The equation of a line of the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut-off point with the y axis
If two lines are parallel then their slopes are equal.
We have the following line:
Thus, the slope of the line is -5.
Therefore a parallel line is of the form:
We replace the point
Finally, the equation is of the form:
Answer:
The Golden Ratio is a mathematical relationship that exists
in art, shapes, nature and the human body. The golden ratio can be present in
your body, from the length of your arms and legs when compared to your torso.
Fingers is another example because the length of our fingers, each section from
the tip of the base to the wrist is larger than the preceding.
The measurement of the human navel to the floor and to the
top of the head to the navel is also the Golden ratio. Plastic surgeons and
dental surgeons use it to reconstruct the human face. It also appears in everything
around us like in the nature and science. It appears on in flower petals
because it is believed that each petal is placed to so that each petal gets the
best exposure to sunlight. Dolphins, starfish, sea urchins and honeybees also
exhibit the proportion like humans. DNA molecules measures 34 angstroms by 21
angstroms at each full cycle of the double helix spiral, these two number are
successive numbers. I think that the Golden Ratio is just a freak coincidence
that happened.
Answer:
7a........they are similar because none of the sides are equal
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
Step-by-step explanation:
x will be raised to the power of 1 if there's no power associatiated to it. Thus, you will have to flip the numbers to turn it into exponential form