Simplify completely and find the restrictions on the variables. here are the answer choices~ a. quantity x minus 5 over quantity x plus 1, x ≠ −1, x ≠ −9 b. quantity x minus 5 over quantity x plus 1, x ≠ −1, x ≠ 5 c. quantity x plus 5 over quantity x plus 1, x ≠ −1, x ≠ −9 d. quantity x plus 5 over x plus 1, x ≠ −1, x ≠ 5

Step-by-step explanation:

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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°