Let g(x) be the transformation of f(x) = |x| so that the vertex is at (1, −3). Identify the rule for g(x) and its graph. g(x) = |x + 1| − 3

g(x) = |x + 1| − 3

g(x) = |x − 1| − 3

g(x) = |x − 1| − 3

answer: for each 3 girls there is 2 boys . 3: 2

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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°

you can't solve x because it is 2 linear equation and you only have one equation