What one do you need help with?
Answer: A, B, C, D
Step-by-step explanation:
A. This is true because all rhombi are parallelograms, and diagonals of a parallelogram bisect each other.
B. This is true because the diagonals of a rhombus are perpendicular.
C. This is true because diagonals of a rhombus bisect the angles from which they are drawn,
D. This is true because all sides of a rhombus are congfruent.
E. This is not always true - all rhombi are parallelograms, and adjacent angles of a parallelogram are supplementary, but not always congruent.
F. This is not always true - diagonals of a rhombus are not always congruent.
ANSWER: The length of the entire dash is 700 meters.
EXPLANATION:
Because 20% of the dash equals 140 meters, we can use a variable to figure out the length of the entire dash.
Let x be the length of the entire dash.
The length of the entire dash is 700 meters.
Answer/Step-by-step explanation:
Area of trapezium = ½*(AD + BC)*AB
Area = 42 cm²
AD = (x + 8) cm
BC = (x + 5) cm
AB = x cm
Plug in the values into the equation
42 = ½((x + 8) + (x + 5))*x
42 = ½((x + 8 + x + 5)*x
42 = ½(2x + 13)*x
Multiply both sides by 2
42*2 = (2x + 13)*x
84 = 2x² + 13x
2x² + 13x = 84
Subtract both sides by 84
2x² + 13x - 84 = 0
4x² + 3x + 5 = 0
x = <u>-3 +/- √(3² - 4(4)(5))</u>
2(4)
x = <u>-3 +/- √(9 - 80)</u>
8
x = <u>-3 +/- √(-71)
</u> 8<u>
</u>x = <u>-3 +/- √(71 × (-1))</u>
8
x = <u>-3 +/- √(71) × √(-1)
</u> 8<u>
</u>x = <u>-3 +/- 8.43i
</u> 8
x = -0.375 +/- 1.05375i
x = -0.375 + 1.05375i x = -0.375 - 1.05375i
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