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>
Answer:500
Step-by-step explanation:
462 rounded to nearest hundred is 500
Answer:
(-∞,7) U (7,∞)
Step-by-step explanation:
All real values of x such x ≠ 7
You need to calculate miles per gallon.
Number of miles is just the difference in the odometer:
----> 23,927 - 23,672 = 255
Number of gallons = 16.5
MPG = 255/16.5 = 15.5
<span>26 black cards of out 52
probability that a black card is chosen first = 26/52 = 1/2
</span>there are 13 heart
with replaced
The probability of then drawing a heart is 13/52 = 1/4 then
<span>the probability that a black card is chosen first and a heart is chosen second
= </span>(1/2)(1/4) = 1/8
answer
1/8