Answer:
Triangles ABE and CDE are congruent by AAS.
Step-by-step explanation:
AB ≅ DC (Opposite sides of a parallelogram are congruent.
m < AEB = m < DEC (Vertical angles).
m < ABE = m < EDC ( Alternate Interior angles).
So triangles ABE and CDE are congruent by AAS.
Answer:
![8-6i](https://tex.z-dn.net/?f=8-6i)
Step-by-step explanation:
Multiply out
in order to find out which expression it is equivalent to.
1) Since the whole quantity is squared, write it out as
.
![(3-i)^2\\(3-i)(3-i)](https://tex.z-dn.net/?f=%283-i%29%5E2%5C%5C%283-i%29%283-i%29)
2) Multiply binomials by using the FOIL method. Multiply the terms that are listed first in each binomial, then the ones that are listed outermost when looking at both binomials, then innermost, and finally the last terms listed in each binomial. Simplify and combine like terms.
![(3-i)(3-i)\\9 - 3i - 3i + i^2](https://tex.z-dn.net/?f=%283-i%29%283-i%29%5C%5C9%20-%203i%20-%203i%20%2B%20i%5E2)
![9 - 6i + i^2](https://tex.z-dn.net/?f=9%20-%206i%20%2B%20i%5E2)
3)
, so
must be
. Thus,
is equivalent to -1. Knowing this, simplify and combine like terms.
![9 - 6i + ((-\sqrt{1} )(\sqrt{-1} ))](https://tex.z-dn.net/?f=9%20-%206i%20%2B%20%28%28-%5Csqrt%7B1%7D%20%29%28%5Csqrt%7B-1%7D%20%29%29)
![9 - 6i -1\\8 - 6i](https://tex.z-dn.net/?f=9%20-%206i%20-1%5C%5C8%20-%206i)
Thus, it is equivalent to
.
Step-by-step explanation:
circumference of a circle
2×pi×r
area of a circle
pi×r²
r (radius) = diameter/2 = 1.5ft
we shall assume pi to be 3.14
circumference is
2×3.14×1.5 = 3.14×3 = 9.42 ft
area is
3.14 × 1.5² = 3.14×2.25 = 7.065 ft²
The first one is 25/9
And the second one is 25/36
Answer:
5
Step-by-step explanation:
The answer is 5
because 3 - 5 = -2
and -2 + 7 = 5
so the answer is 5