Let us observe the given figure,
When two lines intersect each other, the angles opposite to each other are Vertically Opposite Angles. Vertically opposite angles are always equal in measure.
As, we can observe that the given lines intersect each other, and they form vertically opposite angles as 
and 
Therefore, 
Substituting the given measures of the angles, we get
So, x = 
Since, the measure of angle POR = 
= 
= 
Therefore, the measure of angle POR is 49 degrees.
Answer:
19 28/33
Step-by-step explanation:
lets work out the whole number parts first:
= 19 + 17 - 16 = 20.
4/12 + 2/11 - 6/9
= 1/3 + 2/11 - 6/9
Find the LCM of the denominators:
3 = 3
11 = 11
9 = 3*3
- so the LCM is 3*3*11 = 99.
So we have:
33/99 + 18/99 - 66/99
= 51/99 - 66/99
= -15/99
= -5/33
So the answer is 20 - 5/33
= 19 28/33
You just had to subtract 5/33 from 20.
Answer:
82
Step-by-step explanation:
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Time=(distance)/(speed)
speed=55 mi/hr
Total distance=440 miles
Distance covered=275 miles
remaining distance=440-275=165 miles
Time taken to cover the remaining distance will be:
time=165/55=3 hours
Total time taken to travel=440/55=8 hours
if we are to use the equation given by:
55h+275=440
time taken will be found by solving for h, thus we shall have:
55h=440-275
55h=165
h=165/55
h=3 hours
Answer: 3 hours
total = 2372* (1+0.045)^20=
2372*1.045^20=
2372 * 2.411714025= 5720.585
she will have 5720.59 in 20 years
