Answer:
6z^2
Step-by-step explanation:
both of them are divisible by 6 with the smallest exponent being two
Answer:
the answer is 13.1 degrees celcius
Raj's conjecture is valid i.e an even number times an even or odd number will always be even.
Even numbers are number that can be divided by 2 without leaving a remainder. Examples are: 4, 6, 8, 20, 50 etc. While odd numbers can not be divided evenly by 2. Examples are: 7, 11, 17, etc
Thus, the conjecture can be proved as follows:
i. Even number times an even number
- 4 x 12 = 48
- 6 x 8 = 48
- 2 x 10 = 20
- 12 x 16 = 192
Thus, an even number multiplied by an even number would give an even number.
ii. Even number times an odd number
- 4 x 11 = 44
- 6 x 5 = 30
- 2 x 7 = 14
- 8 x 17 = 136
- Thus, an even number multiplied by an odd number would always give an even number.
Therefore, Raj's conjecture is valid.
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Answer:
Step-by-step explanation:
QM is the angle bisector of ∠LMP
∠LMQ = ∠QMP
QM is the angle bisector of ∠PQL
∠PQM = ∠MQL
MQ = QM as common
By ASA, triangle MQP ≅ MQL
LM = PM and LQ = PQ as they are same side of congruent triangles
Triangle LPQ and LPM are isosceles
By angle bisector theorem, LP is perpendicular to MQ
By properties of rhombus, the two diagonals are perpendicular proves that LMPQ is a rhombus.
LM ≅ PQ