G divides each median in the ratio of 2 to 1 (the longer side goes from G to the angle)
triangle AMN is similar to triangle ABC (why?)
AMN is a scaled version of ABC (by a factor of ⅔)
its area should be scaled by (⅔)^2
Answer:
D. Adjacent angles and B supplementary
Step-by-step explanation:
This is an adjacent and supplementary angle
Option <em><u>D</u></em><em><u>,</u></em><em><u> </u></em><em><u>B</u></em>
Answer:
20
Step-by-step explanation:
If the three numbers are x, x+1, and x+2, then:
x (x+1) (x+2) = 990
x (x² + 3x + 2) = 990
x³ + 3x² + 2x - 990 = 0
(x - 9) (x² + 12x + 110) = 0
Since x must be a whole number, x = 9. You can also use simple trial and error to find that the three numbers are 9, 10, 11.
The sum is:
9 + 10 + 11 = 20
That statement is true, since the ratios are equivalent, they are equal.
