5x - 4 = -3x + 12.
move -3x to the other side
sign changes to +3x
5x+3x-4= -3x+3x+12
5x+3x-4= 12
move -4 to the other side
sign changes to +4
5x+3x-4+4= 12+4
8x= 16
divide by 8 for both sides
8x/8= 16/8
x= 2
Answer: x= 2
The labeled angle is what's called an inscribed angle. There's a theorem (fittingly called the inscribed angle theorem) that says the measure of this angle is half the measure of the circular arc that it subtends.
In this case, the angle is subtended by an arc measuring 180°. So
(4x + 6)° = 1/2 • 180°
4x + 6 = 90
4x = 84
x = 21
Answer:
111°
Step-by-step explanation:
- All these are parallel lines, so the 36° angle is equal to the 36° angle inside the big triangle because they are vertically opposite.
- Ignore the line cutting between 45° and the 30° and consider it as one triangle
- Add them to get 75°
- Now you have two known angles 75° and 36°
- To get angle <em>x</em><em> </em>add 75° and 36° to get 111°
- Because x° is an exterior angle and exterior angles equal to the sum of interior angles opposite it inside the triangle.
Asked and answered elsewhere.
brainly.com/question/10629871How do you calculate it? You start by expressing the density in the units you have. Then you multiply by appropriate conversion factors to get to the units you want. Treat units as though they were any other variable. A value cancels that appears in both the numerator and denominator of a fraction.
Answer:

Step-by-step explanation:

