Coordinates of a Pre-image
The segments shown are dilations of each other about
the origin. Which statement could be true?
O
The coordinate (1, 0) is from a dilation using the
scale factor of
O
(1,0)
(5,0)
O
The coordinate (5,0) is from a dilation using the
scale factor of 4.
The coordinate (1, 0) is from a dilation using the
scale factor of 5.
The coordinate (5,0) is from a dilation using the
scale factor of
O

The coordinate (1, 0) is from a dilation using the scale factor of One-fifth.

Step-by-step explanation:

this answer would be A. The coordinate (1, 0) is from a dilation using the scale factor of One-fifth.

hope this helps

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°