Hello!
Angle POQ and angle MON are vertical which means they are congruent
x - 28 = 149
Add 28 to both sides
x = 177
Angle NOQ and angle NOM are supplementary meaning they add to 180
NOQ + NOM = 180
Put in the known angle
NOQ + 149 = 180
Subtract 149 from both sides
NOQ = 31
The answers are x = 177 and angle NOQ = 31
Hope this helps!
<h3>
Answer: D) 5</h3>
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Explanation:
If we plugged x = 3 into the expression, then we'd get x-3 = 3-3 = 0 in the denominator. That's not allowed. But we can simplify first
x^2-x-6 factors to (x-3)(x+2). The key here is that (x-3) is a factor. It cancels with the x-3 in the denominator
So, 
Allowing us to say,

Time =

The distance the bag will travel is 5 meters, and the speed it is traveling at is 1 m/s. Plug these into the formula for time.

= 5 s
5/1 = 5 and the m (meters) cancel out, so you are left with s, seconds.
It will take the bag
5 seconds to travel across the floor.
Sin = opposite/hypothenuse
Given opposite = 16
Hypothenuse = ?
Use Pythagorean theorem to find hypothenuse
12^2 + 16^2 = h^2
144 + 256 = h^2
h^2 = 400, h = 20
You know hypothenuse is 20
Opposite/hypothenuse
Solution: 16/20
Simplify if you need to (4/5)
The perimeter of a rectangle is 62m. find the length of its sides if it is known that the area of the rectangle is 1980000 cm².