Answer:
the answer is 6
Step-by-step explanation:
2x + 9 = 21
2x = 21 - 9
2x = 12
x = 6
A 12-sided die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6,7,8,9,10,11,12}. Find the probability of rolling
Nastasia [14]
<h3>
Answer: 1/12</h3>
This is because there's one side we want (that's labeled "8") out of 12 sides total. This is of course if each side is equally likely.
Side note: this 12-sided die is known as a dodecahedron.
Let the number of raspberry bushes in one garden = x
And the number of raspberry bushes in second garden = y
Garden one has 5 times as many raspberry bushes as second garden,
So the equation will be,
x = 5y -------(1)
If 22 bushes were transplanted from garden one to the second, number of bushes in both the garden becomes same,
Therefore, (x - 22) = (y + 22)
x - y = 22 + 22
x - y = 44 ------(2)
Substitute the value of x from equation (1) to equation (2)
5y - y = 44
4y = 44
y = 11
Substitute the value of 'y' in equation (1),
x = 5(11)
x = 55
Therefore, Number of bushes in garden one were 55 and in second garden 11 originally.
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Step-by-step explanation:
Put you pen in your hand and hold it titely and put in your
The value of x in the triangle is 28.1 degrees
<h3>How to solve for x?</h3>
The given triangle is a right triangle.
So, the relationship between the sides and angle x is:
sin(x) = opposite/hypotenuse
This gives
sin(x) = 8/17
Evaluate the quotient
sin(x) = 0.4706
Take the arc sin of both sides

Evaluate
x = 28.1
Hence, the value of x in the triangle is 28.1 degrees
Read more about right triangles at:
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