Answer:
X = 5 unit
Step-by-step explanation:
Given as , ABC is a Triangle ,
AC extended to through C to D
∠BAC = 6x + 10
∠ABC = 6x - 10
∠BCD = ∠ 8x + 20
When c extended to D then , ∠BCD is an external angle
∵ <u>External angle = Sum of opposite internal angles</u>
Or ,∠BCD = ∠BAC + ∠ABC
Or, ∠ 8x + 20 = 6x + 10 + 6x - 10
Or, ∠ 8x + 20 = 12x
Or, 12x - 8x = 20
∴ 4x = 20
So, x = = 5
Hence the value of X = 5 unit Answer
Answer:
144π or 452.16 units³
Step-by-step explanation:
The formula for volume of a cylinder is . We can use the given values for radius and height to find the volume of the cylinder.
The volume of the cylinder is 144π or 452.16 units³.
Answer:
360
Step-by-step explanation:
The given digits are 1,2,3,4,5,6.
So, total number of digits = 6.
We need to find the number of different ways to form four-digit numbers using the digits, without repetition.
Total ways for first place = 6
After selecting 1 digit the number of remaining digits is 5. So,
Total ways for second place = 5
Similarly,
Total ways for third place = 4
Total ways for forth place = 3
Total number of ways =
Therefore, 360 four digit numbers are possible.
