5. Quadrilateral LMNP contains the points L(-5, -2), M(-1,-3), N(-2,-5), P(-4,-5). If the figure is translated 2 units right and 5 units up, what
would be the coordinate points of the new image?
A. L'(0,0), M'(4,-1), N'(3,-3), P (1,-3)
B. L'(-7,3), M'(-3,2), N'(-4,0), P (-6,0)
C. L'(-3,-7), M'(1,-8), N'(0,-10), P'(-2,10)
D. L'(-3,3), M'(1,2), N'(0,0), P'(-2,0)

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°

4a. is 3 miles every hour

4b. is 1/3 of an hour per mile

step-by-step explanation: