They are corresponding angles - they are equal
X+95 =4x-10
Add 10 to both sides
X+105 =4x
Subtract x from both sides
105=3x
X=35
35+95= 130
The radii of the frustrum bases is 12
Step-by-step explanation:
In the figure attached below, ABC represents the cone cross-section while the BCDE represents frustum cross-section
As given in the figure radius and height of the cone are 9 and 12 respectively
Similarly, the height of the frustum is 4
Hence the height of the complete cone= 4+12= 16 (height of frustum+ height of cone)
We can see that ΔABC is similar to ΔADE
Using the similarity theorem
AC/AE=BC/DE
Substituting the values
12/16=9/DE
∴ DE= 16*9/12= 12
Hence the radii of the frustum is 12
Answer:
<2 = 129°
Step-by-step explanation:
if I || m then 5x+12 =m<2 and m<2 + 2x + 14 = 180°
2x + 14 + 5x + 12 = 7x + 26 =180°
7x = 154 ➡x = 21°
m <2 = 5×21 + 14
Answer:
6 meters
Step-by-step explanation:
8 - 2 = 6
Answer:
0.014
Step-by-step explanation:
The probability that the Islanders will win at least 6 out of seven is the probability of them winning exactly 6 games, P(X=6), added to the probability of them winning all seven games, P(X=7).
This problem can be treated as a binomial probability model with probability of success p = 0.38 in each of n = 7 games.
Thus:
The probability is:
The probability that the Islanders will win at least six out of seven games in a series against the Rangers is 0.014.
