14. A cylinder has a radius of x + 2 and a height of x + 4. Which polynomial in standard form best describes the total volume of the cylinder? Use the formula V = nr2h for the volume of a cylinder.
15. A sphere has a radius of 2x + 3. Write the polynomial in standard form that best describes the total surface area of the sphere? Use the formula S = 4tr for surface area of a sphere.
16. A carpenter is putting a skylight in a roof. If the roof measures (10x + 9) by (7x + 7) and the skylight measures (x + 5) by (3x + 3), what is the area of the remaining roof after the skylight is built?

the answer is. -82562234434584

step-by-step explanation:

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°

let m = monomial

let t = trinomial

so, m times t = t.

monomial times a trinomial = another trinomial.

b

step-by-step explanation: