If x – 9 is a factor of x2 – 5x – 36, what is the other factor?

x – 4
x + 4
x – 6
x + 6

If x – 9 is a factor of x² – 5x – 36 than the other factor is x + 4 .

Step-by-step explanation:

As given the expression is given in the form be as follow .

x²– 5x – 36 = 0

Simplify the above equation

x² - 9x + 4x - 36 = 0

x (x - 9)+ 4 (x -9) = 0

(x - 9)(x + 4) = 0

Therefore the If x – 9 is a factor of x² – 5x – 36 than the other factor is x + 4 .

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°

answer: ♡♡♡♡♡♡♡♡♡♡

step-by-step explanation: