Yes LMN is a right triangle .
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.
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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
Answer:
Use Pythagorean theorem,
Hypotenuse² = base² + altitude²
= 3²+ 6²
= 9 + 36
x² = 45
x = √45
x = 6.71
Step-by-step explanation:
Each length is 72 times longer so the actual dimensions are 381.6cm by 576 cm
Answer:
17
Step-by-step explanation:
Since we are evaluating <em>g(x)</em> for g(4), we would substitute <em>x</em> in the equation with 4.
<em>x</em>² + 1
(4)²+ 1
16 + 1
17
I hope this helps
