Help Please!! Line segment LM is dilated by a scale factor of to form L'M'. Point H, which lies on LM, is the center of dilation. If the slope of LM is 6, which of the following is true about L'M'?
A.
Line segment L'M' has a slope of 6 and does not pass through point H.
B.
Line segment L'M' has a slope of 2, and does not pass through point H.
C.
Line segment L'M' has a slope of 2, and passes through point H.
D.
Line segment L'M' has a slope of 6 and passes through point H.

Answer D.

Step-by-step explanation:

D.

Line segment L'M' has a slope of 6 and passes through point H.

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: median

step-by-step explanation:

the median is the middle value when a data set is ordered from least to greatest