Which is a factor of x2 - 9x + 14?
X-9
x-2
x + 5
X +7

ANSWER
x-2
b

(x - 2)

Step-by-step explanation:

Given

x² - 9x + 14

Consider the factors of the constant term (+ 14) which sum to give the coefficient of the x- term (- 9)

The factors are - 2 and - 7, since

- 2 × - 7 = + 14 and - 2 - 7 = - 9, thus

x² - 9x + 14 = (x - 2)(x - 7) ← in factored form

Thus (x - 2) is a factor of the expression

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°

idk

step-by-step explanation:

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