Though these segments aren't marked congruent in the diagram, the two lines inside the circle making up the bases of the triangles are congruent as all radii are congruent. So the triangles are congruent by SAS.
The equation x² - 8x = 16 will equal to (x - 4)² = 32 so option (C) will be correct.
<h3> What is an expression?</h3>
An expression is a mathematical proof of the equality of two mathematical expressions.
Expressions are collections of variables, numbers, addition, subtraction, multiplication, and division.
A statement expressing the equality of two mathematical expressions is known as an equation.
Given,
x² - 8x = 16
x² - 8x - 16 = 0
Add and subtract 16 to the left-hand side
(x² - 8x +16) - 16 - 16 = 0
(x - 4)² - 32 = 0
(x - 4)² = 32
Hence the expression (x - 4)² = 32 will equal to x² - 8x = 16 .
To learn more about expression
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Step-by-step explanation:
The Symmetric Property states that for all real numbers x and y , if x=y , then y=x . Transitive Property. The Transitive Property states that for all real numbers x ,y, and z, if x=y and y=z , then x=z .