B 5
E
4
Points A, B, and Cform a triangle. Complete the statements to prove that the sum of the interior angles of AABC is 180°.
Statement
Reason
Points A, B, and C form a triangle.
given
Let DE be a line passing through B and parallel to AC. definition of parallel lines
23 – 25 and 21 - 24
m21 = m 24 and 23 = m25
m24+ m2 2 + 25 = 180°
mZ1 + Z2 + m23 = 180°
angle addition and definition of a straight line
substitution

You are measuring the dimensions of the floor in your bedroom because you are planning to buy new carpet. which unit of measure is the most appropriate to use in this situation?

Ahypothesis is: a the average squared deviations about the mean of a distribution of values b) an empirically testable statement that is an unproven supposition developed in order to explain phenomena a statement that asserts the status quo; that is, any change from what has been c) thought to be true is due to random sampling order da statement that is the opposite of the null hypothesis e) the error made by rejecting the null hypothesis when it is true

Igure 1 and figure 2 are two congruent parallelograms drawn on a coordinate grid as shown below: 4 quadrant coordinate grid showing two parallelograms. figure 1 has vertices at negative 5, 2 and negative 3, 4 and negative 4, 7 and negative 6, 5. figure 2 has vertices at 5, negative 2 and 7, negative 4 and 6, negative 7 and 4, negative 5. which two transformations can map figure 1 onto figure 2? reflection across the y-axis, followed by reflection across x-axis reflection across the x-axis, followed by reflection across y-axis reflection across the x-axis, followed by translation 10 units right reflection across the y-axis, followed by translation 5 units down