Answer:
8. ∠1=118° ∠2=118°
9. ∠1=72° ∠2=108°
10. ∠1=127° ∠2=127°
Step-by-step explanation:
8. In this problem, 118° is corresponding to ∠1, meaning they are congruent. ∠2 is supplementary with ∠1, meaning that together, they equal 180°. So, to get ∠2, you must subtract 118° from 180°
9. In this problem, 72° is same side interior with ∠1, meaning they are congruent. ∠2 is supplementary with ∠1, so you do 180°-72°= 108°
10. In this problem, ∠1 is vertical angles with 127°, making them equal to each other. ∠2 is corresponding with 127°, making them also equal.
Answer:
Nikolaus Otto was responsible for inventing the first working four-stroke engine.
Step-by-step explanation:
The second proportion is correct and it will be 6 hours.
Answer:
Average rate of change = 20.2
Rate of change at the left endpoint : f' (5) = 4t = 20
Rate of change at the right endpoint : f' (5.1) = 4*5.1 = 20.4
Step-by-step explanation:
The average rate of change of the function
F(t) = 2t^2 - 1 , [ 5,5.1 ]
solution
=
= [ 2 ( 26.01 - 25 ) / 0.1 ]
= 2.02 / 0.1 = 20.2
Rate of change at the left endpoint : f' (5) = 4t = 20
Rate of change at the right endpoint : f' (5.1) = 4*5.1 = 20.4
Answer:
LEFT
k + 3 = 20,
k = 17
RIGHT
3x + 5 = 32,
k = 9
Step-by-step explanation:
For the left side, you have k + 3 on one side equaling 20, so the equation is
k + 3 = 20
To solve is as follows
k + 3 = 20
- 3 - 3
k = 17
For the right side,
You have 3 x's and 5 1's right? Adding them together will equal 32 (Other side
So your equation is 3x + 5 = 32
To solve is as follows
3x + 5 = 32
- 5 -5
3x = 27
Dividing both sides by 9 we get x = 9
Reasoning; you want to cancel out everything with x so that you got x alone on one side.
Hope this helps, if not comment on this telling me which step I did that you dont understand and I'll explain it.