Lets compare 5/6 and 7/9 also with same denominator
2 answers:
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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
Hey there!
Linear functions have a continuous change.
Let's check these tables and see if we can tell linear functions from non-linear functions.
The first one is
- x values: -1, 0, 1, 2
- we add 1 each time
- y values: 8, 5, 2, -1
- we subtract 3 each time
Let's try the next one:
- x values: -1, 0, 1, 2
- we add 1 each time
- y values: 5, 10, 15, 20
- we add 5 each time
Let's try the third one:
- x values: -1, 0, 1, 2
- - we add 1 each time
- y values: 15, 18, 20, 21
- we add 3, then 2, then 1..
So this table doesn't represent a linear function.
Let's check the fourth one:
- x values: -1, 0, 1, 2
- we add 1 each time
- y values: 1, 2, 3, 4
- we add 1 each time
Thus, Option C is the right option.
Hope everything is clear.
Let me know if you have any questions!
Always remember: Knowledge is power!