Answer:
Ratio of triangle AMN to square ABCD = 1/8
Step-by-step explanation:
area AMN = Area ABN - Area MNB
Where AB = BC = x
Area AMN = [ ½ *( x * ½x )] - [ ½( ½x * ½x)] = x²/8
Area of ABCD = x* x = x²
So therefore:
The ratio of area of triangle AMN to area of square ABCD would be
= (x²/8) / x²
=1/8
Answer:
W'' = (2, -3)
Step-by-step explanation:
Reflection over the x-axis changes the sign of the y-coordinate.
So, point W' is (-2, -3).
Reflection over the y-axis changes the sign of the x-coordinate.
So, point W'' is (2, -3).
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The answer can be determined by doing the reflections algebraically, as above, or by doing them on a graph, as below.
Answer:
A net is a two-dimensional figure that can be folded into a three-dimensional object
Step-by-step explanation:
Philip is 5 years old and Jon is 19 years old now.
Step-by-step explanation:
Step 1 :
Let x be the age of Philip Now
Since Jon is 14 years older than Philip,
Age of Jon = 14 + x
Step 2 :
After 2 years,
Age of Philip = x+ 2
Age of Jon = 14+x+2 = 16+x
Step 3 :
Given that in 2 years, Jon will be 3 times as old as Philip.
So we have 16 + x =3(x+2)
=> 16 + x = 3x +6
=> 2x = 10 = x = 5
Hence age of Philip is 5 years
Age of jon = x + 14 = 5+ 14 =19 years