The area of a square is equal to s^2 where s is the length of one side.
49=s^2.
Root both sides to isolate the variable.
7=s
Final answer: 7 ft
The proof is given below. Please go through it.
Step-by-step explanation:
To solve Δ ABC ≅ Δ DBC
From Δ ABC and Δ DBC
AB = BD (given)
AC = CD (given)
BC is common side
By SSS condition Δ ABC ≅ Δ DBC ( proved)
To solve Δ EHF ≅ Δ GHF
Δ EHF and Δ GHF
EH = HG ( given)
∠ EFH = ∠ GFH ( each angle is 90°)
HF is common side
By RHS condition
Δ EHF ≅ Δ GHF
Formula for perimeter of a rectangle = 2(L + W)
let the number be x
width = 2x + 8
length = 3(2x + 8)
substitute respectively
96 = 2 (2x + 8 + 3(2x + 8)) open the bracket
96 = 2 ( 2x + 8 + 6x + 24) collect like terms
96 = 2 (8x + 32) open the bracket
96 = 16x + 64
collect like terms
96 - 64 = 16x
32 = 16x
divide both sides by 16
32/16 = 16x/16
2 = x
therefore, the width = 2x + 8 = 2(2) + 8 = 4 + 8 = 12.
and the length = 3(2x + 8) = 6x + 24 = 6(2) + 24 = 12 + 24 = 36.
When they have no solutions, the lines are parlaell, or they have the same slope but different y intercept
example
3x+2y=2 and
3x+2y=4 are paralell
also
y=3x+2 and
y=3x+4 are also parlell, no solutions
infinite solutions are when they are the same line
they have the same slope and y intercept
to find out, simplify
3x+2y=4 and
6x+4y=8 are smae lien
also
y=3x+2 and
2y=6x+4 aer the same line
1 solution is when it is none of the above things
a normal thing, where the slopes are differnet
example
y=2x+2
y=3x+2
