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DENIUS [597]
3 years ago
7

1.The population of the world is approximately 6200 million people. It is increasing by approximately 93 million people each yea

r.Use this information to calculate the percentage increase in the population over a year.
2. Mike says, ‘An increase of 93 million people each year is more than 170 people each minute’.Show that he is correct.
Mathematics
1 answer:
STALIN [3.7K]3 years ago
8 0
The fraction can simplify down to \frac{93}{6200} convert it to a fraction and the yearly increase is 1.5%

2. Well on average there are 365 days in a year. Dividing 93 million by 365 will get your increase per day. 
There are 24 hours in a day, so that figure is further divided by 24.
There are also 60 minutes in an hour therefore furthermore divided by 60.
= 176 therefore true
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{{{ THE BOLDED CHARACTERS SHOULD BE SMALL. }}}

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Suppose ΔXYZ is given, and you want to construct ΔABC so that the triangles are congruent. Which constructions would guarantee t
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Answer:

A: constructing ΔABC so that AB ≅ XY, BC ≅ YZ, and CA ≅ ZX

C: constructing ΔABC so that AB ≅ XY, CA ≅ ZX, and ∠A ≅ ∠X

Step-by-step explanation:

* Lets revise the ways of constructing a triangle

- There are 3 ways to construct a triangle

# You must have length of one side and measures of two angles which

  are the endpoint of the side

# You must have a length of two sides and the measure of the including

  angle between the two sides

# You must have the length of the 3 sides

* Lets solve the problem

∵ Δ XYZ ≅ Δ ABC

∴ XY = AB , YZ = BC , ZX = CA

∴ m∠ X = m∠ A , m∠ Y = m∠ B , m∠ Z = m∠ C

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∴ constructing ΔABC so that AB ≅ XY, BC ≅ YZ, and CA ≅ ZX ⇒ A

# The length of two sides and the measure of the including angle

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∵ The including angles between the sides are ∠A and ∠X

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4 0
4 years ago
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