Write the number 2.7 x 10^-3
2 answers:
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Answer: The correct option is figure (1).
Explanation:
Reason for correct option:
The figure (1) shows the reflection across the side XY followed by reflection across the side YT.
When we reflect the triangle XYZ across the side XY we get the triangle XYT as shown in below figure.
After that we reflect the triangle XYT across the side YT and we get the triangle PYT.
Therefore, only figure 1 shows the triangle pairs can be mapped to each other using two reflections.
Reason for incorrect options:
The figure (2) shows the rotation of 180 degree along the point y.
The figure (3) shows the reflection across the side XY followed by the translation.
The figure (4) shows the reflection, followed by rotation , followed by translation.
For this case we propose a system of equations:
x: Let the variable representing the length of the longer piece
y: Let the variable representing the length of the shorter piece
According to the statement data we have:
Substituting the second equation into the first we have:
Thus, the shorter piece is 30 cm.
Thus, the longer piece is 70 cm.
Answer:
The longer piece is 70 centimeters.