We know that
<span>An<span> exterior angle</span></span><span> is one that has its vertex at an outer point of the circumference
</span><span>The measure of the external angle is the semidifference of the arcs that it covers
</span>
so
∠NOP=(70-30)/2-----> 20°
the answer is
<span>∠NOP=20</span>°
Hello,
-2m^3+m²-m+1=(m+1)(-2m²+3m-4) +5
We must add -5 ; the remainder will be 5-5=0.
Answer:
134 degrees.
Step-by-step explanation:
This is a simple one.
The arc RS subtends an angle of 67 degrees on the circumference,
So the measure of the arc RS is 2 * 67 = 134 degrees.
Chuck travels at A) 30 mph
since chuck and dana travelled at the same amount of time (2 hours), dana travels at 26 mph, which is 4 mph less, and chuck travels at 30.
The formula for depreciation is:

Where x = Initial value,
y= Amount after depreciation.
r= Rate of depreciation,
t = time (in years)
According to given problem,
x = 1040, y= 944 and t = 12 months =1 year.
So, first step is to plug in these values in the above formula, So,

944 = 1040 (1 -r)
Divide each sides by 1040.
0.907692308 =1 - r
0.907692308 - 1 = -r Subtract 1 from each sides.
-0.092307692 = -r
So, r = 0.09 or 9%.
Now plug in 0.09 in the above equation to get the depreciation equation. So,

So, 
b) To find the value of the bike after 5 months,
plug in t = 5 months= 5/12 = 0.41667 years in the above equation of depreciation.
So, 
y = 1040 * 0.961465659
y = 999.9242852
y = 1000 (Rounded to nearest integer).
Hence, the value of the bike after 5 months is $1000.