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Eduardwww [97]
1 year ago
13

Triangle J K L is shown. Point N is the midpoint of side J L and point M is the midpoint of side K L. The length of J K is 19.6

meters. The lengths of J N and N L are 7.4 meters. The lengths of K M and M L are 10.7 meters.
What is the distance between points M and N?

meters
Mathematics
1 answer:
Kruka [31]1 year ago
7 0

The distance between points M and N according to the task content is; 9.8 meters.

<h3>What is the distance between points M and N?</h3>

From observation of the task content information; it can be deduced for a fact that the line segment MN which joins points M and N is parallel to the line JK. This follows from the fact that M and N are midpoints KL and JL respectively.

Hence, it follows that triangles NLM and JLK are congruent and by the ratio of corresponding sides equality;

NM/19.6 = 7.4/(2×7.4)

NM = 19.6/2 = 9.8 meters.

This follows from congruence theorems in which case, the ratio of corresponding sides of congruent triangles are equal.

Read more on congruent triangles;

brainly.com/question/1675117

#SPJ1

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2 years ago
NEED THIS ASAPWrite the standard form of the equation of each line given the slope and y-intercept
Mama L [17]

<em>Note:</em>

<em>Your first question is missing the y-intercept, so I am solving the 2nd question. You would still get your concept clear because the procedure to solve each of the questions is the same.</em>

                                            Question 2

Answer:

The equation in the standard form is:

  • 2/3x + y = -4

Please also check the attached graph.

Step-by-step explanation:

We know that the equation in the standard form is

Ax + By = C

where x and y are variables and A, B and C are constants

Given

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To determine

  • Write the equation in the standard form

We know that the slope-intercept form of the line equation

y = mx+b

where

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In our case:

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  • y-intercept = -4

substituting m = -2/3 and y-intercept b = -4 in the slope-intercept of the line equation

y = mx+b

y = -2/3x  + (-4)

y = -2/3x - 4

Writing the equation in the standard form

2/3x + y = -4

Therefore, the equation in the standard form is:

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Please also check the attached graph.

4 0
3 years ago
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Assignment: \bold{Solve \ Equation: \ \left(x^2-9x+2\right)+\left(4x^2-5x+1\right)-\left(5x^2-5\right)}

<><><><><><><>

Answer: \boxed{\bold{-14x+8}}

<><><><><><><>

Explanation: \downarrow\downarrow\downarrow

<><><><><><><>

[ Step One ] Remove Parenthesis: (a) = a

\bold{x^2-9x+2+4x^2-5x+1-\left(5x^2-5\right)}

[ Step Two ] Simplify \bold{-\left(5x^2-5\right)}

\bold{-5x^2+5}

[ Step Three ] Rewrite Equation

\bold{x^2-9x+2+4x^2-5x+1-5x^2+5}

[ Step Four ] Simplify \bold{x^2-9x+2+4x^2-5x+1-5x^2+5}

\bold{-14x+8}

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Answer:

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ii) 3000

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