Answer:
The value of y s 2.5
Step-by-step explanation:
Vertical angles are always equal to one another. In this case, we can find the angles by setting the two values equal and solving algebraically.
2y + 5 = 4y
5 = 2y
2.5 = y
<h3>
Answer: Choice C</h3>
Explanation:
In this answer choice, we effectively have two columns. In the first column is simply R and B, with R over B. This represents spinning either red (R) or blue (B).
Depending on the outcome, you branch the same outcomes from that.
So if you spin R, then you'll have R and B branch off that. Same idea applies to blue as well.
Something like choice D doesn't work because we have R show up twice at the very bottom.
100000000
8 zeroes in a trillion
3x - y = 9
y = -2x + 11
3x - (-2x + 11) = 9
3x + 2x - 11 = 9
3x + 2x = 9 + 11
5x = 20
x = 20/5
x = 4
y = -2x + 11
y = -2(4) + 11
y = -8 + 11
y = 3
solution (where the lines intersect) is (4,3)
Answer:
e. 10√30
Step-by-step explanation:
In this right triangle geometry, all of the right triangles are similar. This means that the ratio of long side to hypotenuse is the same for all triangles:
x/(10+50) = 50/x
Multiplying by 60x, we have ...
x^2 = 3000
x = 10√30 . . . . . take the square root. Matches choice E.
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<em>Comment on estimating</em>
You're looking for x. Examining the figure, you see that x is the long side of the triangle with hypotenuse 10+50=60, so it will be shorter than that value. x is also the hypotenuse of the triangle with long side 50. So, x will be longer than 50.
The only answer choice with a value between 50 and 60 is choice E.
You don't even need to know how to find x. You only need to know that the hypotenuse is the longest side in a right triangle.
