Since 6x - 44 and 88 degrees are the same (exterior angles), we can start off with the first equation, 6x - 44 = 88
6x - 44 = 88
+44 +44
6x = 132
÷6 ÷6
x = 22
same with the second problem (exterior angles are equal):
equation:
15x + 6 = 9x + 54
-6 -6
15x = 9x + 48
-9x -9x
6x = 48
÷6 ÷6
x = 8
Hope this helped! :D
1. Place your compass point on X and measure the distance to point Y. Swing an arc of this size above (or below) the segment.
2. Without changing the span on the compass, place the compass point on Y and swing the same arc, intersecting with the first arc.
3. Label the point of intersection as the third vertex of the equilateral triangle.
4. Use you straight edge and connect the points.
Answer:
36
Step-by-step explanation:
If I understood your question right, it means that Reina wants to put equal amounts of fruits into the bag. Also it suggests that the volume of the bag is not limited.
Since 36 < 40 < 48, the largest amount of each kind of fruits in the bag can be 36. Otherwise Reina wouldn't be able to put more chinos and the amount of each fruit in the bag wouldn't be equal.
Assuming that the smallest amount of fruits in the bag is one (the bag is not empty), there are 36 possible numbers (from 1 to 36) of each fruit.