Find the point on the line y=2x+3 that is closest to the origin.

A wire is attached to the top of a pole. The wire is 7 ft longer than the pole, and the distance from the wire to the bottom of the pole is 7 ft less than the height of the pole. Find the length of the wire and the height of the pole.

The length of the wire is ? ft, and the height of the pole is ? ft.

Proving Similarity in the figure DEFG is a square. Prove the following:
${\displaystyle \mathrm{△}ADG\sim \mathrm{△}FEB}$
Given:
The given figure is,

Given a rectangular card that is 5 inches long and 3 inches wide, what does it mean for another rectangular card to have the same shape?

Given that ${\displaystyle \mathrm{△}FGH}$ is similar to ${\displaystyle \mathrm{△}FED}$, Calculate DE to the hundedths place.

To evaluate: whether the triangles are similar, congruent or neither.
Given information:

Compare and contrast the Borda count method and the purality-with-elimination method. Identify at least one similarity and one difference. Use a specific example of voting preferences to illustrate your point.

To determine:To find:The height of the wall of the Warehouse.
Given:
The height of the eye of a person above the floor is ${\displaystyle 5\frac{1}{2}}$ ft and the distance between person and mirror is ${\displaystyle 2\frac{1}{2}}$ ft.