Answer: 4x-3x, and 8y+2y. x+10y is the equation in simplest form.
Step-by-step explanation:
Step 1. You need to combine like terms:
4x-3x, and 8y+2y. x+10y would make the equation( 4x + 8y - 3x + 2y) in simplified form.
Hope I could help! :)
Answer:
1/2
Step-by-step explanation:
you can simply the fraction making it 1/2 and 1 - 1/2 = 1/2
The polygon that when rotated at 180 degrees about it's center may not be carried onto itself is a quadrilateral. The reason being quadrilateral is not regular in the sense that different sides have different measures.
Answer:
B. {16, 19, 20}
Step-by-step explanation:
The <em>triangle inequality</em> requires for any sides a, b, c you must have ...
a + b > c
b + c > a
c + a > b
The net result of those requirements are ...
- the sum of the two shortest sides must be greater than the longest side
- the length of the third side lies between the difference and sum of the other two sides
__
If we look at the offered side length choices, we see ...
A: 8+11 = 19 . . . not > 19; not a triangle
B: 16+19 = 35 > 20; could be a triangle
C: 3+4 = 7 . . . not > 8; not a triangle
D: 5+5 = 10 . . . not > 11; not a triangle
The side lengths {16, 19, 20} could represent the sides of a triangle.
_____
<em>Additional comment</em>
The version of triangle inequality shown above ensures that a triangle will have non-zero area.
The alternative version of the triangle inequality uses ≥ instead of >. Triangles where a+b=c will look like a line segment--they will have zero area. Many authors disallow this case. (If it were allowed, then {8, 11, 19} would also be a "triangle.")
This is a typical algebra problem pretending to be geometry. The two indicated angles are supplementary, adding to 180 degrees, precisely when the lines are parallel.
It's not really indicated, but the 8 and the 2 are in units of degrees.
6x + 8 + 4x + 2 = 180
10x = 170
x = 17 degrees
