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1 year ago

I need to find X and Y to make this shape a parallelogram. Can someone help me? (geometry student)

Mathematics

1 answer:

aliya0001 [1]1 year ago

8 0

Answer:

x=52

Step-by-step explanation:

One of the properties of parallelograms is that angle A = Angle C

5y-54 = 3x eq1

Another property of parallelograms is that angle A + angle B = 180 degrees

5y-54+2y-60 = 180

7y = 180+114 = 294

y = 42

Putting this value in eq1

3x = 5*42-54 = 210-54 = 156

x = 52

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Answer:

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Step-by-step explanation:

Let $\{a_n\}=\{16,3.2,0.64,0.128,\cdots \}$ be the sequence described.

A geometric sequence has the following property: there exists some r (the ratio of the sequence) such that $\frac{a_{n+1}}{a_n}=r$ forr all n>0.

To find r, note that

$\frac{3.2}{16}=\frac{32}{10(16)}=\frac{2}{10}=\frac{1}{5}=0.2$

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Thus $a_{n+1}=r a_n=\frac{a_n}{5}=0.2a_n$ for all n>0, and $a_1=16$

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