This is an inscribed quadrilateral. The opposite angles are supplementary. They add to 180 degrees.
angleB + angleD = 180
93 + x+30 = 180
x+123 = 180
x+123 = 180-123
x = 57
Answer is choice C<span />
1) we calculate the portion of pool cleaned by Anita in a hour.
1 pool cleaned-----------------8 hour
x-----------------------------------1 hour
x=(1 pool cleaned * 1 hour) / 8 hour=1/8 portion cleaned.
2) we calculate the portion of pool cleaned by Chao in a hour.
1 pool cleaned-----------------6 hour
x-----------------------------------1 hour
x=(1 pool cleaned * 1 hour) / 6 hour=1/6 portion cleaned.
3) we can suggest this equation:
x=number of hour
x(1/8+1/6)=1
(number of hour)*(portion of pool cleaned by Anita in a hour + portion of pool cleaned by Chao in a hour)=1 pool cleaned.
4) we solve this equation:
x(1/8 + 1/6 )=1
1/8+1/6=(3+4)/24=7/24
least common multiple (8,6)=24
x(7/24)=1
x=(1*24)/7
x=24/7≈3.43 (3 hours, 25 minutes, 43 seconds)
Answer:together they cleaned the pool in 3 hours, 25 minutes and 43 seconds.
Answer:
x=-5
Step-by-step explanation:
x squared+10x+25 factors into (x+5)(x+5). Set x equal to 0 and you get x=-5. To check, plug in negative 5 and you get 25+ -50 + 25=0 which is true.
X = 25
a^2 + b^2 = c^2
19^2 +16^ = c^2
617 = c^2
(Square root 617)
x=24.83
x=25
Your missing exponent would be 3
