According to the AA similarity theorem, the statement that must be true is: D. ∠Z ≅ ∠W and ∠X ≅ ∠U.
<h3>What is the AA Similarity Theorem?</h3>
The AA similarity theorem states that if two angles in one triangle is congruent to two corresponding angles in another triangle, then both triangles are similar.
For △ZYX ~ △WVU, any two pairs of corresponding angles must be congruent.
Therefore, the statement that must be true based on the AA similarity theorem is: D. ∠Z ≅ ∠W and ∠X ≅ ∠U.
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Answer:

Step-by-step explanation:
Since the cost for border paper is given in terms of feet and the dimensions of the gym are given in meters, we want to convert them to the same unit. Let's choose to convert feet to meters since that would be only one conversion:

Therefore, the cost of border paper is $6.99 pet 15 feet or $6.99 pet 4.572 meters.
Since the gym is rectangular, the gym's perimeter is equal to:

Therefore, the cost of the total border paper for the gym is equal to:

Answer:
g(x)=x3-2x2+5x+40g
Step-by-step explanation:
Answer:
Given : s||t
Exterior sides in opposite rays : ∠5 and ∠7 are supplementary
Definition of supplementary angles : m∠5 + m∠7 = 180°
If lines are ||, corresponding angles are equal : m∠1 = m∠5
Substitution : m∠1 + m∠7 = 180°