Answer: (b)-175 ft
Step-by-step explanation:
In 
![\angle ACB=\angle ECD\quad [\text{vertically opposite angles}]\\\angle ABC=\angle CDE\quad [\text{Each angle is }90^{\circ}]\\\therefore \triangle ABC \sim\ \triangle CDE\quad [\text{by AA similarity criteria}]](https://tex.z-dn.net/?f=%5Cangle%20ACB%3D%5Cangle%20ECD%5Cquad%20%5B%5Ctext%7Bvertically%20opposite%20angles%7D%5D%5C%5C%5Cangle%20ABC%3D%5Cangle%20CDE%5Cquad%20%5B%5Ctext%7BEach%20angle%20is%20%7D90%5E%7B%5Ccirc%7D%5D%5C%5C%5Ctherefore%20%5Ctriangle%20ABC%20%5Csim%5C%20%5Ctriangle%20CDE%5Cquad%20%5B%5Ctext%7Bby%20AA%20similarity%20criteria%7D%5D)
(ii)for similar triangles, we can write

Answer:
The larger number is 40, and the smaller one is 23.
Step-by-step explanation:
Let x be the larger number.
Let x - 17 be the smaller number.
x + (x - 17) = 63
2x - 17 = 63
2x = 80
x = 40
Hence, the smaller number is 40 - 17 = 23.
Hope this helped!
1/6 also is 2/12. So, there is 9/12 of the pasta left.
Answer:
It should charge $48 for a five-pound package of salmon.
Step-by-step explanation:
Assume the variable cost per package is $30, and the fixed cost is $250,000.
We know the formula: Profit = Total revenue - Total cost.
Profit = 38000
Total revenue = P x Q (P= price, Q = quantity)
Total revenue = 16000P
Total cost = [Fixed cost + (variable cost x quantity)]
Variable cost = 30
Fixed cost = 250000
Putting all values in formula: (P x Q) - [FC + (VC x Q)]
Solving for P;
=>
=> 
Cancelling zeroes and dividing by 16 on both sides, we get;
P = $48
Hence, the company should charge $48 for a five pound package of salmon.
A=7+3 -> a=10
2a-14= 2×10-14
=20-14
=6