All the number end in a zero 10 20 30 40 50 60 70 80 90
Answer: B) 4 & 1/6
Nice work on getting the correct answer.
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Explanation:
x is opposite the marked acute angle
5 is opposite the corresponding acute angle
So x and 5 are proportional to each other. We can form the ratio x/5
Similarly, 10 and 12 are proportional to one another. We can form the ratio 10/12.
Set those ratios equal to each other and solve for x
x/5 = 10/12
12x = 5*10 ... cross multiply
12x = 50
x = 50/12 ...... divide both sides by 12
x = (25*2)/(6*2)
x = 25/6
x = (24+1)/6
x = 24/6 + 1/6
x = 4 + 1/6
x = 4 & 1/6 which shows why <u>choice B</u> is the answer.
Side note: 25/6 = 4.167 approximately
Answer:
your down payment be at least 5% of the purchase price. If your down payment is at least 20% of the property price, you typically won't have to pay for private mortgage insurance (PMI), which is required by some loan types.
Step-by-step explanation:
(2x + y)³
(2x + y)(2x + y)(2x + y)
(2x(2x + y) + y(2x + y))(2x + y)
(2x(2x) + 2x(y) + y(2x) + y(y))(2x + y)
(4x² + 2xy + 2xy + y²)(2x + y)
(4x² + 4xy + y²)(2x + y)
4x²(2x + y) + 4xy(2x + y) + y²(2x + y)
4x²(2x) + 4x²(y) + 4xy(2x) + 4xy(y) + y²(2x) + y²(y)
8x³ + 4x²y + 8x²y + 4xy² + 2xy² + y³
8x³ + 12x²y + 6xy² + y³
