Answer:
1/3
Step-by-step explanation:
There are 6 sides on a dice. These are two of the possibilities. 2/6 is the same as 1/3.
Since the perimeter must not exceed 291.
Let the third side be x.
x + 87 + 64 < 291
x + 151 < 291.
x < 291 -151.
x < 140. (First)
But for a triangle there is what is called the Triangle Inequality Theorem. That given the two sides of a tringle, the third side of the triangle must greater than the positive difference between the two sides and less than the sum of the two sides.
So for this case. 87 and 64.
x > ( 87 - 64). x > 23.
x < (87 + 64) x < 151. Combine both inequalities.
23 < x < 151 (second).
Combining First and second. Both must be satisfied.
So we have a more accurate answer as:
23 < x < 140. x is greater than 23 and x is less than 140.
x could be 24, 25, 26, 27, ......, 139. cm.
I hope this helps.
The answer is A. If you translate the triangle 10 units up and reflect it over the y-axis, the triangle will be on top of the other.
Answer:
C.) 2x+3 = 12
Step-by-step explanation:
x+x=2x
2x-(-3) is 2x+3
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Answer:
+ 1
Step-by-step explanation:
Given
x² + 2x = 9
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(1)x + 1² = 9 + 1²
(x + 1)² = 10
