The two numbers would be 36 and 56
A.) Yes, by AA criterion.
Triangle ABE have these angles:
∠ABE = 45° ; ∠EAB = 63° ; missing ∠ is 72°
Triangle MNP have these angles:
∠MNP = 72° ; ∠NMP = 63°; missing ∠ is 45°
AA criterion is "angle,angle" criterion. It means that the two triangles have at least two of their angles equal. Since a triangle have a total of 180°, when two of their angles are equal, the 3rd angle is also equal.
As you can see, both triangles have 45°, 63°, and 72° measurement of angles. Thus, they are similar.
To determine the maximum height, h, from the given above. Differentiate the function and equate to zero. Then, determine the value of t. The value, when substituted to the original function, will give the maximum height. For this given,
dh(t)/dt = -32t + 128 = 0, t = 4
Substituting t = 4 to the original function gives 320. Thus, the maximum height is 320 units.
Answer: 6.25 cm
Step-by-step explanation:
Area of parallelogram 
Using base as AB and height as DE
Now, using base BC and height as DF
Equating area
Given inequality:
-5z+2>5
Solving for z.
Subtract 2 from both sides
-5z>3
Multiply both sides by -1 and reverse the inequality.
(-1 x -5z) < (-1 x 3)
5z<-3
Divide both sides by 5.
z<-3/5
Answer: z < -3/5
