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Elis [28]
2 years ago
11

The measure of an angle's supplement is 44 less than the measure of the angle.

Mathematics
1 answer:
Luden [163]2 years ago
5 0

Answer:

< 1 = 112 degrees

< 2 = 68 degrees

Step-by-step explanation:

< 1 = x

< 2 = x - 44

x + x - 44 = 180

2x = 180 + 44

x = 224/2

x = 112

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You can check the answer by yourself after seeing the below answer.

Step-by-step explanation:

A sequence is geometric only if has common ratio i.e. r=\frac{a2}{a1} =\frac{a3}{a2} whiere a1,a2 and a3 are first,second and third term of the sequence respectively.

1) Common ratio r=\frac{-18}{-3}=\frac{-108}{-18}=6\\

 Explicit formula a_{n} =a_{1} .r^{n-1}

Now using the above formula, we can find 8^{th} term=-3*(6)^{8-1} =-3*6^{7}=-839808.

2) Here

\frac{a2}{a1}\neq \frac{a3}{a2}\\\frac{-2}{-4}\neq \frac{1}{-2}\\\frac{1}{2}\neq\frac{1}{-2} so this is not geometric sequence so no need to proceed further.

3) Common ratio r=\frac{15}{-3}=\frac{-75}{15}=-5\\

 Explicit formula a_{n} =a_{1} .(-5)^{n-1}

Now using the above formula, we can find 8^{th} term=-3*(-5)^{8-1} =-3*(-5)^{7}=234375.

4) Common ratio r=\frac{-6}{1}=\frac{36}{-6}=-6\\

 Explicit formula a_{n} =a_{1} .(-6)^{n-1}

Now using the above formula, we can find 8^{th} term=1*(-6)^{8-1} =1*(-6)^{7}=-279936.

5)Common ratio r=\frac{-8}{4}=\frac{16}{-8}=-2\\

 Explicit formula a_{n} =a_{1} .(-2)^{n-1}

Now using the above formula, we can find 8^{th} term=4*(-2)^{8-1} =4*(-2)^{7}=-512.

6)Common ratio r=\frac{-8}{-2}=\frac{-32}{-8}=4\\

 Explicit formula a_{n} =a_{1} .(4)^{n-1}

Now using the above formula, we can find 8^{th} term=-2*(4)^{8-1} =-2*(4)^{7}=-32768.






3 0
3 years ago
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