Given that <span>DG, EG, and FG are perpendicular bisectors of the sides of △ABC, this means that the point of intersection, G, is the circumcenter of the triangle and hence A</span><span>G, BG, and CG are equal.
Given that </span><span>DG = 5 cm and BD = 12 cm, then

Since AG = BG = CG, therefore, CG = 13 cm.</span>
Answer: The first machine would cost $420
and the second machine would cost $432
you should buy the first machine
Step-by-step explanation:If you get a 30% discount, then you are paying 70% of the selling price.
Machine 1: 600(.70) = 420
Machine 2: A 10% discount means you pay 90%
600(.90) = 540 But now you get a 20% discount on that amount, which means you would pay 80%
So, 540(.80) = 432
Answer: the answer is 7,739
Step-by-step explanation:
Step-by-step explanation:
QU=DA(given)
DU=DU(common)
QD=UA(given)
there they are congruent because of SIDE SIDE SIDE
Answer:

Step-by-step explanation:
The coordinates of M are calculated using the midpoint formula:

where
and
We substitute into the formula to obtain:

We simplify to get:

The coordinates of the midpoint of CD are:
