Use the i formation major of 1..... look at picture

Mathematics

1 answer:

lbvjy [14]3 years ago

6 0

<h3>Answer: Choice A</h3>

Explanation:

You basically plug in x = 20, which is the same as saying "replace x with 20". Then you perform arithmetic to simplify each expression. Both simplify to 90, so angle 1 and angle 2 are the same measure. These angles are alternate interior angles, so we'll use the converse alternate interior angle theorem to conclude the lines are parallel.

Note: the alternate interior angle theorem says that if we have parallel lines, then the alternate interior angles are congruent. So the converse goes in reverse of this.

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The annual Gross Domestic Product (GDP) of a country is the value of all of the goods and services produced in the country durin

lawyer [7]

The increase indicates a compound growth of 3.2% per year.
The multiplier is given by 100%+3.2% = 103.2% = 1.032

The initial amount of GDP is 577 billion

We are looking to find in how many years since 1985 that the GDP equals to 1.6 trillion, this is 1.6×10³ billion

The formula for a compound growth/decay is given as
$A_{n}= A_{o} (Multiplier)^{n}$ , where $A_{n}$ is the final value and $A_{o}$ is the intial value.

We are looking to find 'n'

1.6×10³ = 577(1.032)ⁿ
(1.6×10³) ÷ 577 = 1.032ⁿ
1060/577 = 1.032ⁿ ⇒ take log both sides
log( 1060/577 ) = log (1.032)ⁿ
log (1060/577) ÷ log (1.032) = n
n = 19.31 ≈ 19 years

The year when GDP achieves 1.6 trillion is 19 years from 1985, which will be in 2004, providing the increase rates stays the same.

5 0

3 years ago

Look at the cube, and the net of this cube.

Fudgin [204]

Here’s what I found hopefully it helps