Answer:
x = -2
∠A = 35
Step-by-step explanation:
x + 37 + x + 57 = 90
reduce:
2x = -4
x = -2
∠A = 37-2 = 35
Answer:
The angle of depression of the lens must be 26.3°
Step-by-step explanation:
Here we have a right triangle with the opposite side to the angle equal to 5.93 feet and the adjacent side to the angle equal to 12.02 feet. Therefore we just need to use the tangent definition to find the angle.


The angle of depression of the lens must be 26.3°
I hope it helps you!
Answer:
3/4
Step-by-step explanation:
It can be helpful to use a common denominator for comparison. That denominator can be 100, meaning we can make them all decimal fractions. Approximate (2 digit) values are good enough for the purpose.
2/3 ≈ 0.67 . . . . left end of the range
7/9 ≈ 0.78 . . . . right end of the range
3/5 = 0.60
6/9 ≈ 0.67 . . . . = 2/3, so is not greater than 2/3
3/4 = 0.75
6/7 ≈ 0.86
The only decimal value between 0.67 and 0.78 is 0.75, corresponding to the fraction 3/4.
2/3 < 3/4 < 7/9
Ans:
11 and four twelfths
Step-by-step explanation: