Answer:
A. △ABC ~ △DEC
B. ∠B ≅ ∠E
D. 3DE = 2AB
Step-by-step explanation:
Transformation includes modifying the shape or size of a figure, using techniques such as reflection, dilation, rotation, and translation.
In this scenario, triangle ABC undergoes reflection and dilation to create triangle DEC. Each side of triangle DEC measures two-thirds the length of its corresponding side in triangle ABC. Thus, the following statements about the triangles are true:
i. △ABC ~ △DEC
ii. ∠B ≅ ∠E
iii. 3DE = 2AB
1. The bathroom's length matches its width. FALSE. 2. The equation 2(x+6)=29 is valid for finding the bathroom length, x. TRUE. 3. The bathroom's length is reported as 11.5 feet. FALSE. 4. The equation 2x+6=29 can determine the bathroom length, x. FALSE. 5. The bathroom measures 8.5 feet in length. TRUE.
The correct inequality is 4 × x + 72 > 400. The Pine Bluff Middle School dance committee generated $72 from a fundraiser and earns $4 per ticket sold for the Spring Fling dance, which costs $400. Let x be the number of tickets sold. The total money raised by the committee amounts to 4 × x + 72. To ensure they have remaining funds after covering the costs of the dance, the inequality reflecting the number of tickets needed to sell is expressed as 4 × x + 72 > 400.
