Answer:
B
C
F
D
H
A
G
E
Step-by-step explanation:
Ok. They are trying to reconstruct the smaller looking triangle in the bigger triangle using angle A as the common angle.
The first statement is always the given.
Second they constructed line segment XY into the bigger triangle so that XY is parallel to BC.
Third, from the construction of the parallel lines we can now find corresponding angles that are congruent. This would be the use of F.
Since we have all three angles in triangle AXY and triangle ABC, then the construction of the smaller triangle we made inside the bigger triangle is similar to the bigger triangle. So we have the triangles are similar. You could say E or D here in my opinion. This is choice D.
Fifth the creation of those fractions of sides being equal comes from us knowing the corresponding sides of similar triangles are proportional. This is choice H.
Things looked cut off for the sixth thing so I can't fully read it, but it is possible a substitution has occured.
The seventh thing is a congruence statement which can be proven by a congruence postulate. The only one listed is SAS. So that is G.
The last thing, since the triangle construction is congruent to the smaller triangle then we know the smaller triangle is also similar to the bigger triangle since the bigger one is also similar to the construction we made. I really think E and D is interchangeable. Choice E goes here.
Answer:
The graph is constant in the interval [4,6]
Step-by-step explanation:
We are given that,
Taylor dropped a rubber ball from a height of 8 feet.
So, at time t= 0 sec, the ball is being thrown.
Now, the next events follows as below:
1. After a second, the ball hits the ground.
2. It bounces up to 5 feet in the next second.
3. The ball again hits the ground in the next second.
4. Now, the ball again jumps up to height 2.5 feet, when Taylor holds the ball for 2 seconds more.
So, we get the figure given below, we see that,
The graph is constant in the interval [4,6].
Option (b) is your correct answer.
Step-by-step explanation:

Given Trigonometric expression is

So, on rationalizing the denominator, we get

We know,

So, using this, we get

We know,

So, using this identity, we get


<u>Hence, </u>

A thrift is a kind of bank that arranges mortgages (mostly for home ownership) and sets up accounts to receive deposits.
The statement is actually false. The difference is in who they can borrow from and whether or not they are set up for profit. Thrifts are usually non profit.