Answer:
The answer is E
Step-by-step explanation:
if you find the common numbers you get 45
Okay. So, what you do is subtract the negative number from the positive number. Let’s find the lowest common multiple of each number. The lowest common multiple (LCD) is 6. So we set this problem up as 2 3/6 - 1 1/6. When we subtract both numbers, you get 1 2/6. or 1 1/3 in simplest form. Now, you subtract again. Because 1 3/4 is greater than the number we are subtracting from, which is 1 1/3, the answer will be negative. The LCM of 3 and 4 is 12, so 12 will be the LCD. Let’s subtract to get our negative difference. 1 9/12 - 1 4/12 is 5/12. Plug in the negative symbol and you have -5/12. There. The answer is -5/12.
Answer:
Step-by-step explanation:
We are given the claim.
Claim: The mean weight of male aerobics instructors in a certain city is more than 182 lbs.
Population mean = 182 lbs
The null hypothesis will state that the sample mean is less than or equal to the population mean 182 lbs.
The alternate hypothesis will state that mean weight of male aerobics instructors in a certain city is more than 182 lbs.
answer I credits: ChiKesselman solved it
V
Answer:
5,652,000
Step-by-step explanation:
1. Simplify 1/3 * 3.14
you'll end up with 3.14/3
2. Divide 3.14 by 3
this will give you 1.046
3. Raise 150 to the power of 2.
you now have 22,500
your equation is now: 1.046 * 22,500 * 240
4. Multiply 1.046 by 22,500
your equation is now 23,500 * 240
5. Multiply 23,500 by 240
your answer is 5,652,000
According to HL theorem if one leg and hypotenuse of one right triangle are equal to one leg and hypotenuse of other right triangle, then the triangles are congruent.
By using this theorem we can set up the system of equations as follows:
x=y+1 ...(1)
2x+3= 3y + 3 ..(2)
By using equation (1) next step is to plug in y+1 for x in equation (2). So,
2 ( y + 1) + 3 = 3y + 3
2y + 2 + 3 = 3y + 3 By using distribution property.
2y + 5 = 3y + 3
2y + 5 - 5 = 3y + 3 - 5 Subtract 5 from each side.
2y = 3y - 2
2y - 3y = -2 Subtract 3y from each sides.
-y = -2
So, y=2
Next step is to plug in y=2 in equation (1) to get the value of x. Hence,
x= 2+1
=3
So, x=3 and y=2 make these triangles congruent.
So, the correct choice is 3. x = 3, y = 2.
