The answer is B.) F and I
n=12
5/6n= 10
multiply both sides by 6.
5/6(6) n= 10(6)
5n=60
divide both sides by five and then you get 12.
5s + 5l = 155, 10s + 12l = 346
Solve for s in the first equation.
5s = 155 - 5l
s = 31 - l
Substitute s into the second equation.
10(31 - l) + 12l = 346
310 - 10l + 12l = 346
310 + 2l = 346
2l = 36
l = 18
Substitute l into the first equation.
5s + 5(18) = 155
5s + 90 = 155
5s = 65
s = 13
s = 13, l = 18
Answer:
17
Step-by-step explanation:
First of all, based on the Pythagorean theorem, a^2 + b^2 = c^2
(it's very important that the ∠ABD angle is 90 degrees)
8^2 + 15^2 = s and 5^2 + 15^2 = CD (but the original question doesn't want the value of CD, so we just need to solve for s)
64 + 225 = 289 now remember, 289 is s^2, and we only want the value of s, so we have to find its square root: √289 = 17
Hope it helped!