The height of a hill, h(x), in a painting can be written as a function of x, the distance from the left side of the painting. both h(x) and x are measured in inches.

h(x) = (x)(x – 13)

what is the height of the hill in the painting 3 inches from the left side of the picture?

inches

For this case we have the following function:

To answer the question, we must calculate the value of h (x) when x equals 3.

We then have to substitute values:

Rewriting the equation we have:

The height of the hill in the painting 3 inches from the left side of the picture is:

Note: The value of the function is negative. It is recommended to review the function again. The result must be positive.

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°