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Aleksandr-060686 [28]
3 years ago
5

AB = 6x DC = x + 15 AD = 9 BC = 3y Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent. Show tha

t quadrilateral ABCD is a parallelogram by finding the lengths of the opposite side pairs.
Mathematics
1 answer:
Kruka [31]3 years ago
5 0

Answer:

The given quadrilateral is a parallelogram.

Step-by-step explanation:

If a quadrilateral is a parallelogram , then the opposite sides would be equal.

Here we are going to equate the length of  1 pair of opposite sides to find the value of x and use this value of x to verify whether the other pair of opposite sides are equal.

AB = 6x

BC = 3x

DC = x + 15

AD = 9  

Equate AB and CD,

6x = x + 15

5x = 15

x = 3

Now BC and DA should be equal.

BC = 3x = 9

Also DA = 9

As we can see, the other pair of opposite sides are also equal.

Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent.

Hence , the given quadrilateral is a parallelogram.

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Answer:

-5x+2

Step-by-step explanation:

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4-5x-2

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2 years ago
Help me with these 3 and explain too thank you :))
xz_007 [3.2K]

Answer:

1) 25

2) 2

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Step-by-step explanation:

1) Given that f(x) = 4x^2  + 9

If x = -2

f(-2) = 4(-2)^2 + 9

f(-2) = 4(4) + 9

f(-2) = 16 + 9

f(-2) = 25

2) Given that f(x) = 4x - 6

y = 4x - 6

Replace y  with x

x = 4y - 6

MAke y the subject of the forfmula

4y = x+ 6

y = (x+6)/4

SInce x = 2

f^(-1)(2) = (2+6)/4

f^(-1)(2) = 8/4 = 2

3) If f(x) = 6x and g(x) = x+6

f(g(x)) = f(x+6)

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Since x = 1

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3 years ago
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olga_2 [115]

Answer:

107 meters

Step-by-step explanation:

Central angle = 123°

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123° = 123π/180

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Putting in formula

S = r∅

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S = 107 meters

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2 years ago
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