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3 years ago

Find the value of x.

Mathematics

1 answer:

love history [14]3 years ago

8 0

Answer:

x is 64 degrees

Step-by-step explanation:

Since the polygon is a quad we know all the angles add up to 360. So, we can do :

100 + 130 + 66 = 360 - x

296 = 360 - x

Subtract 360 on both sides

-64 = -x

Multiply by negative one on both sides and we get

64 = x

x is 64 degrees

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What is the equation of a line that contains the points (8, –3) and (–8, 3)?

DerKrebs [107]

Answer:

1. D y = 8

2. C y = −8

Step-by-step explanation:

1.Both points have y-coordinate 8, so the line is horizontal.

A horizontal line has equation y = k

where k is the y-coordinate of all of its points.

The y-coordinate of all points on this line is 8.

Answer: y = 8

2.A line with 0 slope is a horizontal line. All points on a horizontal line have the same y-coordinate.

A horizontal line has equation

y = k

where k is the y-coordinate of all of its points.

The y-coordinate of the given point is -8, so all points must have -8 as the y-coordinate.

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3 years ago

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GuDViN [60]

Answer:

$\frac{-5 \pm \sqrt{13} }{6}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Step-by-step explanation:

Step 1: Define

$\frac{-5 \pm \sqrt{5^2-4(3)(1)} }{2(3)}$

Step 2: Evaluate

Evaluate Exponents: $\frac{-5 \pm \sqrt{25-4(3)(1)} }{2(3)}$
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3 years ago

How long does it take for a simple with total number n to decay to 1/3n?

Vlada [557]

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3 years ago

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Shalnov [3]

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3 years ago

An infinite geometric series has a first term ai = 15 and a sum of 45. Explain how you

oee [108]

Answer:

r= $\frac{2}{3}$

Step-by-step explanation:

The sum to infinity of a geometric series is calculated as

S∞ = $\frac{a_{1} }{1-r}$ ; | r | < 1

where a₁ is the first term and r the common ratio

here a₁ = 15 and S∞ = 45 , then

45 = $\frac{15}{1-r}$ ( multiply both sides by (1 - r ) )

45(1 - r) = 15 ( divide both sides by 45 )

1 - r = $\frac{15}{45}$ = $\frac{1}{3}$ ( subtract 1 from both sides )

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2 years ago