How much would you need to deposit in an account now in order to have $5000 in the account in 10 years? Assume the account earns
1 answer:
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Answer:
Transitive property of equality is not a justification for the proof.
Step-by-step explanation:
We draw a right angle ΔACB. CD is perpendicular to AB.
Let AC = a , BC = b , AB = c and CD = h
Now in ΔABC and ΔACD
∠C = ∠D and ∠A = ∠A
from AA similarity postulate
ΔABC similar to ΔACD.
Hence,
=
= c × x ·····················(1)
Now in ΔABC and ΔCBD
∠C = ∠D and ∠B = ∠B
from AA similarity postulates
ΔABC similar to ΔCBD
Hence,
= c × y······················(2)
Add equation (1) and (2)
+
= cx + cy
+
= c(x+y)
+
=
[because x+y=c]
Transitive property is not useful for this proof.
Answer:
The perimeter of one of the trapezoids is equal to
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The perimeter of a square is
where
b is the length side of the square
step 1
Find the length side of the smaller square
step 2
Find the length side of the large square
step 3
Find the height of one trapezoid
The height is equal to
step 4
Remember that in this problem, one trapezoid is equal to one square plus two isosceles right triangles.
Find the hypotenuse of one isosceles right triangle
Applying Pythagoras Theorem
step 5
Find the perimeter of one of the trapezoid
The perimeter is equal to
