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1 answer:
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Answer: scale factor = 1.5
Step-by-step explanation:
Given: Triangle ABC is a scaled copy of triangle DEF.
Side AB = 12 cm and is the longest side of ABC.
Side DE = 8 cm and is the longest side of DEF.
AB is corresponds DE (longest side of both triangles)
So,
Hence, the scale factor = 1.5.
Answer:
Value of x =20
Step-by-step explanation:
Given: EF = 9x+14 units , FG = 56 units and EG = 250 units.
Segment Addition Postulates states the following for 3 points that are collinear.
i.e, Let three points A, B and C are collinear and B is between A and C.
i,e AC = AB + BC
By Segment addition postulates; solve for x;
EG = EF + FG
Substitute the given values we get;
250 = 9x + 14 + 56
or
250 = 9x + 70
Subtract 70 on both sides we get;
250 -70 = 9x + 70 -70
Simplify:
180 = 9x
Divide both sides by 9 we get;
Simplify:
x = 20
Therefore, the value of x =20
