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ohaa [14]
2 years ago
9

Match each statement to it’s corresponding reason. Drake the items on the left to the correct location on the right PLEASE AND T

HANK YOU

Mathematics
1 answer:
andreyandreev [35.5K]2 years ago
6 0

Answer:

Step-by-step explanation:

1) \angle AED and \angle BEC are vertical angles

2) \angle AED and \angle BEC are created by intersecting lines (definition of vertical angles)

3) \angle AED and \angle AEB form a linear pair, \angle AEB and \angle BEC form a linear pair

4)  \angle AED and \angle AEB are supplementary, \angle AEB and \angle BEC are supplementary

5) \angle AED \cong \angle BEC

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Simplify 3(3x_2y)_(4x_6y)<br><br><br>​
klemol [59]

Answer:

5x

Step-by-step explanation:

I think the problem was.  

3(3x - 2y) - (4x - 6y)

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2 years ago
The system of equations
cupoosta [38]

Answer:

z = -12

Step-by-step explanation:

The given system of equations is:

xy/(x + y) = 1 ...........................(1)

xz/(x + z) = 2...........................(2)

yz/(y + z) = 3...........................(3)

From (1): x + y = xy

=> y = xy - x

y = x(y - 1)

x = y/(y - 1).......................................(4)

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=> 2x + 2z = xz

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z = 2x/(x - 2) ....................................(5)

From (3): 3(y + z) = yz

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3y = z(y - 3)

z = 3y/(y - 3)....................................(6)

Comparing (5) and (6)

2x/(x - 2) = 3y/(y - 3)

2x(y - 3) = 3y(x - 2)

2xy - 6x = 3xy - 6y

6(y - x) = xy .................................(7)

But from (1): xy = x + y

Using this in (7), we have

6(y - x) = x + y

6y - y - 6x - x = 0

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5y = 7x

x = 5y/7................................................(8)

Using this in (4)

5y/7 = y/(y - 1)

1/(y - 1) = 5/7

(y - 1) = 7/5

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Using this in (8)

x = 5(12/5)/7 = 12/7 .......................(10)

Using (10) in (5)

z = 2x/(x - 2)

z = 2(12/7) ÷ (12/7 - 2)

= 24/7 ÷ -2/7

= 24/7 × (-7/2)

= -24/2 = -12

z = -12.

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3 years ago
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