BE is a mid segment of triangle ACD and BD is parallel to AE. If AB = 4, AE = 5, CD = 6, the value of AD is:
1 answer:
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Answer:
AC = 6
Step-by-step explanation:
y is the dimension of the horizontal segment (see the attached image).
The hypotenuses are the same dimension, so:
(x+4)^2=(x/2)^2+y^2
(3x-8)^2=(x/2)^2+y^2
So,
(x+4)^2 = (3x-8)^2
x+4 = 3x-8
x-3x = -8-4
-2x = -12
x = 6
And x is the dimension of the segment AC.
Answer:
c=-5
d=1
Step-by-step explanation:
I'm going to reorder the left-hand side. Multiplication is commutative.
Since the bases are the same in and the operation is multiplication, I'm going to add the exponents giving me:
So this implies we have two equations to solve:
and
So the first equation can be solved by dividing both sides by 4 giving you .
The second equation can be solved by subtracting 2 on both sides giving you .