The ratio of the perimeter of a square A and square B is 4:3. The side of square B is 3 m less than the side of square A. What is the length of the side of square A?
please answer

x = 12

Step-by-step explanation:

x = length of side of square A

'x-3' represents length of side of square B

Perimeter of square A = 4x

Perimeter of square A = 4x - 12

we can set up the following proportion based on ratio of 4:3

4x / 4 = 4x - 12 / 3

cross-multiply:

4(3x) = 4(4x-12)

12x = 16x - 48

-4x = -48

x = 12

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°

you ignore the remainder, therefore the answer is y = x+2

step-by-step explanation:

you have to divide the denominator by the numerator. you can use synthetic division or long division.

[-5] .     1 .     7 .     11

x + 2 + 1/x+5