Start with the boys. When the line leader is chosen, there are 10 choices. Then out of the remaining 9, one is chosen to be the caboose. For the girls, the numbers would be 12 and 11. Multiply these numbers to get 1180 possibilities.
Hello :
<span>the numbers are : x , y
x - y = 4...1)
xy = 96...(2)
by (1) : x = y +4...(*)
subsct in (2) : (y+4) y = 96
y² +4y -96 = 0
(y² +2(2y) +2²) -2² -96 = 0
(y+2)² -100 =0
</span>(y+2)² <span>= 10²
y +2 = 10 or y+2 = -10
y = 8 or y = -12 ( refused : x is positif)
y = 8
</span>subsct in (*) : x = 8+4 = 12
<span> the numbers are : 12 and 8
12-8 = 4 and 12×8 = 96</span>
Answer:
336
Step-by-step explanation:
not completely sure but I'm pretty sure its 336
Answer:
Option 1 and 3 are correct.
Step-by-step explanation:
The corresponding angles are the matching angles when two lines are crossed by another line which is called traversal.
Looking in the figure following are corresponding angles
8 and 6
4 and 2
7 and 5
3 and 1
Now, looking at the options
Option 1 5 and 7
and Option 3 6 and 8 are only given corresponding angles.
So Option 1 and 3 are correct.
Answer:
3 non-congruent triangles
Step-by-step explanation:
Assume, side of cube is 1 unit.
24 triangles, faces of cube and side lengths = 1,1,√2
24 triangles, by 2 diagonal and one side and length = 1,√2
,√23
8 triangles, using bases of tetrahedrons of the cube and side lengths = √2
,√2
,√2
Therefore, 3 non-congruent triangles. are formed.