Two-fifths (
) of the square of the number j (j²)
j²
Lourdes is making a frame in the shape of a parallelogram. She adds diagonal braces to strengthen the frame. Parallelogram A B C
D is shown. Diagonals are drawn from point A to point C and from point D to point B and intersect at point E. The length of D E is (3 y + 6) centimeters, the length of E B is (5 y minus 10) centimeters, and the length of E C is (2 y + 4) centimeters. How long is the brace that connects points B and D? 8 cm 16 cm 30 cm 60 cm
2 answers:
Answer:
60 cm
Step-by-step explanation:
Parallelogram ABCD is shown in attached diagram. The diagonals of the parallelogram bisect each other, so
AE = EC
BE = ED
Ib DE = 3y + 6 cm, BE = 5y - 10 cm, then
Now, EC = 2y + 4, so
Since AE = EC, then AE = 20 cm
The brace that connects points B and D has the length
The brace that connects points A and C has the length
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