Triangles ABC and DEF may or may not be congruent, because the angle-angle-angle (AAA) postulate is not a criterion for congruency of any two triangles. This is because the angle-angle-angle postulate only incorporates the angles of the triangles, and the side lengths are not specified, so congruency may or may not be true for these triangles.
Answer:
B. 
Step-by-step explanation:
The given quadratic trinomial is;

Comparing this to
, we have a=5,b=17,c=6.

Two factors of 30 that add up to 17 is 15 and 2.
We split the middle term to obtain;

We factor by grouping;

Factor further

The correct answer is B.
Answer:
D.) (14, 0); the time it takes for the bird to reach the ground
Step-by-step explanation:
The attached graph shows a plot of the table values and the two offered solution options.
The dependent variable in this scenario is the bird's height above the ground. When that is zero, the bird is on the ground. This fact makes choices B and C seem ridiculous.
We note from the table and graph that the bird is on a path that decreases in height by 3 feet every 2 seconds. If the bird continues that rate of descent, it will reach the ground after 14 seconds.
That is, its (time, height) pair will be (14, 0), matching choice D.
_____
Choosing any answer to this question requires making assumptions that are inconsistent with real-world bird behavior. At least, the problem statement should say what assumptions are applicable.
Answer:
Step-by-step explanation:
Length = L.
Width = 2L-3.
A = L * W = 170.
L * (2L-3) = 170.
2L^2 - 3L - 170 = 0,
L = (-B +- Sqrt(B^2-4AC))/2A.
L = (3 +- Sqrt(9 + 1360))/4,
L = (3 +- 37)/4 = 0.75 +- 9.25 = 10, and -8.5. In.
Use positive value: L = 10 In.
The length and width of the rectangle are: 
<h3>What is the area of the rectangle?</h3>
The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
The area of a rectangle is represented by the expression
.
The area of the rectangle = 
= 
So, the length and width of the rectangle are: 
Learn more about the area;
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