Answer:
3.
Distances between two parallel lines 
4.
=
: Reason; Corresponding part of ΔACB and ΔDCE
C is the midpoint of
: Reason;
=
: Definition of midpoint
Step-by-step explanation:
3. A parallelogram is defined as a quadrilateral with two opposite sides equal and parallel and having equal opposite interior angles
MNOP is a parallelogram: Reason; Given
: Reason; Opposite sides of a parallelogram
∠NOM ≅ ∠OMP: Reason Alternate interior angles
: Reason; Opposite sides of a parallelogram
∠NMO ≅ ∠MOP: Reason Alternate interior angles
Distances between two parallel lines 
4.
: Reason; Given
∠EAB ≅ ∠AED: Reason; Alternate int. ∠s Thm
∠ABC ≅ ∠EDB : Reason; Alternate int. ∠s Thm
C is the midpoint of
: Reason; Given
=
: Reason; Definition of midpoint
Therefore, ΔACB ≅ ΔDCE: Reason Angle Angle Side (AAS) Theorem
=
: Reason; Corresponding part of ΔACB and ΔDCE
C is the midpoint of
: Reason; Definition of midpoint
Answer:

Step-by-step explanation:
Given a geometric sequence, the nth term of the geometric sequence is obtained by using the formula:

If the eleventh term, 
and the common ratio, r=-2.
Then:

The explicit formula for the sequence is:

Answer:
The height of the arch at its center is 250/9 or about 27.78 feet.
Step-by-step explanation:
We can write an equation to model the parabolic arch.
Let the left-most point of the arch be the origin (0, 0).
Since the bridge has a span of 100 feet, the right-most point must be (0, 100).
We can use the factored form of a quadratic:

Where <em>p</em> and <em>q</em> are the <em>x-</em>intercepts.
Our <em>x-</em>intercepts are <em>x </em>= 0 and <em>x </em>= 100. Hence:

At a point 40 feet from the center, the height of the arch is 10 feet.
The center is <em>x</em> = 50. So, a point 40 feet from the center can be either <em>x</em> = 10 or <em>x</em> = 90.
So, for instance, when <em>x</em> = 10, <em>y</em> = 10. Substitute and solve for <em>a: </em>
<em />
<em />
So:

The same value will result if we let <em>x</em> = 90 and <em>y</em> = 10.
Hence, our equation is:

The height of the arch at its center will be when <em>x</em> = 50. Hence:

Answer:5/6
Step-by-step explanation:
Answer:
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Step-by-step explanation: