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➷ The ratio for the lengths is (5/8)
However, as it is area, it would be squared
So the correct answer would be (25/64)
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Answer:
x is 7.5 so the answer is D
Step-by-step explanation:
Since the triangles are similar, you can flip the 1st one to match the 2nd.
Now you can write
16/12=10/x
(the 9 is irrelevant)
now cross multiply to solve for x
12x10=120
120/16=7.5
x is 7.5
Answer:A
Step-by-step explanation:
-7x^2-4x+20
-(7x^2+4x-20)
-(7x^2+14x-10x-20)
-(7x(x+2)-10(x+2))
-(7x-10)(x+2)
The jeweler bought it for (1235.55 * 73.5) = 90812.925...expenses
and the jeweler sold it for (1376.44 * 73.5) = 101168.34...revenue
profit = revenue - expenses
profit = 101168.34 - 90812.925 = 10355.415 rounds to 10,355.42 <==
To factor quadratic equations of the form ax^2+bx+c=y, you must find two values, j and k, which satisfy two conditions.
jk=ac and j+k=b
The you replace the single linear term bx with jx and kx. Finally then you factor the first pair of terms and the second pair of terms. In this problem...
2k^2-5k-18=0
2k^2+4k-9k-18=0
2k(k+2)-9(k+2)=0
(2k-9)(k+2)=0
so k=-2 and 9/2
k=(-2, 4.5)
