Answer :
Form the diamond problem given above, the value of x is . This is resovled using the opposite angles theorem.
What is the process for arriving at the value of x?
To drive x, we must equate the two expressions ont he basis of the Opposite Angles Theorem.
A pair of diagonally opposed angles is always equal to one another. A vertical angle and its neighboring angle are also supplementary angles, meaning that they sum up to 180 degrees.
Thus,
19x² = 5x
To solve for x in the equation 19x² = 5x, we need to bring all the terms to one side and factor out x:
19x² - 5x = 0
x(19x - 5) = 0
This equation will be true if either x = 0 or 19x - 5 = 0.
If x = 0, then the equation is satisfied.
If 19x - 5 = 0, then:
19x = 5
x = 5/19
x = 0.26
Therefore, the solutions to the equation 19x² = 5x are x = 0 and x = 5/19.
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