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2 years ago

Help me find XY!!!!!

Mathematics

1 answer:

horsena [70]2 years ago

7 0

Answer:

x = 11.428

Step-by-step explanation:

See the diagram of angles attached to this question.

XY is a segment of straight line and straight line n is a transverse and they meet at point M.

So, the angles formed by the transverse line will be supplementary.

Therefore, from the diagram, (5x + 8) + (9x + 12) = 180°

⇒ 14x + 20 = 180

⇒ 14x = 160

⇒ x = 11.428 (Answer)

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Julie bought $8.64 worth of 57-cent stamps and 30-cent stamps. The number of 30-cent stamps was 6 less than the number of 57-cen

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2 years ago

what is the common ratio for the geometric sequence below, written as a fraction? 768, 480, 300, 187.5, …

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Let

$a1=768\\a2=480\\a3=300\\a4=187.5$

Step $1$

Find $\frac{a2}{a1}$

$\frac{a2}{a1} =\frac{480}{768}$

Divide by $96$ numerator and denominator

$\frac{480}{768} =\frac{\frac{480}{96}}{\frac{768}{96}} \\ \\ \frac{480}{768}=\frac{5}{8}$

$a2=a1*\frac{5}{8}$

Step $2$

Find $\frac{a3}{a2}$

$\frac{a3}{a2} =\frac{300}{480}$

Divide by $60$ numerator and denominator

$\frac{300}{480} =\frac{\frac{300}{60}}{\frac{480}{60}} \\ \\ \frac{300}{480}=\frac{5}{8}$

$a3=a2*\frac{5}{8}$

Step $3$

Find $\frac{a4}{a3}$

$a4=187.5 \\ a4=187\frac{1}{2} \\ \\ a4=\frac{375}{2}$

$\frac{a4}{a3} =\frac{\frac{375}{2}}{300} \\ \\ \frac{a4}{a3} =\frac{375}{600}$

Divide by $75$ numerator and denominator

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$a4=a3*\frac{5}{8}$

In this problem

The geometric sequence formula is equal to

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For $n\geq 1$

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the answer is

the common ratio for the geometric sequence above is $\frac{5}{8}$

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