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:
22 meters
Step-by-step explanation:
What we know:
Side AB is 7 1/2 m long, Side BC is 2 1/4 m long, and Side DE is 1 1/4 m long.
Saying Sides AH and FG are the same as Sides DE and BC respectively, we can add another 3 1/2 m to the perimeter.
If CD, EF and GH are each 1/3 of AB, then 7 1/2 is added again.
7.5 + (2.5 * 3) * (2.25 * 2) + (1.25 * 2)
7.5 + 7.5 + 4.5 + 2.5
15 + 7
The perimeter is 22 meters.
Answer:
The answer to your question is (-4, 9) and (3, 2)
Step-by-step explanation:
Data
Equation 1 y = x² - 7
Equation 2 y = -x + 5
Process
1.- Substitute Equation 2 in equation 1
-x + 5 = x² - 7
2.- Equal to zero
x² + x - 7 - 5 = 0
x² + x - 12 = 0
3.- Factor to find x
(x + 4)(x - 3) = 0
x₁ + 4 = 0 x₂ - 3 = 0
x₁ = -4 x₂ = 3
4.- Substitute x₁ and x₂ to find y
y = -x + 5 x₁ = -4
y = -(-4) + 5
y = 4 + 5
y = 9 Solution (-4, 9)
y = -x + 5 x₂ = 3
y = -3 + 5
y = 2 Solution (3, 2)
Answer:
--9x^3+12x^2-x-2
Step-by-step explanation:
(2-3x)(3x^2-2x-1)
6x^2-4x-2-9x^3+6x^2+3x
-9x^3+6x^2+6x^2+3x-4x-2
-9x^3+12x^2-x-2
I think that it is 2/12 or 1/6 because there are 6 sides on each dice.
