First, Distribute the 4 to both terms
-4x + 16 = 12
Then, Subtract 16 from both sides of the equation
-4x = -4
Then, Divide both sides by -4
x = 1
Opposite sides of a rectangle are congruent
10 + 2x = 18
2x = 18 - 10
2x = 8
x = 8/2
x = 4
C. -3 is passed through through 2 different point meaning it’s a vertical linear equation. So y=-3
Answer:
see explanation
Step-by-step explanation:
(5)
Since ∠EBA = 90° then ∠ABD = 90° ( straight angle ) and
∠ABC + ∠CBD = ∠ABD, that is
2x + 3x - 10 = 90, simplifying
5x - 10 = 90 ( add 10 to both sides )
5x = 100 ( divide both sides by 5 )
x = 20, thus
∠ABC = 2x = 2 × 20 = 40°
∠CBD = 3x - 10 = (3 × 20) - 10 = 60 - 10 = 50°
(6)
4x - 18 = 3x + 7 ( vertical angles are congruent )
Subtract 3x from both sides
x - 18 = 7 ( add 18 to both sides )
x = 25
7y = 5y + 28 ( vertical angles are congruent )
Subtract 5y from both sides
2y = 28 ( divide both sides by 2 )
y = 14