Answer:
x = -40
Step-by-step explanation:
First we distribute
5x + 35 + 2 = 4x - 4 + 1
Collect like terms
5x + 37 = 4x - 3
Subtract 37 from both sides
5x = 4x - 40
Subtract 4x from both sides
1x = -40 OR x = -40
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:
89 2 irrational roots
Step-by-step explanation:
The discriminant Is b²-4ac when the equation is in the form
ax²+bx+c so in the equation
a=2 b=5 and c=-8
plug into the equation for the discriminant
so 5²-4(2)(-8)
25-(-64) 2 negatives make a positive so
25+64=89
since 89 isn’t a perfect square 2 irrational roots
Answer:
h=0.344
Step-by-step explanation:
4.52-5h=2.8
Subtract 4.52 from both sides
-5h=-1.72
Divide -5 from both sides
h=0.344
