Answer:
A (0,3)
Step-by-step explanation:
The given trapezoid has vertices:
(0,6), (7,12), (7,9) and (0,12).
We want to choose from the given options, a point that is a vertex for the image produced by a dilation about the origin with a scale factor of 1/2.
Note that the mapping for such a dilation is:

This implies that:




Therefore correct choice is (0,3)
Answer:
B = 129
Step-by-step explanation:
Opposite angles of a parallelogram are equal (or congruent)
A and C are both 51.
All angles in a parallelogram equal 360
Take both the known angles and substract from 360, than divide by 2.
B = (360 - 51 - 51)/2
B = 129
Answer:

Step-by-step explanation:
<u>Similar Triangles</u>
By looking at the construction of the figure, we can safely assume both triangles are similar, i.e. their internal angles are equal and their sides are proportional. Following the proportion of the heights and bases of both triangles we can set this relationship:

Simplifying both fractions

Solving for x

Answer: x=−5
Step-by-step explanation:
8x+32=5x−3−4x
8x+32=x−3
8x+32−x=−3
7x+32=−3
7x=−3−32
7x=−35
x=- 35/7
x=−5
(-4,4) (3,-2)
formula for finding mid point is
M=(x1+x2/2,y1+y2/2)
m=-4+3/2,4-2/2
m=(-1/2,1)