The answer is III only, or D.
We can start to solve this by knowing what the HL theorem means. The HL theorem, like its name implies, shows says that if a hypotenuse and leg of a triangle are congruent to the hypotenuse and leg of a different triangle, then the triangles are congruent. The only triangle that we see a hypotenuse congruent in is in figure III. In figure II, those congruent sides are both legs while in figure I we just see 2 congruent angles. Now in figure III, we can also see that two legs are congruent because of the reflexive property. That means that the answer is III, or D.
Answer:
If 
is the transformed function, then the parent function 
has been shifted up vertically by 4 units and horizontally right by 2 units
Step-by-step explanation:
Assume the function is 
is the parent function.
A vertical shift,b units up will transform the function to 
.
A horizontal shift 
units.
For instance, if , b=4, and a=2 units.
Then the transformed function becomes:
Answer: B
how close their measurements are to each other
Step-by-step explanation:
The students in a science class did not know the length of the board before taking turns to measure the length of a certain board.
The characteristic of their measurements that best indicates
their accuracy will be how close their measurements are to each other.
If the actual length is known before the carry out the measurements, there average value will be neccessarily to determine their accuracy.
Therefore, option B is the best option.
Answer:
Step-by-step explanation:
The position function is
and if we are looking for the time t it takes for the ball to hit the ground, we are looking for the height of the ball when it is on the ground. Of course the height of anything on the ground is 0, so if we set s(t) = 0 and solve for t, we will find our answer.
and factor that however you are currently factoring in class to get that
t = -.71428 seconds or
t = 1.42857 seconds (neither one of those is rational so they can't be expressed as fractions).
We all know that time will never be a negative value, so the time it takes this ball to hit the ground is
1.42857 seconds (round how you need to).
