Answer:
k > 1 is the solution.
Step-by-step explanation:
We are given that 'Negative 5 is fewer than 6 less than a number k', so algebraically it means that - 5 < k - 6.
Then this is a linear inequality of single variable k and we have to solve it.
Now, we have
- 5 < k - 6
⇒ - 5 + 6 < k - 6 + 6 {Adding 6 to both sides}
⇒ 1 < k
⇒ k > 1
This is the solution of the given inequality. (Answer)
Answer:
20 feet
Step-by-step explanation:
The scale is 3 inches is to 2 feet
As a ratio, it would be:

The question is what is the actual length of the stage if the drawing is 30 inches. All we need to do is find a ratio proportional to the scale ratio:

Now to find the missing number, cross multiply the fractions first:



Then solve for x:



The answer is 20 feet
I think your answer is 78 = x -2
Answer:
<A = 27 degrees
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
Tan A = opp side / adj side
Tan A = 2/4
Tan A = 1/2
Taking the inverse tan of each side
tan^-1 ( tan A) = tan ^-1 (1/2)
A =26.56505118
Rounding to the nearest degree
A = 27
Answer:
1 and 7 are congruent
2 and 5 are supplementary
4 and 6 are congruent
3 and 8 are supplementary