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
Answer:
0.5
Step-by-step explanation:
0.47058824
the 4 is in the tenths place
the 7 makes it turn to a 5
Answer: f⁻¹(x)=2x-6
Step-by-step explanation:
To find the inverse of an equation, you replace y with x and x with y. Then, you solve for y.
y=1/2x+3 [replace y with x and x with y]
x=1/2y+3 [subtract both sides by 3]
x-3=1/2y [multiply both sides by 2]
y=2(x-3) [distribute]
y=2x-6
Now, we know the inverse function is f⁻¹(x)=2x-6.
Answer:
10 weeks
Step-by-step explanation:
205+2t=195+3t
-2t -2t
205=195+t
-195 -195
10=t
