Answer:
1) 3
2) 19
3 + 19 = 22
Step-by-step explanation:
1) x
2) 7x - 2
x + 7x - 2 = 22
8x = 22 + 2
x = 24/8
x = 3
The length of the base diagonal (d) can be found using the Pythagorean theorem on length and width:
... d = √((3 in)² +(13 in)²) = √(9+169) in = √178 in
The tangent of the angle you want to find is the ratio of the height of the box to this length:
... tan(α) = 4/√178
Taking the arctangent, we have
... α = arctan(4/√178) ≈ 0.291285 radians
All you have to do is see if they are all true statements.
a. 8+15 should be bigger than 17
15+17 should be bigger than 8
17+8 should be bigger than 15
a. is a right triangle
b.11+5 should be bigger than 8
8+11 should be bigger than 5
8+5 should be bigger than 11
b. is a right triangle.
I hope that helped. I’m using a different technique and I hope it’s correct.