Answer: The answer is x = 6 units.
Step-by-step explanation: Please refer to the attached diagram
The diagram in the question shows two triangles placed on each other and for convenience sake has been labelled ABDCE. Triangle ABC is a right angled triangle, and so is triangle ADE. From the marks on the lines, we can infer that line AD is equal in measurement to line DB. Also line AE is equal in measurement to line EC.
Therefore we can see the similarity in both triangles, if AD and AE equals DB and EC, then it follows that DE equals BC.
Hence if AD = DB and
AE = EC, and
DE = BC
Then, x - 3 = ½x
(½x can also be expressed as x/2)
x - 3 = x/2
By cross multiplication we now have
2(x - 3) = x
2x - 6 = x
By collecting like terms we now have
2x - x = 6
x = 6
Rachel needs 1776 inches of board
<em><u>Solution:</u></em>
Given that, Rachel is making a planter box
Her box measures 345 inches long and 543 inches wide
Length = 345 inches
Width = 543 inches
<em><u>To find: Inches of board she needs</u></em>
So we need to find the perimeter of the board
The board is usually of rectangular shape
<em><u>Perimeter of rectangle is given as:</u></em>
Perimeter = 2(length + width)
Perimeter = 2(345 + 543)
Perimeter = 2(888)
Perimeter = 1776
Thus she needs 1776 inches of board
Answer:
5 2/5 is the answer because 5 can go into 27 5 times
6 4/9, hope this helps tell me if you need and explanation
Not sure if this is for algebra but this is the algebraic solution.
1. 5x + 1y = 25 (x meaning number of nickels) (y meaning number of pennies)
so 3 solutions could be, 5 nickels and 0 pennies, 4 nickels and 5 pennies, 3 nickels and 10 pennies.
2. First calculate how many days till the end of October, (31-14)= 17 days. then add 30 days for the entire month of November. Then add the 5 days that occurred in December. This will leave you with a total of 52 days.
