Answer:

Step-by-step explanation:
8^2+5^2=c^2
64+25=c^2
89=c^2
c=
<-- this is the length of the rectangle at the bottom
2^2+(
)^2=c^2
4+89=c^2
c=
<-- length of dotted line (diagonal)

To be able to solve this question, we need to know about the Pythagorean theorem: a² + b² = c². A and b represents the two sides that make the right angle, and C represents the hypotenuse, or the longest side, of the triangle.

We know that the hypotenuse is the longest side of the triangle, so that means 9 is c. One side of the triangle is 6, and we have to solve for b. That means 6 is a. We can plug in our values to the formula like this:


Now that we have our equation down, we know what we have to do next: subtract 81 from 36 to get b².



I always start by moving the last term to the other side

To complete the square you take term 'b' , divide it by 2 then square it

= 25
We have to add 25 to what we have and what you do to one side you have to do to the other


Now we factor what is on the left side of the equation

The last step is to move our right side of the equation back over

- which is your answer :)))
Answer:

Step-by-step explanation:
Hi there!
Because we're given the vertex of the parabola, we can determine its equation in vertex form:
where the vertex is 
Plug in the vertex (0,0)

Now, we must solve for a. Plug in the given point (-2,3) and solve for a:

Therefore, the value of a is
. Plug this back into
:

I hope this helps!
Answer:
The correct option is;
C) AA Similarity Postulate
Step-by-step explanation:
The given parameters are;
BE║CD Given
∠A is congruent to ∠A Reflective property
∠ACD is congruent to ∠ABE Corresponding angles formed by parallel lines and a transversal
∠ADC is congruent to ∠AEB Corresponding angles formed by parallel lines and a transversal
ΔABE ~ ΔACD AA Similarity Postulate
When two angles of one triangle are equal to the corresponding two angles of another triangle, given that the third angle of both triangles are also equivalent based on sum of angles of a triangle postulate, the two triangles are said to be similar based on Angle-Angle (AA) Similarity Postulate.