We can find m∠BCD like follows: m∠BCD=90°-45°=45<span>°
Now, m</span><span>∠DBC= 180°-(90°+45°)=45°
Remember that </span>

, so

We know that hypotenuse= BC= 3in and

=∠DBC)=45°, so replacing the values we get:

We can conclude that the segment CD is 2.12 in
Answer:
<h2>x = 3, y = 8</h2>
Step-by-step explanation:
We know:
The diagonals of the parallelogram are divided in half.
Therefore
EK ≅ KG and HK ≅ KF.
We have
EK = 7x + 5, KG = 3x + 17, HK = 3y - 11 and KF = y + 5
Equations:
(1) 7x + 5 = 3x + 17
(2) 3y - 11 = y + 5
Solutions:
(1)
7x + 5 = 3x + 17 <em>subtract 5 from both sides</em>
7x + 5 - 5 = 3x + 17 - 5
7x = 3x + 12 <em>subtract 3x from both sides</em>
7x - 3x = 3x - 3x + 12
4x = 12 <em>divide both sides by 4</em>
4x/4 = 12/4
x = 3
------------------------------
(2)
3y - 11 = y + 5 <em>add 11 to both sides</em>
3y - 11 + 11 = y + 5 + 11
3y = y + 16 <em>subtract y from both sides</em>
3y - y = y - y + 16
2y = 16 <em>divide both sides by 2</em>
2y/2 = 16/2
y = 8
We are given
first term is 1
so, 
each succeeding term is found by adding 3 to the one before it
so, common difference is

Since, this is arithematic sequence
so, we can use nth terms formula

now, we can plug values
and we get


................Answer
$3,650, because $32,000+$5500=$37,500 Then you do $37,500 minus $33,850=$3,650