Answer:
102993702420
Step-by-step explanation:
Step-by-step explanation:
b is per the identity of angles on parallel lines when intersected by one inclined line the same as the 40° angle.
so,
b = 40°
due to the parallel nature of the 2 lines there is a symmetry effect for such shapes inscribed a circle. the upper and the lower triangle must be similar. and when applying a vertical line through the central crossing point, everything to the left is mirrored by everything on the right.
so, angle c must be equal to angle b.
c = 40°
and as the sum of all angles in a triangle is always 180°, d is then
d = 180 - 40 - 40 = 100°
the interior angle of the arc angle a is the supplementary angle of d (together they are 180°), because together with d they cover the full down side of the top-left to bottom-right line.
interior angle to a = 180 - 100 = 80°
due to the symmetry again, the arc angle opposite to a is the same as a.
as we know, the interior angle to a pair of opposing arc angles is the mean value of the 2 angles.
so, we have
(a + a)/2 = 80
2a/2 = 80
a = 80°
there might (and actually should) be some more direct approaches for "a" out of the other pieces of information, but that was the most straight one right out of my mind, and I don't spend time on finding additional shortcuts, when I have already a working approach.
3^1=3
3^2=9
lets skip a couple and guess
3^10=59049 oops too high
3^6=729 good
3^7=2187 too high so
the answers are
3^1
3^2
3^3
3^4
3^5
3^6
Hi There!
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Problem #1:
At the dealership where she works, Sade fulfilled 3/10 of her quarterly sales goal in January and another 1/10 of her sales goal in February. What fraction of her quarterly sales goal had Sade reached by the end of February?
3/10 + 1/10 = 4/10
4/10 of her goal.
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Problem #2:
Shane has been monitoring his mileage. According to last week's driving log, he drove 1/10 of a mile in his car and 9/10 of a mile in his truck. How far did Shane drive last week in all?
1/10 + 9/10 = 10/10 = 1
Shane drove 1 mile.
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Problem #3:
For a class experiment, Vina's class weighed a log before and after subjecting it to termites. Before subjecting it to termites, the log weighed 7/10 of a pound. After the termites, the log weighed 3/10 of a pound. How much weight did the termites take from the log?
7/10 - 3/10 = 4/10
The termites took 4/10 pound away from the log.
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Hope This Helps :)
Answer:
70.06
Mean score = 70
Step-by-step explanation:
16% of students scored higher than 80 on a recent normally distributed exam the standard deviation is 10 what is the mean
For a normal distribution :
Zscore = (x - mean) / standard deviation
x = score
P(Z > 80) = 16% = 0.16 ; corresponding Zscore = 0.994 (Z probability calculator)
Therefore ;
0.994 = (80 - mean) / 10
0.994 * 10 = 80 - mean
9.94 = 80 - mean
Mean = 80 - 9.94
Mean = 70.06
Hence, the mean score = 70.06 = 70
