Answer:
8
Step-by-step explanation:
let the number be n , then
n + 3 = n - 3 ( multiply through by 4 to clear the fraction )
n + 12 = 4n - 12 ( subtract 4n from both sides )
- 3n + 12 = - 12 ( subtract 12 from both sides )
- 3n = - 24 ( divide both sides by - 3 )
n = 8
That is the number is 8
Answer:
The angles are 110, 110 and 140
Step-by-step explanation:
Let the equal angles be x.
So we have angles x, x and another third one
Now, the other third angle is 30 degrees larger than x, this means that the other third angle is 30 + x
Since they are angles at a point, adding the three together will make or give 360.
Thus,
x + x + x + 30 = 360
3x + 30 = 360
3x = 360-30
3x = 330
x = 330/3
x = 110
So the other third angle is 110 + 30 = 140
So the angles are 110, 110 and 140
Total = 2 + 4 + 10 = 16
Bubble Gums and Tootsie Roll = 2 + 10 = 12
P(Bubble Gums and Tootsie Roll) = 12/16 = 3/4
I believe it is A
Hope this answer helps
First notice that the triangle with sides
and the triangle with sides
are similar. This is true because the angle between sides
in the smaller triangle is clearly
, while the angle between sides
in the larger triangle is clearly
. So the triangles are similar with sides
corresponding to
, respectively.
Now both triangles are
, which means there's a convenient ratio between its sides. If the length of the shortest leg is
, then the length of the longer leg is
and the hypotenuse has length
.
Since
is the shortest leg in the larger triangle, it follows that
, so
