Answer:
<em><u>25</u></em><em><u>÷</u></em><em><u>8</u></em><em><u>×</u></em><em><u>9</u></em><em><u>+</u></em><em><u>14</u></em><em><u> </u></em><em><u>/</u></em><em><u>56</u></em><em><u>+</u></em><em><u>6</u></em><em><u> </u></em><em><u>(</u></em><em><u>8</u></em><em><u>×</u></em><em><u>8</u></em><em><u>)</u></em>
Answer:

Step-by-step explanation:
we know that
An exterior angle of a triangle is equal to the sum of the opposite interior angles.
see the attached figure to better understand the problem
so
∠DEF=∠ECD+∠CDE
substitute the given values

solve for x
Combine like terms

Group terms



Find the measure of angle CDE

substitute the value of x

3 3/4 inches = (3 3/4 / 12) feet = 0.3125 feet
120 feet requires ------- x number of board.
120 feet/0.3125 feet / board = 384 boards.
1 board costs 1.40
384 boards cost x
1.4 * 384.00= x*1 = x
537.60 dollars.
Note if you need to do this by dimensional analysis, it will look like this.
120 feet/fence [ 1 board / 3.75 inches] [ 12 inches/foot] [1.40 dollars / board]
All units that can be cancelled should be.
The result is 537.6 dollars / fence which is the answer you got.
A rate shows how much larger or smaller one box is to the other box.