Answer: The first option.
Step-by-step explanation:
If you square you get
x=0
If the original angle is x degrees then its supplement is 180 - x degrees.
we have the equation:-
180 - x = 3x + 20
160 = 4x
x = 40
The original angle is 40 degrees and its supplement is 140 degrees
Answer:
s represents the shorter leg
3s - 9 represents the longer leg
2s + 1 represents the hypotenuse
(2s + 1)2 = s2 + (3s - 9)2 Pythagorean Theorem
4s2 + 4s + 1 = s2 + 9s2 - 54s + 81 square binomial
4s2 + 4s + 1 = 10s2 - 54s + 81 combine like terms
0 = 6s2 - 58s + 80 set to 0
0 =3s2 - 29s + 40 divide both sides by 2
0 = (3s - 5)(s - 8) FOIL
{5/3, 8}
5/3 is not feasible since 3(5/3) - 9 is negative.
-by-step explanation:
Answer:
6
Step-by-step explanation:
(8 - 5)!
We still follow PEMDAS
Parentheses first
3!
Then the factorial
3*2*1
6
If LMNO is a parallelogram:
6 x - 5 = 4 x + 17
6 x - 4 x = 17 + 5
2 x = 22
x = 22 : 2
x = 11
and:
5 y + 29 = y + 25
5 y - y = 25 - 29
4 y = -4
y = -4 : 4
y = -1