Multiplication by 10ⁿ → move decimal n places to the right.
Multiplication by 10⁻ⁿ → move decimal n places to the left.
For n ∈ N
Answer:
Step-by-step explanation:
4) Given that 3x<15
Divide by +3 without affecting inequality
x<5
Hence answer is (-∞,5)
5) -6x<18
Add 6x to both sides
0<6x+18
Subtract 18
-18<6x
Divide by +6
-3<x
Hence answer is (-3,∞)
6) 2x+6>x-7
Subtract x-6 from both the sides
x >-13
So answer is (-13,∞)
7) -4x+8≥14
Add 4x-14 to both the sides
-6≥4x
x≥-3/2
Hence answer is [-3/2,∞)
An exterior angle is an angle supplementary to one of the interior angles.
In other words, an exterior angle is the angle between one of the sides, and the extension of an adjacent side.
In the given diagram, the angle D is measured from one of the sides, but not to the extension of an adjacent side.
Therefore angle D is not an exterior angle.
Option D is the correct one!
If an employee earns 200 dollars for 14 hours work, that means this person gets approximately 14 dollars and 29 cents per every hour.
Thus, in 35 hours, you can multiply 14.29 by 35 to get about 500 dollars.
In 35 hours, the employee will earn 500 dollars.
Let x be the angle. The complement is 3x + 10. The sum of two complementary angles is 90. So,
x + 3x + 10 = 90
4x + 10 = 90
4x = 80
x = 20
Plug x into the complement
3(20) + 10 = 70
The angle is 20 degrees and the complement is 70 degrees
