Answer:
- x = 37
- DG = 22
- AG = 44
- AD = 66
Step-by-step explanation:
We presume your "centroid ratio theorem" tells you that AG = 2·DG, so ...
(x+7) = 2(x -15)
x + 7 = 2x - 30 . . . . eliminate parentheses
37 = x . . . . . . . . . . .add 30-x
Then AG = 37+7 = 44
and DG = 37-15 = 22.
Of course, AD = AG +GD = 44 +22 = 66
Y-axis, x-axis, y-axis, x-axis
Answer:
40
Step-by-step explanation:
Use the Outside Angles Theorem,

Answer:
can be factored out as: 
Step-by-step explanation:
Recall the formula for the perfect square of a binomial :

Now, let's try to identify the values of
and
in the given trinomial.
Notice that the first term and the last term are perfect squares:

so, we can investigate what the middle term would be considering our
, and
:

Therefore, the calculated middle term agrees with the given middle term, so we can conclude that this trinomial is the perfect square of the binomial:

Answer:y=5x+8
Step-by-step explanation: the perpendicular slope is going to be the negative reciprocal of your given slope. In this case the perpendicular line has a slope of 5, because u flip -1/5 to make -5 and u negate -5 to make 5. This perpendicular slope passes through (-2,-2) and u find the y intercept like this: -2=(5(-2))+b. Therefore the y intercept is 8 and the perpendicular slope is y=5x+8