AABC is similar to AAXY by a ratio of 4:3. If BC = 24, what is the length of XY?
1 answer:
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Answer:
Subtracted 12 times a number from 72 is less than 24.
Step by step solution
Given inequality is
We need to write in word.
12a means 12 times a number “a”
72-12a means subtract 12a from 72.
72-12a<24 means result is less than 24.
Inequality shows “Subtracted 12 times a number from 72 is less than 24”
If we solve for number “a”
-12a<24-72
-12a<-24
a>2
All the number greater than 2 satisfy the given inequality.
Answer:
b = 81
Step-by-step explanation:
given a² and b are directly proportional then the equation relating them is
a² = kb ← k is the constant of proportionality
to find k use the condition a = 2 when b = 9 , then
2² = 9k
4 = 9k ( divide both sides by 9 )
= k
a² = b ← equation of proportion
when a = 6 , then
6² = b
36 = b ( multiply both sides by 9 to clear the fraction )
324 = 4b ( divide both sides by 4 )
81 = b