Answer:
A. The reflection preserves the side lengths and angles of triangle . The dilation preserves angles but not side lengths.
Step-by-step explanation:
Reflection is a rigid transformation. It preserves both angles and side lengths. Dilation preserves angles, but changes all lengths by the same scale factor.
<h3>Application</h3>
The described triangle was subject to reflection, which preserves angles and lengths. It was also subject to dilation, which preserves angles, but not lengths.
The appropriate description is that of choice A.
So the probability is the number of favorable outcomes divided by the number of total outcomes. This means that the favorable outcomes are 7/9, and the unfavorable outcomes are 2/9. The odds against the event are the unfavorable outcomes. Therefore the odds against the event is 2/9, or 0.2 repeating. Hope this helps. Feel free to ask more questions, and feel free to ask questions about my explanation.
9514 1404 393
Answer:
A: (3x +4)
B: (4x +5y) × (4x -5y)
Step-by-step explanation:
<u>Part A</u>:
Since we know the trinomial is a perfect square, we know the terms of each binomial factor are the square roots of the first and last terms of the trinomial.
9x² +24x +16 = (√(9x²) +√16)² = (3x +4)²
The side of the square is 3x+4.
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<u>Part B</u>:
The difference of squares is factored like this:
a²-b² = (a +b)(a -b)
The given area expression is the difference of squares with ...
a = 4x, b = 5y
so, the factorization is ...
16x² -25y² = (4x +5y)(4x -5y)
The dimensions of the rectangle are (4x+5y) by (4x-5y).
Answer:
Step-by-step explanation:
40*25= 1000
1000-50-264=686
