Answer:
Step-by-step explanation:
4). a). If the diagonals of a parallelogram are congruent, then it must be a RECTANGLE.
b). If the diagonals of a parallelogram are perpendicular, then it must be a SQUARE.
c). If the diagonals of a parallelogram bisect the angles of the parallelogram, then it must be a RHOMBUS.
d). If the diagonals of a parallelogram are perpendicular and congruent, then it must be a SQUARE.
e). If a parallelogram has four congruent sides, then it must be a SQUARE.
5). Given quadrilateral SELF is a rhombus.
a). All sides of a rhombus are equal,
Therefore, ES = EL = 25
b). Diagonals of a rhombus bisects the opposite angles,
Therefore, m∠ELS = m∠FLS
3x - 2 = 2x + 7
3x - 2x = 7 + 2
x = 9
c). Diagonals of the rhombus bisect the opposite angles, and adjacent angles are supplementary.
m∠ELF = 2(m∠ELS) = 2(2y - 9)
m∠LES = 2(m∠LEF) = 2(3y + 9)
And 2(2y - 9) + 2(3y + 9) = 180
(2y - 9) + (3y + 9) = 90
5y = 90
y = 18
124 inches of a frame is the required amount. 31 times 4 is 124.
Answer:
-116856.9
Step-by-step explanation:
f(x) = x^2 - 16 (x+4)(x-4)
----- ------------ = ---------------- = x-4 Please note: this is not true for x = -4, because
g(x) = x+4 x+4 of the div. by zero it causes.
Area of circle = pie x r^2
GIVEN: radius=22cm REQUIRED: Area = ?
SOLUTION: pie x 22^2 = 484piecm^2
Answer is OPTION D
