Answer:
∠A = 70°, ∠B = 50°, and ∠C = 60°.
Step-by-step explanation:
In a triangle ΔABC, ∠A + ∠B + ∠C = 180° ......... (1), we know from the property of triangle.
Now, the sum of ∠C and the exterior angle adjacent to ∠C is 180°.
If the exterior angle adjacent to ∠C is 120°, then ∠C = 180° - 120° = 60°.
Now, from equation (1), ∠A + ∠B = 180° - ∠C = 180° - 60° = 120° ......... (2)
Now, given that ∠A = 2x and ∠B = x + 15.
Hence, from equation (2), we have, 2x + x + 15 = 120
⇒ 3x = 105
⇒ x = 35.
Therefore, ∠A = 2x = 2 × 35 = 70°
∠B = x + 15 = 35 + 15 = 50°
and ∠C = 60° (Answer)
It would be 14, because the lines in the middle represent equality. So the long line with 1 tic mark (that's what u call the lines in the middle) means that all of the lines with 1 tic mark are equal. Same goes with the line with 2 tic marks. Hope I helped! :)
Answer:
the probability that five randomly selected students will have a mean score that is greater than the mean achieved by the students = 0.0096
Step-by-step explanation:
From the five randomly selected students ; 160, 175, 163, 149, 153
mean average of the students = 160+175+163+149+153/5
= mean = x-bar = 800/5
mean x-bar = 160
from probability distribution, P(x-bar > 160) = P[ x-bar - miu / SD > 160 -150.8 /3.94]
P( Z>2.34) = from normal Z-distribution table
= 0.0096419
= 0.0096
hence the probability that five randomly selected students will have a mean score that is greater than the mean achieved by the students = 0.0096
where SD = standard deviation = 3.94 and Miu = 150.8
Answer:
0.032
Step-by-step explanation:
The drag force is described as the force experienced by an object due to movement through a liquid. In this case it is water. The equation used for drag force F is:
the density of water is p=1000 kg/m³. We know that F=0.5 N.
The speed is 0.032 m/s
