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Nonamiya [84]
2 years ago
9

The perimeter of the triangle shown is 412 meters. Find the length of each side.

Mathematics
1 answer:
Fudgin [204]2 years ago
7 0

Answer:

x meters= 35

5x meters= 175

6x - 8 = 202

Step-by-step explanation:

x + 5x + (6x - 8)= 412

12x - 8= 412

12x = 412 + 8

12x = 420

x= 35

5x = 35× 5

= 175

6x - 8= 6(35) - 8

= 210 - 8

= 202

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90

Step-by-step explanation:

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3 years ago
What is the solution to this system of linear equations? y − 4x = 7 2y + 4x = 2
erik [133]

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▹ Answer

<em>(-1, 3)</em>

▹ Step-by-Step Explanation

y - 4x = 7

2y + 4x = 2

<u>Substitute</u>

y - (2 - 2y) = 7

<u>Solve</u>

y = 3

<u>Substitute</u>

4x = 2 - 2 * 3

<u>Solve</u>

x = -1

<u>Final Answer</u>

(x, y) = (-1, 3)

Hope this helps!

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4 0
3 years ago
Midpoint (10,4) Endpoint (9,-4), find the coordinates of the other endpoint.​
mestny [16]

Answer:

(11, 12)

Step-by-step explanation:

<u>Mid point coordinates:</u>

  • x = (x₁ + x₂)/2
  • y = (y₁ + y₂)/2

<u>Since midpoint and one endpoint given (10, 4) and (9, -4), the other endpoint:</u>

  • x₂ = 2x - x₁ = 2*10 - 9 = 11
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<u>So the other endpoint is: </u>(11, 12)

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A proportional function passes though the point (6,2). what is the slope of the line?
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6 0
2 years ago
Determine if the events A and B are independent. Show all steps.
zmey [24]

<u><em></em></u>

Answer:

P(A U B )  = \frac{13}{25}

Step-by-step explanation:

<u><em>STEP:-1</em></u>

Given that events A and B are independent then

P(A ∩B ) = P(A) P(B)

Given that P(A) = 2/5 and P(B) = 1/5

<u><em>STEP:- 2</em></u>

P(A ∩B ) = P(A) P(B)

P(A U B) = P(A) +P(B) - P(A n B )

P(A U B ) = P(A) +P(B) - P(A) P(B)

<u><em>Step(iii):-</em></u>

<u><em></em></u>P(A U B ) = \frac{2}{5}  +\frac{1}{5} - \frac{2}{5} X \frac{1}{5}<u><em></em></u>

<u><em></em></u>P(A U B ) = \frac{3}{5}  - \frac{2}{5} X \frac{1}{5}<u><em></em></u>

<u><em></em></u>P(A U B ) = \frac{3}{5}  - \frac{2}{25}<u><em></em></u>

<u><em></em></u>P(A U B ) = \frac{15-2}{25} = \frac{13}{25}<u><em></em></u>

<u><em /></u>

<u><em /></u>

4 0
2 years ago
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