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.
Answer:
they are vertical angles
Step-by-step explanation:
just learned about this
Since it's p over four, which is a fraction, multiply each side by four. p = 20
Answer: 171 green marbles
Step-by-step explanation: There are 7 total marbles so 100/7 equals 14.28
Then there is a 2 out of 7 total tries so 14.28 * 2 equals 28.57% chance to get a green marble.
600 * 0.2857 = 171.41 marbles but you cant get half a marble so 171 green marbles.
No solution it’s infinite
