Hi boys can you me?

reggie currently has a square rug in his living room. he is moving soon and has determined that for his new living room, he will need a rug that has a width that is two feet shorter than his current rug and a length that is five feet longer than his current rug.

let x represents the side measure of reggie's current rug, in feet. determine the equation that represents the area, y, in square feet, of the rug needed for his new living room.

a.

y = x2 + 7x + 10

b.

y = x2 - 3x - 10

c.

y = x2 - 7x + 10

d.

y = x2 + 3x - 10

D.

Step-by-step explanation:

I am joyous to assist you anytime.

D.   y = x^2 + 3x - 10 feet.

Step-by-step explanation:

Length of the new rug = x+ 5 feet.

Width = x - 2 feet

Area = y = length * width

y = (x + 5)(x - 2) feet.

y = x^2 + 3x - 10 feet.

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°

1. sometimes

2. never true

3. sometimes

step-by-step explanation:

these are pretty self explanatory if you know what supp right and com angles are