Answer:
Step-by-step explanation:
10.371
x = 10 .371
Answer:
a. ∆ABC ~ ∆A'B'C'
b. Enlargement
c. Scale factor = 4
Step-by-step explanation:
a. <A corresponds to <A'
<B corresponds to <B'
<C corresponds to <C',
Therefore, the similarity statement would be: ∆ABC ~ ∆A'B'C'
b. The image of the dilation is an enlargement of the original figure because the side lengths of ∆A'B'C are larger than the corresponding side lengths of ∆ABC.
c. Scale factor = the ratio of the corresponding sides
Thus:
Scale factor = A'B'/AB = B'C'/BC = A'C'/AC
Scale factor = 24/6 = 48/12 = 60/15 = 4
Scale factor = 4
well 4/6 is two-thirds so you would do 86/3 which is 28.66666..... (that is one-third)
Then you multiply that by 2 to get two-thirds which would therefore be equal to 4/6 (28.66666 x 2 = 57.3333...)
57.33333 rounded is 57.3
Answer:
110 bonus payments
Step-by-step explanation:
Yearly salary is 20,000. So in 6 years, she will get:
20,000 * 6 = 120,000
Her agent's expectation is 1,000,000 and her salary would cover 120,000
So remaining is 1,000,000 - 120,000 = 880,000
This amount will be taken from bonus payments where bonus is 8000 for every game that attracts 100+ fans. SO we divide 880,000 by 8000 to get the number of bonus payments.
880,000/8000 = 110
10.2 inches/24 hours = 0.425 in/hr notice I changed the fraction to a decimal 1/5 = 0.2
Another method could be to set it up as a proportion, then
10.2 inches = x inches the answer comes out the same of course