Chaim tried to prove that AUTS ~ AUDE in the following figure, but his proof is wrong. E
D
41
т
37
S
What is the first mistake Chaim made in the proof?
Statement
Reason
1 ZSUT ZEUD Vertical angles are congruent.
2 ST | DE
Given
3 ZUST. ZUED Alternate interior angles formed by parallel lines are congruent (2).
AUTS AUDE Angle-angle similarity (1,3)
4
Choose 1 answer

Mary beth used the mapping rule to find the coordinates of a point that had been rotated 90° counterclockwise around the origin. examine the steps to determine whether she made an error. m (3, –6) is rotated 90° counterclockwise. (x, y) → (–y, x) 1. switch the x- and y-coordinates: (6, –3) 2. multiply the new x-coordinate by –1: (6(–1), –3) 3. simplify: (–6, –3) .

Segment ab is shown on the graph. which shows how to find the x-coordinate of the point that will divide ab into a 2: 3 ratio using the formula

(05.02)a farmer has decided to divide his land area in half in order to plant soy and corn. calculate the area of the entire area so he knows how much soil is needed. a parallelogram with a height of 6 yards and side length 9 yards. the height forms a triangle with the slanted side of the rhombus with a base of 2.5 yards. rhombus is split into a soy half and a corn half. each bag of soil covers 40 square yards. how many bags should the farmer purchase?