exam Maths Puzzle Numerical Ability

True or false and why?

A parallelogram whose diagonals are congruent and perpendicular is a rhombus.

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exam Other Question

{3x-y=7
{9x-3y=21
Slove each system of equation using matrices. If the system has no solution, say that it is inconsistent. How many liters of a 10% alcohol solution must be mixed with 70 liters of a 90% solution to get a 30% solution?

Thanks in advance for your help!