Answer:
x = 20
Step-by-step explanation:
<em>Each line creates a 180° angle on each side of it. Since these lines intersect, they have congruent angles. This means that these two quantities can be set equal to each other.</em>
3x + 50 = 6x - 10
<em>Solve by combining like-terms and isolating </em><em>x</em><em>. Move the </em><em>3x</em><em> to the right by subtracting it from both sides.</em>
50 = 3x - 10
<em>Move the </em><em>10</em><em> to the left by adding it to both sides.</em>
60 = 3x
<em>Divide the </em><em>3</em><em> from both sides to isolate the </em><em>x.</em>
x = 20
<em>Furthermore, this can be checked by plugging in </em><em>20</em><em> to </em><em>x</em><em> and seeing if the expression is true.</em>
3(20) + 50 = 6(20) - 10
110 = 110
If you cut a triangle out of a piece of paper, and move that triangle around (sliding, rotating, reflecting) then that triangle will retain its original shape and size. The three movement types mentioned are rigid motions. They do not change the size or shape of the triangle. If two triangles are congruent, then a sequence of one or more rigid motions can be applied to have them line up together.
Answer:
- 197 popcorn bags
- 202 food trays
Step-by-step explanation:
Since the numbers are split evenly 5 ways, each stand gets 1/5 of the total:
(985 bags)/5 = 197 bags
(1010 trays)/5 = 202 trays
Each concession stand receives 197 popcorn bags and 202 food trays.
