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>
To find x:
use the formula: tan° = opposite/adjacent
tan 61° = x/10
answer: 18.0
other length:
use the formula: cos° = adjacent/hypo
cos 61° = 10/y
answer: 20.6
When you add a positive and a negative like you did here it basically is the same as subtracting 5 from 3
Answer:
★ The two factors of the number 221 are 13 and 17.
A factor refers to a whole number, which fits evenly into another whole number. Thus, factors are the numbers, which we multiply together to get another number. The two numbers that can be multiply together to get 221 are 13 and 17.
Step-by-step explanation:
Hope you have a great day :)
Answer
look up picture examples of convex or concave
Step-by-step explanation: