Answer the question below.
1 answer:
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Given:
The pair of expressions in the options.
To find:
The pair that shows equivalent expressions.
Solution:
We have,
By using distributive property, we get
So, option A is incorrect and option B is correct.
We have,
By using distributive property, we get
So, options C and D both are incorrect.
Therefore, the correct option is B.
In a parallelogram, the opposite angles will be congruent to each other.
In this parallelogram, angles B and C are congruent, and angles A and D are congruent.
We will work on angles B and C first. Set the two angles to equal each other:
Subtract 6 from both sides:
Subtract 6x from both sides:
Divide both sides by 6 to get x by itself:
x will equal 10.
Set angles A and D to equal each other:
Divide both sides by 3 to get y by itself:
y will equal 18.
The x and y values that make this quadrilateral a parallelogram will be x = 10, and y = 18.