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:
23.7m
Step-by-step explanation:
Given parameters:
Time taken = 2.2s
Acceleration due to gravity = 10m/s
Unknown:
Depth of the well = ?
Solution:
To solve this problem, we simply apply one of the motion equations;
S = ut + gt²
where S = depth of the well
u = initial velocity
t = time taken
g = acceleration due to gravity
Input the parameters and solve for S;
Note initial velocity = 0;
S = x 9.8 x 2.2²
S = 23.7m
Answer:
a squared+ 5a
Step-by-step explanation:
a(a+5)
multiply everything inside the bracket
a times a is a squared
a times 5 is 5a
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It is equal to 0..... it is
Step-by-step explanation:
yes
Answer:
The margin of error is multiplied by
Step-by-step explanation:
margin of error (ME) from the mean can be calculated using the formula
ME= where
- z is the corresponding statistic of the given confidence level
- s is the standard deviation of the sample (or of the population if it is known)
Since margin of error is proportional with inverse of ,
if we cut the sample size in half, the margin of error is multiplied by .