNM +∡MNJ= 180° (adj. ∡s on a str. line)

(8x -5)° +(4x -19)°= 180°

<em>Simplify:</em>

12x -24= 180

<em>+</em><em>2</em><em>4</em><em> </em><em>on </em><em>both </em><em>sides</em><em>:</em>

12x= 180 +24

12x= 204

<em>Divide</em><em> </em><em>both </em><em>sides </em><em>by </em><em>1</em><em>2</em><em>:</em>

x= 204 ÷12

x= 17

∡KNM

= (8x -5)°

= [8(17) -5]°

= (136 -5)°

= 131°

4 0
3 years ago
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