Answer:
12 in
Step-by-step explanation:
i don't know, you didn't show me the picture.
Answer:
80
Step-by-step explanation:
If we assume the triangles are similar and are isosceles, and that BK is an altitude, then we can work the problem.
Triangle OKN will be similar to triangle BKA, so ...
AN : AK = BO : BK = 1 : 3
Then ...
AN : AK : KC = 1 : 3 : 3
In terms of ratio units, ...
AN = 1
AC = 3+3 = 6
NC = 6-1 = 5
This means NC : AC = 5 : 6. The triangle perimeters will have the same ratio.
perimeter(NMC) = 5/6·perimeter(ABC) = 5/6·96
perimeter(NMC) = 80
Double angle identity for cosine:
By the Pythagorean theorem, if
, it follows that
:
where we take the positive root because
, and
is non-negative throughout this domain.
So we have
Answer:
25,37,41,76,-2
-88,4,6,91,93,-15
-42,8,12,16,24,38
21,28,32,48,-5,92
3,6,10,12,16,21
explanation:
ascending order means arrange it from smallest to largest!!
