Answer:
see explanation
Step-by-step explanation:
(a)
The opposite sides of a rectangle are congruent, hence
x + 1 = 5 ( subtract 1 from both sides )
x = 4
Or
x - 1 = 3 ( add 1 to both sides )
x = 4
(b)
The sum of the 3 angles in a triangle = 180°, hence
3y + 2y + y = 180
6y = 180 ( divide both sides by 6 )
y = 30
Answer:
1) 2/3
2) 1/2
3) 4/5
4) 3/4
Step-by-step explanation:
4/6 can be divided by 2 to get 2/3 in its simplest
2/4 can be divided by 2 to get 1/2 in its simplest
12/15 can be divided by 3 to get 4/5 in its simplest
6/8 can be divided by 2 to get 3/4 in its simplest
C is the best answer because it can’t be d
Answer:
x=8
Step-by-step explanation:
(2x + 1)² = x² + (2x - 1)² = x² + (2x - 1)(2x - 1)
(2x + 1)(2x + 1) = x² + 4x²-2x-2x+1
4x²+2x+2x+1 = 5x²-4x+1
4x²+4x+1 = 5x²-4x+1
0= 5x²-4x²-4x-4x+1-1
0= x²-8x
x²-8x=0
x²=8x
x=8
Answer:
72
Step-by-step explanation:
12 divided by 1/6 is 72.
Also 12 times 6 is 72, which is a shorter way to solve.