Answer:
<2 = 90
Step-by-step explanation:
If the lines are perpendicular, the angles are 90 degrees
Answer:
The sequence is:
10, 30, 50, 70, 90.....................
Step-by-step explanation:
We have,
First term (a) = 10
Common difference (d) = ?
Sum of first 5 terms (
) = 250
or, ![\frac{n}{2} [{2a+(n-1)d}] = 250](https://tex.z-dn.net/?f=%5Cfrac%7Bn%7D%7B2%7D%20%5B%7B2a%2B%28n-1%29d%7D%5D%20%3D%20250)
or, ![\frac{5}{2} [2*10 + 4d]=250](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B2%7D%20%5B2%2A10%20%2B%204d%5D%3D250)
or, ![\frac{5}{2} * 4[5+d]=250](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B2%7D%20%2A%204%5B5%2Bd%5D%3D250)
or, 10(5 + d) =250
or, 5 + d = 25
∴ d = 20
Now,
2nd term = a + d = 10 + 20 = 30
3rd term = a + 2d = 10 + 2*20 = 10 + 40 = 50
4th term = a + 3d = 10 + 3*20 = 10 + 60 = 70
5th term = a + 4d = 10 + 4*20 = 10 + 80 = 90
I would think Kaylee is 5 since 12 divided by 3 is 4 and 4 * 2 is 8, and 8-3 is 5. So, I would think Kaylee is 5.
Answer:
6. xint=-7
yint=-3
7. xint=-7
yint=-5
Step-by-step explanation:
Answer:
Step-by-step explanation:
Givens
Let the least number = x
Let the largest number = 2x
Let the second number = x + 3
The sum = 75
Equation
x + 2x + x + 3 = 75 Combine the terms on the left
Solution
4x + 3 = 75 Subtract 3 from both sides
4x +3-3= 75-3
4x = 72 Divide by 4
4x/4 = 72/4
x = 18
Answer
Smallest number = 18
Second number = 18 + 3 = 21
Largest number = 2*18 = 36
Sum = 75