Answer and Step-by-step explanation:
The cost of all the 6 magazines are: 6x
The cost of all the 9 newspapers are 9(x-3)
So, the total cost is the sum of all the items:
6x + 9(x-3) = 51
6x + 9x - 27 = 51
15x = 78
x = 5.2
Since the cost of one magazine is $x, the cost will be $5.20.
If your solvung for x the answer will be X= 6y
You need to work out the area so
Area of a rectangle is l x b
So
A= l x b
A= 8 x 4
A= 32
Therefor 32 cubic feet of dirt is needed
Explanation:
First we consider ΔABC and ΔBCD,
∠C=∠C (common)
∠B=∠D=
So, ΔABC ≈ ΔBCD (By AA similarity rule )
So by taking corresponding sides in ratios we get
Now
-------- Eqn (1)
Similarly,
We consider ΔABD and ΔABC
∠A=∠A (Commom)
∠B=∠D=
So,
ΔABD ≈ ΔABC (By AA similarity rule )
So by taking corresponding sides in ratios we get
Now,
--------Eqn (2)
By Adding both the equation we get
Hence, we proved the pythagorean theorem by using similarity of triangle.