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Alex Ar [27]
3 years ago
9

Given: Quadrilateral ABCD is a parallelogram with diagonals AC and BD intersecting at E. Prove: Triangle AED is congruent to Tri

angle CEB
Mathematics
1 answer:
daser333 [38]3 years ago
5 0

Answer:

Step-by-step explanation:

In ΔAED , ΔCEB

AD = BC    { opposite sides of parallelogram are equal}

AE = CE    { diagonals of parallelogram bisects each other}

BE = DE    { diagonals of parallelogram bisects each other}

ΔAED ≅ ΔCEB   (SSS congruence)

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The length of a rectangle is 8 feet more than its width. If the width is increased by 4 feet and the length is decreased by 5 fe
alexgriva [62]
Let the width be x.

Length is 8 feet more than width. Length = x + 8

Area = x(x + 8)

width increased by 4, that is,  (x + 4)
Length decreased by 5,    (x + 8 - 5) = (x + 3)

Area  = (x + 4)(x +3)

Area remains the same

x(x + 8) = (x+4)(x +3)

x² + 8x =   x(x +3) + 4(x +3)

 x² + 8x =   x² +3x + 4x +12

x² + 8x =   x² +7x +12        Eliminate x² from both sides

8x = 7x + 12

8x - 7x = 12

x = 12

Dimensions of original rectangle :  x,  x + 8

12, 12 +8 =   12, 20

Original rectangle is   20 feet   by 12 feet 
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3 years ago
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Ann [662]

Answer:

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Step-by-step explanation:

32+35=67

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solmaris [256]

Answer:

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Step-by-step explanation:

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2 years ago
What is the solution of log2x+3125 = 3? (1 point)
enot [183]

Answer:

x =  - 1062.5

Step-by-step explanation:

Assuming the equation is:

log(2x + 3125)  = 3

Then taking antilogarithms gives:

2x + 3125 =  {10}^{3}

We simplify on the left to get:

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This gives us:

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We subtract 3125 from both sides to get:

2x = 1000 - 3125

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x =  - 1062.5

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3 years ago
What is an equation of the line that passes through the points (4,-5) and (-2,7)
Korvikt [17]

Answer:

y = -2x + 3

Step-by-step explanation:

y2 - y1/ x2 - x1

7 - (-5) / -2 - 4

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To find the y-intercept, you need to plug the coordinates into the equation.

y = -2x + b

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2 years ago
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