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 next number in the sequence should be 333.111
Answer:
i can see it
Step-by-step explanation:
Answer: 18 units
Step-by-step explanation:since its is a horizontal line x2 - x1
7 -1 = 6
line 2:
since this is a vertical line y2 - y1
7 - 3 = 4
line 3:
since this is a horizontal line x2 - x1
7 - 4 = 3
line 4:
for this we need to use the distance formula which allows us to find the distance making a third point to form a right angle triangle
point 1: (1,3)
point 2: (4,7)
point 3 (new point) : (4,3)
now we can apply the pythogorean thereum (C squared = B squared + A squared) with the following lines.
line 1: (1,3) - (4,7)
line 2: (1,3) - (4,3)
line 3: (4,3) - (4,7)
line 1 squared = line2 squared + line 3 squared
calculate length of line 2 and 3
line 1 squared = (4 - 1) squared + (7 - 3) squared
line 1 squared = 3 squared + 4 squared
line 1 squared = 9 + 16
line 1 squared = 25
root both sides
line 1 = 5
add all the liens together
6 + 4 + 3 + 5 = 18
