In The figure below ABCD is a square points are chosen on each pair of the adjacent sides of ABCD to form four congruent and rig
ht angles as shown below each of these has one leg that is twice as long as the other leg what fraction of the area of square ABCD is shaded?
2 answers:
9514 1404 393
Answer:
5/9
Step-by-step explanation:
The area of one triangle is ...
A = 1/2(x)(2x) = x²
Then the area of the four triangles is ...
unshaded area = 4(x²)
The length of DC is 2x+x = 3x, so the area of ABCD is ...
total area = (3x)² = 9x²
Then the fraction that is shaded is ...
(9x² -4x²)/(9x²) = 5/9
5/9 of the area of ABCD is shaded.
Answer:
5/9 of the area is shaded.
Step-by-step explanation:
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Answer:
14m-n
Step-by-step explanation:
Combine Like Terms:
=8m + −4n + 6m + 3n
=(8m+6m) + (−4n+3n)
=14m+−n
X+y=12
8x+10y=102
8x+8y=96
8x+10y=102 _
-2y= -6
y=3
x+y=12
x=12- 3
x=9
or
8x+10y=102
8x+30=102
8x=102-30
8x=72
x=9
The answer is a=9 because 14 minus 5 equals 9.
Answer:
YOur answer would be -1/5.
Step-by-step explanation
rise/run
-4--5/-2-3
=-1/5
Answer: 3 is the answer
Step-by-step explanation:
