The length of each side of a square is
increased by 6 inches, so the perimeter
is now 36 inches. Write and solve an
equation to find the original length of
each side of the square.

Equation: 4x + 24 = 36

solution: x = 3

Step-by-step explanation:

let x be the length of the square’s side

this statement “The length of each side of a square is increased by 6 inches, so the perimeter is now 36 inches” means 4×(x + 6) = 36

4×(x + 6) = 36 ⇔ 4x + 24 = 36

                      ⇔ 4x = 12

                      ⇔ x = 3

225x²+4=0

225x²=0-4

225x²=-4

x²=-4/225

x=±√-4/225

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°