The model represents a polynomial and its factors. Which equation is represented by the model?
+x
O x2 - 2x - 3 = (x - 3)(x + 1)
O x2 - 4x + 3 = (x - 3)(x - 1)
O x2 + 2x + 3 = (x + 3)(x - 1)
O x2 + 4x - 3 = (x + 3)(x + 1)
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+x?
+X
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1. 3

2. 4

3. 1

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-wfz

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°