algebra 1
diamond problem

Form the diamond problem given above, the value of x is . This is resovled using the opposite angles theorem.
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.
Learn more about opposite angles:
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