Answer:
HC = 1
Step-by-step explanation:
AC = HC +AH = HC +(HC+2) = 2·HC +2
The altitude divides the triangle into similar triangles, so the ratio of hypotenuse to short side is the same for all. That is ...
BC/HC = AC/BC
2/HC = (2HC +2)/2
4 = 2(HC)(HC +1) . . . . . cross multiply
0 = HC² +HC -2 . . . . . . divide by 2, subtract 2
0 = (HC -1)(HC +2) . . . . factor. Solutions are those values of HC that make the factors be zero.
The useful solution is ...
HC = 1
Answer:
1) 50/100 or 50%
2) 1/6 or 16.67%
Step-by-step explanation:
Answer:
n = -28
Step-by-step explanation:
-4 = 10 + n/2
first step, subtract 10 from each side to get:
-14 = n/2
cross-multiply to get:
n = -28
Mark ran 28.2 miles less than Cody, but Mark ran 12.4 miles, so Cody ran 40.6 miles.
miles Cody ran - miles Mark ran = 28.2
C - 12.4 = 28.2
C = 40.6 miles
