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 will be 14/20 because there a total of 20 beads and 8 red beads and 6 green beads which is 14 out of 20 total beads
Answer:
y = x - 5
Step-by-step explanation:
The equation of the line parallel to the line 
is 
.
That is, equations of parallel lines differ only by constant.
The given equation is 
This is written as 
Therefore, the equation of the line parallel to this line is given by 
The value of c is determined using the point given.
Substituting the point (3,-2) we get:
Therefore, the equation of the line becomes y = x - 5.
Answer:
10
Step-by-step explanation:
x³=1000
x=3√1000
x=10
