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3 years ago

Find the value of x please helpWill give brainliest

Mathematics

1 answer:

Vikki [24]3 years ago

3 0

X =25
since the angles are equal to each other, and the same, you can make each angle equal to each other and solve for x:
5x+7=132
5x=125
X=25

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the graph shows the first five terms in a geometric sequence what is the iterative rule for the sequence

algol [13]

The iterative rule for the sequence is a_n = 8 · ( 0.5 )ⁿ ⁻ ¹

<h3>Further explanation</h3>

Firstly , let us learn about types of sequence in mathematics.

Arithmetic Progression is a sequence of numbers in which each of adjacent numbers have a constant difference.

$\boxed{T_n = a + (n-1)d}$

$\boxed{S_n = \frac{1}{2}n ( 2a + (n-1)d )}$

<em>Tn = n-th term of the sequence</em>

<em>Sn = sum of the first n numbers of the sequence</em>

<em>a = the initial term of the sequence</em>

<em>d = common difference between adjacent numbers</em>

Geometric Progression is a sequence of numbers in which each of adjacent numbers have a constant ration.

$\boxed{T_n = a ~ r^{n-1}}$

$\boxed{S_n = \frac{a( 1 - r^n ) }{1 - r}}$

<em>Tn = n-th term of the sequence</em>

<em>Sn = sum of the first n numbers of the sequence</em>

<em>a = the initial term of the sequence</em>

<em>r = common ratio between adjacent numbers</em>

Let us now tackle the problem!

<u>Given:</u>

a₁ = 8

a₂ = 4

a₃ = 2

a₄ = 1

<u>Solution:</u>

<em>Firstly , we find the ratio by following formula:</em>

$r = a_2 \div a_1 = 4 \div 8 = 0.5$

$\texttt{ }$

<em>The iterative rule for the sequence:</em>

$a_n = a_1 \cdot~ r^{n-1}$

$a_n = 8 \cdot~ (0.5)^{n-1}$

$\texttt{ }$

<h3>Learn more</h3>

Geometric Series : brainly.com/question/4520950
Arithmetic Progression : brainly.com/question/2966265
Geometric Sequence : brainly.com/question/2166405

<h3>Answer details</h3>

Grade: Middle School

Subject: Mathematics

Chapter: Arithmetic and Geometric Series

Keywords: Arithmetic , Geometric , Series , Sequence , Difference , Term

6 0

3 years ago

Find the surface area of the rectangular prism (above) using its net (below). need help pls guy.

Lena [83]

Answer:

Step-by-step explanation:

3 x 5 = 15

3 x 2 = 6

2 x 5 = 10

15 x 2 = 30

6 x 2 = 12

10 x 2 = 20

30 + 12 + 20 = 62

6 0

2 years ago

Savings account deposit:$1,400rate:5%per year time:3 years

marysya [2.9K]

1610 if without interest

7 0

3 years ago

PLEASE HELP = simplify 3/4(-10+2/5)

solniwko [45]

There are many ways to do this depending on the property you have to use:

If you use the distributive property, you need to distribute 3/4 to -10 and 2/5. Distribute means you will multiply it so your resulting equation will be this:

$\frac{-30}{4} - \frac{6}{20}$

Before you can add, you need to first make them like terms because you cannot add unlike fractions. Get the LCD and form your new equation:

$\frac{-150+6}{20}$

Now you can just add them together to get:
$\frac{-144}{20}$

and then simplify your fraction:
$\frac{-36}{5}$ or - $\frac{36}{5}$

The whole fraction becomes negative because when you divide integers and of them is negative, the final answer will be negative.

3 0

3 years ago

I Need Help With Graphing Linear Functions

NNADVOKAT [17]

The answer should be option c

3 0

3 years ago

Read 2 more answers

Find the value of x please helpWill give brainliest​

Find the value of x please helpWill give brainliest