since the range on the horizontal axis has a range of 0 to 3, there is no way to know how many students collected an exact number of bottles,
so the answer would be the number of students who collected exactly 2 bottles
Answer:
x = 4
Step-by-step explanation:
The given equation is :
6 - x =2
Put x = 1 and see LHS is equal to RHS or not.
So,
6-1 ≠ 2
Put x = 2 and see LHS is equal to RHS or not.
So,
6-2 ≠ 2
Put x = 3 and see LHS is equal to RHS or not.
So,
6-3 ≠ 2
Put x = 4 and see LHS is equal to RHS or not.
So,
6-4=2
2 = 2
So, the solution of the given equation is x = 4.
Answer:
See below ~
Step-by-step explanation:
<u>Solving for x in ΔLMN</u>
- 6x + 3 + 4x - 10 + 5x + 7 = 180
- 15x = 180
- x = 12
<u>Angles in ΔLMN</u>
- (6x + 3)° = 6(12) + 3 = 75°
- (4x - 10)° = 4(12) - 10 = 38°
- (5x + 7)° = 5(12) + 7 = 67°
<u>Solving for y in ΔSTU</u>
- 5x + 3y + 9y - 7 + 6x - 5 = 180
- 11x + 12y - 12 = 180
- 11(12) + 12y = 192
- 132 + 12y = 192
- 12y = 60
- y = 5
<u>Angles in ΔSTU</u>
- (5x + 3y)° = 5(12) + 3(5) = 60 + 15 = 75°
- (9y - 7)° = 9(5) - 7 = 45 - 7 = 38°
- (6x - 5)° = 6(12) - 7 = 72 - 7 = 67°
⇒ Their angles are equal (in ΔLMN and ΔSTU)
⇒ ΔLMN and ΔSTU are similar