Answer:
scale factor = 2
Step-by-step explanation:
Determine the ratio of corresponding sides, image to original
scale factor =
= 2
Let Daniel's age be 'x' years , hence, Lisa's age is (x - 5) years. Let Grandma's age be 'y' = 54 years.
Hence,
x(x - 5) = 2/3 × y
x² - 5x = 2 × 54 years / 3
x² - 5x = 36 years
x² - 5x - 36 = 0
∆ = (-5)² - 4(1)(-36) = 25 + 144 = 169
√∆ = √169 = 13

x1 = (5+13)/2, x2 = (5-13)/2
x1 = 9, x2 = -4
Since, age can't be negative,
Daniel's age = x = 9 years.
Answer:
First lets simplify the m's. So to simplify we can use this formula
x^n / x^b = x^(n-b)
So that means that 5--7 = 5+7 = 12. So we can cancel out the m at the bottom and get m^12. Seen as we have m^12 on only of one we can take advantage and answer that. But just to prove for the n's we can do same 4--2 = 4+2 = 6. So that also says n^6. So That proved that
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Answer:
37
Step-by-step explanation:
The angle with a red square is 90, because it's a right angle. 53 + 90 is 143. 180 is the sum of all the angles in a triangle, so you do 180-143. 180-143=37
Answer:
0.1715
Step-by-step explanation:
From previous experience 340/1982 is the past probability that a person has high blood pressure.
The division of that leads to 0.1715 that the next person will have high blood pressure. That number is roughly (very roughly) 1 person in 6. So if 6 people come in 1 will have high blood presure.