For any inscribed quadrilateral, the opposite angles add to 180
(angle PMN) + (angle NOP) = 180
(8x-24) + (4x) = 180
12x-24 = 180
12x-24+24 = 180+24 ..... add 24 to both sides
12x = 204
12x/12 = 204/12 ..... divide both sides by 12
x = 17
angle NOP = 4x
angle NOP = 4*17
<h3>
angle NOP = 68 degrees</h3>
Your answer is: 128 pi.
pi x 4^2 x 8
pi x r ^2 x h
9514 1404 393
Answer:
- garden: 8 years
- tree: 120 years
Step-by-step explanation:
Let g represent the age of the garden. Then the age of the tree is 15g. The sum of their ages is ...
g +15g = 128
16g = 128 . . . . . collect terms
g = 128/16 = 8 . . . . divide by the coefficient of g
The garden is 8 years old; the tree is 120 years old.
