1) 2m+6 / m² + 7m - 12 + (m+2)/(m+4)
= 2(m+3) / (m+4)(m+3) + (m+2)/(m+4)
= 2/(m+4) + (m+2)/(m+4)
= 2+m+2 / (m+4)
= m+4 / m+4
= 1 [ Option A ]
Answer 2) 3/ (x+4) + 7/ (x-3)
= 3(x-3) + 7(x+4)/ (x² +x - 12)
= 3x-9 + 7x + 28 / (x² +x - 12)
= 10x + 19 / (x² +x - 12) [ Option A ]
Hope this helps!
Answer:
Please require a picture pls
Step-by-step explanation:
Answer: Irrational
Step-by-step explanation:
-0.25 is irrational because it can be written as a terminating decimal.
Answer:
C. ∆LMN ~ ∆OPQ, because of AA
Step-by-step explanation:
All of the triangle congruence postulates require at least one pair of corresponding sides be congruent (in addition to other requirements). Triangle similarity can be proved if there are two pairs of congruent corresponding angles.
__
<h3>congruence</h3>
No sides are given as congruent, so no congruences can be proved.
<h3>similarity</h3>
Two pairs of corresponding angles are said to be congruent, so we can say ...
∆LMN ~ ∆OPQ, because of AA
Step-by-step explanation:
1.
36
2×18
2×9
3×3 therefore prime factorization is 2²×3²
2.
42
2×21
3×7 therefore prime factorization is 2×3×7
3.
48
3×16
2×8
2×4
2×2 therefore prime factorization is 2⁴×3
4.
27
3×9
3×9 therefore prime factorization is 3³
