Answer:
Far less diverse. A prime driver of speciation the development of new species from existing ones is geographical isolation, which leads to the evolution of new traits by subjecting creatures to different selective pressures.
Answer: artistry
Explanation:
Artistry is simply referred to as the creative skill that an actor, writer, artist, or a musician possesses.
Artistry is the performers musical and expressive involvement in the music. It depicts the emotion of the artist and shows the message that he or she is trying to pass across to the listener.
The answer is C. I hope this is helpful!
- Aiden :)
Answer:
B. SAS Similarity
Explanation:
AB corresponds to DE,
DE/AB = 8/4 = 2
AC corresponds to DF,
DF/AC = 10/5 = 2
This shows that 2 sides (DE and DF) of ∆DEF are proportional to two sides (AB and AC) of ∆DEF.
Also, <A is an included angle of ∆ABC, while <D is an included angle of ∆DEF.
<A and <E are stated to be congruent to each other.
Since two sides in ∆ABC are proportional to two sides in ∆DEF, and also, since the included angle in both ∆s are congruent to each other, therefore, based on the SAS Similarity Theorem, we can prove that ∆ABC ~ ∆DEF.
Part A:
Side 1 + side 2 + side 3 = 11z2 - 4z +2 - 2z + 3 + 12z2 + 3 - 3z + 13z2
= 11z2 + 12z2 + 13z2 - 4z - 2z - 3z + 2 + 3 + 3
= 36z2 - 9z + 8
Part B:
The parameter of the trapezoid is the summation of the lengths of its four sides, thus:
Side 4 = Parameter - (side 1 + side 2 + side 3)
= Parameter - output of part A
= 5z3 + 40z2 + 7z - 15 - (36z2 - 9z +8)
= 5z3 + 40z2 - 36z2 + 7z + 9z - 15 - 8
= 5z3 + 4z2 + 16z - 23
Part C:
For a polynomial to be closed under addition and subtraction operations, the performance of these operations on the polynomial should give a new polynomial.
Since the addition in Part A and the subtraction in Part B both resulted in new polynomials, thus, the answers of these two parts show that polynomials are closed under addition and subtraction.