If ABCD is a parallelogram, which of the following statements must be true?

Mathematics

2 answers:

hoa [83]2 years ago

8 0

Answer: d. AB = CD and BC = AD

Step-by-step explanation:

We know that parallelogram is a quadrilateral with properties listed below:-

The opposite sides are congruent ( AB = CD and BC = AD ).
The opposite angels are congruent (∠A=∠C and ∠D=∠B).
The consecutive angles are supplementary (∠A + ∠D = 180°).
The diagonals of a parallelogram bisect each other.
If one angle is right, then all angles are right.

7nadin3 [17]2 years ago

3 0

D the opposing sides are equal but parallel

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aksik [14]

Correct Answer: First Option

Explanation:

There are two ways to find the actual roots:

a) Either solve the given quadratic equation to find the actual roots

b) Or substitute the value of Possible Rational Roots one by one to find out which satisfies the given equation.

Method a is more convenient and less time consuming, so I'll be solving the given equation by factorization to find its actual roots. To find the actual roots set the given equation equal to zero and solve for x as given below:

$2x^{2} +2x-24=0\\ \\ 2(x^{2} +x-12)=0\\ \\ x^{2} +x-12=0\\ \\ x^{2} +4x-3x-12=0\\ \\ x(x+4)-3(x+4)=0\\ \\ (x-3)(x+4)=0\\ \\ x-3=0, x=3\\ \\ or\\\\x+4=0, x=-4$