Answer: x > 64 and x < 68 is another way of rewriting inequality.
Step-by-step explanation:
To qualify for a role in a play, an actor must be taller than 64 inches but shorter than 68 inches.
⇒The inequality 64 < x < 68, where x represents height,gives the range of height.
⇒In other words range of height can be x > 64 and x < 68 , such that both conditions are applied to single actor.
[with the use of or it will appear to give priority by actor to follow any 1 conditon]
Perpendicular bisectors are segment that passes through the mid point of a triangle, while altitude is the perpendicular distance from the base to the opposite vertex.
You had the right idea using the Pythagorean theorem to solve for b.
Problem is for that triangle to work, the 5 and the 2√2 would have to switch places. The length of a leg cannot be larger than the length of the hypotenuse for it to truly be a right triangle.
Pythagorean theorem only works for the right triangles. Only way to "solve this problem would be to bring in complex numbers.
5² + b² = (2√2)²
25 + b² = 2²(√2)²
25 + b² = 4(2)
25 + b² = 8
b² = 8 - 25
b² = - 17
b = √-17
b= (√17i)
Then the problem with THIS is a measurement/distance cannot be negative... which goes against exactly what that complex number i is.