Type an equation of the vertical line that passes through the point (-2, 5) X= _____
1 answer:
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Answer:
<u>Triangle ABC and triangle MNO</u> are congruent. A <u>Rotation</u> is a single rigid transformation that maps the two congruent triangles.
Step-by-step explanation:
ΔABC has vertices at A(12, 8), B(4,8), and C(4, 14).
- length of AB = √[(12-4)² + (8-8)²] = 8
- length of AC = √[(12-4)² + (8-14)²] = 10
- length of CB = √[(4-4)² + (8-14)²] = 6
ΔMNO has vertices at M(4, 16), N(4,8), and O(-2,8).
- length of MN = √[(4-4)² + (16-8)²] = 8
- length of MO = √[(4+2)² + (16-8)²] = 10
- length of NO = √[(4+2)² + (8-8)²] = 6
Therefore:
- AB ≅ MN
- AC ≅ MO
- CB ≅ NO
and ΔABC ≅ ΔMNO by SSS postulate.
In the picture attached, both triangles are shown. It can be seen that counterclockwise rotation of ΔABC around vertex B would map ΔABC into the ΔMNO.
Given:
Kelly spends 5 hours each week playing softball and 4 hours each week practicing her violin.
To find:
The ratio of hours spent practicing violin to hours spent playing softball three different ways.
Solution:
We have,
Time spend on Softball = 5 hours
Time spend on Violin = 4 hours
The ratio to hours spent practicing violin to hours spent playing softball is
It can be written as
Therefore, the ratio of hours spent practicing violin to hours spent playing softball three different ways are and 4 to 5.