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2 years ago

In the figure shown below, AC is parallel to DE with transversal BF

Mathematics

1 answer:

densk [106]2 years ago

4 0

Answer:

<em><u>Given </u></em><em><u>-</u></em><em><u> </u></em> AC is parallel to DE

angle 3y + 28 = angle X ( Vertically opposite angles are equal).

3y + 28 = X

X + Y = 180° ( supplementary angles).

3y - X = (-28)

Solving both the equation we get

multiply eq 1 with 3

3x + 3y = 540

-X + 3y = (-28)

subtracting

4x = 568

x = 142°

3y + 28 = 142

3y = 142 - 28

3y = 114

y = 38°

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3 years ago

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4 years ago

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AlexFokin [52]

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(a) 112, 28, 7, (7/4), (7/16)

Step-by-step explanation:

The sequence is given by the explicit formula

$a_{n} = 112 (\frac{1}{4} )^{n-1}$

The terms of the sequence are :

$a_{1} = 112 (\frac{1}{4} )^{1-1} = 112 (\frac{1}{4} )^{0} =112$

$a_{2} = 112 (\frac{1}{4} )^{2-1} = 112(\frac{1}{4} ) =28$

$a_{3} = 112 (\frac{1}{4} )^{3-1} = 112(\frac{1}{4} )^{2} = 7$

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$a_{5} = 112 (\frac{1}{4} )^{5-1}=112 (\frac{1}{4} )^{4} = \frac{7}{16}$

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