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Answer:
EF / LM = 1 / 4
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, dilation and rotation.
Dilation is the enlargement or reduction in the size of a figure. If a point A(x, y) is dilated by a scale factor of k, the new point is at A'(kx, ky).
Translation is the movement of a point right, left, up or down. If a point A(x, y) is translated a units left and b units down, the new point is at A'(x - a, y - b).
Translation preserves the size and shape of an object. Dilation preserves the shape but not the size.
Cdef maps to jklm with the transformation (x,y) to (4x,4y) to (x-4,y-9).
CDEF was first dilated by a scale factor of 4 to get (4x,4y) before it was translated by (x-4,y-9). Since dilation changes the size of the figure, hence JKLM would be 4 times the size of CDEF. Therefore:
LM / EF = 4
EF / LM = 1 / 4
Answer:
720 miles
Step-by-step explanation:
We are given a distance and a fraction of the total that it represents. This lets us write the relation ...
252 = 0.35D . . . . . . where D is the total distance traveled
252/0.35 = D = 720 . . . . divide by the coefficient of D
The Hernandez family traveled 720 miles during their vacation.
Answer:
34.5 hours as carpenter or 27.6 hours for blacksmith (Not sure about this sorry)
Step-by-step explanation:
690 ÷ 20 and 690 ÷ 25
Given:
4 1/7 * 3 3/5
4 1/7 = (4*7)+1/7 = 29/7
3 3/5 = (3*5)+3/5 = 18/5
29/7 * 18/5 = 29 * 18 / 7 * 5 = 522 / 35 = 14.91
Simplified expression.
4 x 3 1/2
3 1/2 = (3*2)+1/2 = 7/2
4 * 7/2 = 4*7 / 2 = 28 / 2 = 14
It is a close estimate. Actual: 14.91 vs Estimate: 14
