Answer:
<1 = <8
Step-by-step explanation:
An angle that will form a pair of alternate exterior angles with <1 will be the angle that is found outside of the parallel lines but on the opposite side of the transversal that cuts across the two parallel lines.
<8 is an exterior angle, and also is alternate angle to <1. It forms a pair of alternate exterior angles pair with <1.
Therefore, <1 = <8
a) Is the twitch - initial positive twitch or sudden movement, which is what
makes the car jolt into action.
b) is the acceleration - graph shows the acceleration and
deceleration of the car.
c) is the velocity - starts at 0 and increases until the car
travels at its right speed.
d) is the position - assuming that the car is going on only
one direction. This graph is the only one that does not go back to the x-axis.
You could easily find the outcome of each point then add them up for the MNK
Answer:
D is the similar triangle
Step-by-step explanation:
A quick solution to this problem is using the hypotenuse.
You know that sin(A) is 1/4 and sin is opposite / hypotenuse, so the hypotenuse should be a multiple of 4 in order for the fraction to reduce to 1/4. (it might not be, but I usually do this to see if there's a quick solution)
Using this trick, you find that the only triangle with a hypotenuse that is a multiple of 4 is the last triangle. Now simply double check the other trig. functions to check whether it truly is the same.
To check each trig function, you must first determine the corresponding angle to angle A. Again, for simplicities sake, let's use 1/4 as a determiner for the angle. The only combination of sides divided by hypotenuse that simplifies to 1/4 is 6/24. Therefore 6 must be opposite to the angle, since it's sin(a) = 1/4 and sin is opposite / hypotenuse. So the angle is X.
Now check for both cos and tan
Cos(x) = 6(15)^0.5 / 24 = (15)^0.5 / 4 CHECKS OUT
Tan(x) = 6 / 6(15)^0.5 = 1 / (15)^0.5 CHECKS OUT
Since everything checks out, then answer D is truly correct.
