Answer:
Angle 1 congruent to angle 2
Transitive property
Converse corresponding angles theorem
In this question, we're assuming Ralph had 0 in his saving funds to start with.
The glasses cost 1200 dollars.
There are 12 months in a year.
Each month, Ralph is given his check two times, that means that Ralph receives his check 2(12), or 24, times per year.
Divide 1200 (the cost of the glasses) by 24 (the amount of times Ralph is given his check)
1200 / 24
Divide both numerator and denominator by 12
100 / 2
Simplify
50
Ralph should have put 50 dollars per pay check to pay for the glasses.
A is your answer.
Have an awesome day! :)
The sum of the 18 numbers is 22.5 x 18 = 405.
Let the numbers be x, x + 1, x + 2, . . ., x + 17
Sum of n term of an arithmetic sequence = n/2(a + l)
18/2(x + x + 17) = 405
9(2x + 17) = 405
2x + 17 = 405/9 = 45
2x = 45 - 17 = 28
x = 28/2 = 14
Therefore, the smallest integer is 14.
Answer:
x = -1
Step-by-step explanation:
4x + 5 = 3x + 4
-5 -5
4x = 3x -1
-3x = -3x
1x = -1
x = -1
24,000/8= 3,000 balls
The machine produce 3,000 balls per hour.
Hope that helps!