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
The scale factor from the small one to the big one is 3
Answer:
5 percent per annum
Step-by-step explanation:
interest rate:
interest: $1800
principal: $18000
duration: 2 years
1800/ 18000 * 100
result is 10%
Since interest is 10% in 2 years, 10% / 2
interest is 5% per year.
Answer:
Step-by-step explanation:
90/2 is proportional to 45
Answer:
2*2*3*5
Step-by-step explanation:
We need to factor 60 until it is prime numbers
60 = 12*5 5 is prime 12 is not
=3*4 *5 3,5 prime 4 is not
= 3 *2*2 *5 2,3,5 are prime
Rearranging the order
=2*2*3*5