Two similar triangles are shown below: Two triangles are shown. The sides of the triangle on the left are marked 4, 5, 6. The sides of the triangle on the right are marked as 3, 2, and 2.5. For the triangle on the left, the angle between sides marked 6 and 5 is labeled as p, marked by a double arc, and the angle between the sides marked 6 and 4 is labeled as q, marked by a single arc. The third angle is marked by a triple arc. For the triangle on the right, the angle between sides marked 2 and 3 is labeled as r and the angle between the sides marked 2.5 and 3 is labeled as s, marked by a double arc. The angle between the sides 2 and 2.5 is labeled as t, marked by a triple arc and it is also the angle on the top vertex of this triangle.
Which two sets of angles are corresponding angles? (4 points)

a
∠p and ∠r; ∠q and ∠s

b
∠p and ∠s; ∠q and ∠r

c
∠p and ∠t; ∠q and ∠s

d
∠p and ∠t; ∠q and ∠r

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

greater than one

step-by-step explanation:

answer: what are the answer choices?

step-by-step explanation: