Factored form: (x-5)(7x+5) ☺
a. Dilation of 2nd equation by a factor of 12
b. The systems have the same solution, as dilations do not affect overall coordinates, changing side lengths but not angles
<em><u>The equation can be used to find the actual length of Gregory's room is:</u></em>

<em><u>Solution:</u></em>
Given that,
The scale that he uses is:
1 cm : 4 feet
On this drawing, the room is 3 cm long
Let "x" be the actual length of room
Therefore,
1 cm : 4 feet
3 cm : "x" feet
This forms a proportion. Therefore,

Therefore, Option C is correct
Given that,
Rob chose A as the correct answer. Which is,

But option A is wrong
So, Rob made a mistake in measuring the equivalent ratio, it should be 
Hello!
173 + 32 = 205
5 * 205 = 1025
The reasons would be:
alternate interior angles
vertical angles
AAA (all angles are congruent)
Since we know that the two line segments are parallel, this means that BC is a transversal. Using that knowledge with the position of ABE and DCE, we see these are alternate interior angles.
AEB and DEC are vertical angles, since they share only a vertex.
This gives us 3 congruent angles, so the triangles must be similar.