Answer:
reflection, then rotation, then translation
Step-by-step explanation:
Read the problem statement. It tells you the sequence:
Triangle A B C is <em>reflected</em> across B C to form triangle A prime B C. Triangle A prime B C is <em>then rotated</em> about point A to form A prime B prime C prime. Triangle A prime B prime C prime is <em>then shifted to the right</em> to form A double-prime B double-prime C double-prime.
The transformations are ...
reflection, then rotation, then translation
Answer:
Option B. 8.6%
Step-by-step explanation:
Simple index of two stocks: i=?
i=[(5,000*5.1+2,500*7.45)/(5,000*4.5+2,500*7.25)-1]*100%
i=[(25,500+18,625)/(22,500+18,125)-1]*100%
i=[(44,125)/(40,625)-1]*100%
i=[1.086153846-1]*100%
i=[0.086153846]*100%
i=8.6153846%
i=8.6%
Answer: the length of Maria's piece of string is 45 inches.
the length of Katy's piece of string is 39 inches
Step-by-step explanation:
Let x represent the length of Maria's piece of string.
Let y represent the length of Katy's piece of string.
When they put the two pieces of string together end to end, the total length is 84inches. This means that
x + y = 84 - - - - - - - - - - - -1
Maria's string is 6 inches longer than Katy's. This means that
x = y + 6
Substituting x = y + 6 into equation 1, it becomes
y + 6 + y = 84
2y + 6 = 84
2y = 84 - 6 = 78
y = 78/2 = 39
x = y + 6 = 39 + 6
x = 45
23.
store price = 14 + 0.5(14)
store price = 21
customer price = 21 + 0.08(21)
customer price = 21 + 1.68
customer price = $22.68
24.
formula: A = P(1 + rt)
A = 140(1 + (0.03)(2))
A = 140(1.06)
A = 148.40
interest = 148.40 = 140
interest = $8.40
Hope this helps!! :)
Answer:
She spent 5 hours mowing lawns.
Step-by-step explanation:
To solve, we will just use some algebra
8h + 20 = 60 | Subtract 20 from both sides
8h = 40 | Divide both sides by 8
h = 5
We can confirm this by plugging it back into the original formula.
8(5) + 20 = 60
40 + 20 = 60
60 = 60