Draw the figure out and you will find that AB + BC = AC. Given this, put the equations together to form x+41+x+10=22. Solve to get x=-29/2
Answer:
P = 49°
R = 131°
Q = 114°
S = 66°
Step-by-step explanation:
in a quadrilateral inscribed in a circle, the opposite angles are always supplementary, meaning they add up to 150
we are given opposite angles P and R (S is not given so we can't use Q and S)
P+R = 180
5y+14 + 15y + 26 = 180
20y + 40 = 180
20y = 140
y = 7
so...
P = 5(7) + 14 = 35 + 14 = 49
R = 180-49 (since opposite angles in inscribed quadrilaterals are supplementary) = 131
Q = (7)^2 + 65 = 49 + 65 = 114
S = 180-114 = 66
Answer:
1089
Step-by-step explanation:
The original number is A0CD, We have that DC0A = 9 x A0CD.
If A =1, then D = 9 and we have:
9C01 = 9 x 10C9
In order for this expression to be true, the following must also be true:
(C x 9) + 8 must be divisible by 10, which means that C x 9 must end in a 2.
The only multiple of 9 (from 9 to 81) that ends in a 2 is 72.
72 = 9 x 8.
Therefore, C must be 8 and the original number is 1089. Multiply it by 9 to check the answer:
1089 x 9 = 9,081
Therefore, 1089 is correct.
Answer:
false
Step-by-step explanation: