What is the relationship between a rotation and a reflection? Sketch a diagram that supports your explanation.
1 answer:
Answer with Step-by-step explanation:
Relationship between rotation and reflection:
In reflection, the pre-image gets flips across the same line.
whereas in rotation, the pre-image get spin around a point.
Rotations can be represented as two reflections i.e. the composition of reflections over two intersecting lines is always equal to rotation of that object.
In rotation, the object will get turned, this is turning some degree either clockwise or anti-clockwise.
Hence, rotation requires spinning and reflection requires flipping.
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Answer:
70°
Step-by-step explanation:
The total angle in a triangle is 180°. The total angle in a straight line is 180°. From the image attached, the ∠DCA must be greater than 45° because ∠BCA is greater than 90°. This means that ∠DCA is not 36° or 38° or 40° but it is 70°.
Therefore ∠DCA = 70°.
∠BCA + ∠DCA = 180° (angle on a straight line)
∠BCA = 180 - ∠DCA = 180 - 70 = 110°
∠BCA + ∠BAC + 40 = 180° (angle in a triangle)
∠BAC = 180 - 110 - 40 = 30°
Answer:
a) 910
b) 828100
c) 144320
Step-by-step explanation:
a. ∑y
This is the sum of all values of y. So
b. (∑y)^2
This is the square of the sum, so the square of 910, that we found in the previous item.
910² = 828100
c. ∑y^2
This is the sum of the squares of each amount spent. So