The two triangles we can see in the diagram are similar, which means that their measurements are proportional. Line MN on the larger triangle MNP is 71.5ft long, and its corresponding line, MA, on the smaller triangle is 71.5-22= 49.5ft long. This means that the scale factor from the bigger to the smaller triangle is 71.5/49.5=13/9.
If line MP on the bigger rectangle is 97.5ft long, then its corresponding line, MB, must be 97.5÷13/9=67.5 ft long.
Therefore, x=67.5 ft
Answer:
decrease by 50%
Step-by-step explanation:
Decreased by 60% = (100%-60%)x = 0.4x.
Decreased by 20% = (100%-20%)x = 0.8x.
initial fraction, and we can see that denominator will increase 2 times, so fraction will decrease 2 times, or decrease by 50%.
Answer:
√x
Step-by-step explanation:
First, simplify -3⁄6 to -½. Next, according to the Negative Exponential Rule, move the denominator to the numerator to get x¹\²:
bⁿ = 1\b⁻ⁿ
Then, according to the Definition of Rational Exponents [part I], rewrite this as a radical, which in this case would be √x. This is when your numerator is 1:
ⁿ√aᵐ = aᵐ\ⁿ
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Mario's mistake is made when doing reciprocal.
7 / (2/3) =
I cannot divide by 2/3, but if I do reciprocal, I can multiply by 3/2. The seven comes first, so it should not be flipped.
Mario's mistake was when he flipped the 7 (or 7/1) to 1/7.
