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3 years ago

BRAINIEST & 25 POINTS

Mathematics

1 answer:

larisa [96]3 years ago

7 0

Answer:

63 degrees

Step-by-step explanation:

All angles add up to 180

(5x+6) + (4x-6) + (5x-2) = 180

put like terms together

5x+4x+5x + 6-6-2 = 180

14x -2 = 180

add 2 to both sides

14x = 182

divide both sides by 14

x=13

angle G is 5x-2, so if x=13, angle G is 5(13) -2

= 65 -2 = 63 degrees

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Step-by-step explanation:

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2 years ago

An arithmetic sequence has t1=5 and t2=8 find tn and sn

RoseWind [281]

Answer:

$a_n=2+3n$

$\displaystyle S_n=\frac{7n+3n^2}{2}$

Step-by-step explanation:

<u>Arithmetic Sequences </u>

The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.

The equation to calculate the nth term of an arithmetic sequence is:

$a_n=a_1+(n-1)r$

Where

an = nth term

a1 = first term

r = common difference

n = number of the term

The sum of the n terms of an arithmetic sequence is given by:

$\displaystyle S_n=\frac{a_1+a_n}{2}\cdot n$

We are given the first two terms of the sequence:

a1=5, a2=8. The common difference is:

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Thus the general term of the sequence is:

$a_n=5+(n-1)3=5+3n-3=2+3n$

$\boxed{a_n=2+3n}$

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Operating:

$\boxed{\displaystyle S_n=\frac{7n+3n^2}{2}}$

4 0

2 years ago

What is the circumference of a circle when the diameter is 3

Jlenok [28]

Answer:

9.42 units (3 s.f.)

Step-by-step explanation:

Circumference of circle= 2πr

Radius

= diameter ÷2

= 3 ÷2

= 1.5

Circumference of circle

= 2(π)(1.5)

= 3π

= 9.42 units (3 s.f.)

7 0

2 years ago

Read 2 more answers

*BRAINIEST & 25 POINTS*

BRAINIEST & 25 POINTS