We know that two complements add up to 90.
Let's call the smaller angle x and the larger y.
3x = y
x + y = 90
We can use simple substitution.
x + 3x = 90
4x = 90
x = 22.5
Then, since we know that 3x=y, we can find the larger angle.
3*22.5 = 67.5
Answer:
d = √91 ft = about 9.53 ft
Step-by-step explanation:
use pythagorean theorem which is a²+b²=c²
(the hypotnuse which is opposite side of the right angle is always going to be C in the pythagorean theorem)
a = 3 b = ? c = 10
(3)² + b² = (10)²
9 + b² = 100
subtract 9 from both sides
b² = 91
take the square root of both sides
b = ±√91
so the side d = √91 ft = about 9.53 ft
If you would like to know how many feet of fencing does Laurel need in all, you can calculate this using the following steps:
square garden: 4 * 50 feet = 200 feet
3 square rose beds: 3 * 10.5 feet * 4 = 12 * 10.5 feet = 126 feet
200 feet + 126 feet = 326 feet
Laurel will need 326 feet of fencing.
