So angles on a straight line add up to 180°
And angles in a triangle adds up to 180° try if you can work it out now
If you still don’t understand let me know
Answer:
Each pitcher has the same fraction of the other drink.
Step-by-step explanation:
After 1 cup of tea is added to x cups of lemonade, the mix has the ratio 1:x of tea to lemonade. So, the fraction of mix that is tea is 1/(x+1).
The 1 cup of mix contains 1/(x+1) cups of tea and so x/(x+1) cups of lemonade. When that amount of lemonade is added to the tea, it brings the proportion of lemonade in the tea to (x/(x+1))/x = 1/(x+1), the same proportion as that of tea in the lemonade.
_____
You can consider the degenerate case of one cup of drink in each pitcher. Then when the 1 cup of tea is removed from its pitcher and added to the lemonade, you have a 50-50 mix of tea and lemonade. Removing 1 cup of that mix and putting it back in the tea pitcher makes there be a 50-50 mix in both pitchers.
Increasing the quantity in each pitcher does nothing to change the fact that the mixes end up in the same ratio:
tea:lemonade in Pitcher 1 = lemonade:tea in Pitcher 2
The science of correct reasoningLogicThe drawing of inferences or conclusions from known or assumed factsReasoningUses observations and patterns to arrive at a conclusion (conjecture)Inductive reasoningUses facts, rules, definitions, or properties to arrive at a conclusionDeductive reasoningA statement that can be written in if-then formConditional statementConditional statement symbol-->The opposite meaning of the original statementNegationsA statement, example, figure, etc... that proves that a statement is falseCounterexamplesIf you live in florida, then you live in miamiFalse; counterexampleWith counterexamples you should not correct the statement and give an example of why the statement is falseTrueAll true statement do have counterexamplesFalse they do notConditional symbolp-->qSwitch the hypothesis and conclusionConverseConditional and the converseBiconditional statementsJoins the conditional and converse into one statement<span>Bionditional statements</span>
Answer::))
Step-by-step explanation::))
This can be solve by establishing equations.
let x be the miles mrs. storey drove
y be the miles mr storey drovee
the first equation is
y = 3x
second equation
x + y = 3200
then substitute equation 1
x + 3x = 3200
4x = 3200
x = 800 miles mrs storey drove
y = 3x = 2400 miles mr storey drove
