Answer:
6
Step-by-step explanation:
=> -x+4
<u><em>Given that x = -2</em></u>
=> -(-2)+4
=> 2+4
=> 6
Based on the exchange rate, at the end of the trade, Lewis will have 31 puppets and 2 puzzles left over while Geppeto will have 158 puzzles and 4 puppets left over.
<h3>What is the exchange rate of puzzles for puppets?</h3>
The exchange rate of puzzles for puppets is 3 to 1.
Geppeto has 20 puppets to exchange for puzzles.
Lewis has 50 puzzles to exchange for puppets.
Number of times Lewis can exchange puzzles for puppets = 50/3 = 16 times.
Lewis will get 16 puppets in exchange for 48 puzzles.
Therefore;
Lewis will have 16 + 25 puppets = 31 puppets and 2 puzzles left over
Geppeto will have 48 + 100 puzzles = 158 puzzles and 4 puppets left over.
in conclusion, the exchange rate determines the how many puzzles and puppets will each one have after they complete their trade.
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Smaller number=x
larger number=2x+4
x+2x+4=70
3x+4=70
3x=66
x=22
Smaller number=22
The measure of the supplementary angles are 34.3 and 145.7 degrees.
<h3>What are supplementary angles?</h3>
Supplementary angles are those angles that sum up to 180 degrees.
In other words, two angles are Supplementary when they add up to 180 degrees.
Therefore, the angles measures 111.4° more than the measure of it's supplementary angle.
Hence,
let
x = measure of the other angle
x + x + 111.4 = 180
2x + 111.4 = 180
subtract 111.4 from both sides
2x + 111.4 - 111.4 = 180 - 111.4
2x = 68.6
divide both sides by 2
x = 68.6 / 2
x = 34.3
Other angle = 34.3 + 111.4 = 145.7°
Therefore, the measure of the supplementary angles are 34.3 and 145.7 degrees.
learn more on supplementary angles here: brainly.com/question/15966137
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