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LenaWriter [7]
3 years ago
8

Decide whether the statement is true or false. If angle1= angle2 and angle2= angle3 , then angle1= angle3 .

Mathematics
2 answers:
Brilliant_brown [7]3 years ago
6 0

Answer: true

Step-by-step explanation: let’s take angle 1 as 5

angle 1 = angle 2

5=5

we know angle 2 = 5

angle 2 = angle 3

5=5

now we know able 3= 5

angle 1 = angle 3

5=5

kozerog [31]3 years ago
3 0

Answer:

Step-by-step explanation:

Hope this helps

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A = 1011 + 337 + 337/2 +1011/10 + 337/5 + ... + 1/2021
egoroff_w [7]

The sum of the given series can be found by simplification of the number

of terms in the series.

  • A is approximately <u>2020.022</u>

Reasons:

The given sequence is presented as follows;

A = 1011 + 337 + 337/2 + 1011/10 + 337/5 + ... + 1/2021

Therefore;

  • \displaystyle A = \mathbf{1011 + \frac{1011}{3} + \frac{1011}{6} + \frac{1011}{10} + \frac{1011}{15} + ...+\frac{1}{2021}}

The n + 1 th term of the sequence, 1, 3, 6, 10, 15, ..., 2021 is given as follows;

  • \displaystyle a_{n+1} = \mathbf{\frac{n^2 + 3 \cdot n + 2}{2}}

Therefore, for the last term we have;

  • \displaystyle 2043231= \frac{n^2 + 3 \cdot n + 2}{2}

2 × 2043231 = n² + 3·n + 2

Which gives;

n² + 3·n + 2 - 2 × 2043231 = n² + 3·n - 4086460 = 0

Which gives, the number of terms, n = 2020

\displaystyle \frac{A}{2}  = \mathbf{ 1011 \cdot  \left(\frac{1}{2} +\frac{1}{6} + \frac{1}{12}+...+\frac{1}{4086460}  \right)}

\displaystyle \frac{A}{2}  = 1011 \cdot  \left(1 - \frac{1}{2} +\frac{1}{2} -  \frac{1}{3} + \frac{1}{3}- \frac{1}{4} +...+\frac{1}{2021}-\frac{1}{2022}  \right)

Which gives;

\displaystyle \frac{A}{2}  = 1011 \cdot  \left(1 - \frac{1}{2022}  \right)

\displaystyle  A = 2 \times 1011 \cdot  \left(1 - \frac{1}{2022}  \right) = \frac{1032231}{511} \approx \mathbf{2020.022}

  • A ≈ <u>2020.022</u>

Learn more about the sum of a series here:

brainly.com/question/190295

8 0
2 years ago
Read 2 more answers
The quotient of a number, divided by 3, equals-8
melisa1 [442]

Answer:

x / 3 = -8

Step-by-step explanation:

5 0
2 years ago
Which value, when placed in the circle, would result in a system of equations with infinitely many solutions?
Arlecino [84]

Answer:

A. -10

Step-by-step explanation:

I think you would do like this:

y=2x-5

what about 2y(2x-5) times 2)

so 2y=4x- (-10)

5 0
3 years ago
For f(x) = 1/3x +5 <br><br> f(3) =
Mrrafil [7]

Answer:

f(3) = 6

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 1/3x + 5

f(3) is x = 3

<u>Step 2: Evaluate</u>

  1. Substitute:                    f(3) = 1/3(3) + 5
  2. Multiply:                        f(3) = 1 + 5
  3. Add:                              f(3) = 6
3 0
3 years ago
Please help<br><br> y = -2/3
Arisa [49]

Answer: straight line across on the y axis on -2/3

Step-by-step explanation:


6 0
3 years ago
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