Points A, B, and C form a triangle. Complete the statements to prove that the sum of the interior angles of AABC is 180º. Statement
Reason
given
Points A, B, and C form a triangle.
Let DE be a line passing through Band parallel to AC
definition of parallel lines
23 25 and 21 - 24
mZ1 = m 24 and 23 = m 25
angle addition and definition of a straight line
m24+ m2 + m 25 = 180°
m21 + m2 + m23 = 180°
substitution

Statement: if two points are given, then exactly one line can be drawn through those two points. which geometry term does the statement represent? defined term postulate theorem undefined term

Agroup of students want to create a garden. they do not know the exact measurements but they propose using a variable to represent the length and width of the garden. the length of the garden is 10 feet longer than double the width. use a single variable to write algebraic expressions for both the length and width of the garden. write an algebraic expression for the area of the garden. use mathematical terms to describe this expression.

The input to the function is x and the output is y. write the function such that x can be a vector (use element-by-element operations). a) use the function to calculate y(-1.5) and y(5). b) use the function to make a plot of the function y(x) for -2 ≤ x ≤ 6.