33, 37, 25, 29
The pattern is semi-complicated and hard to explain.
From the first number to the second, they subtracted 8. Then added 4. Then subtracted 9. And added 4. And subtracted 10. And added 4.
So I subtracted 11. Then added 4. And subtracted 12. Then added 4. Etc.
Answer:
x = 5
angle measure labelled 6x is 30degrees
Step-by-step explanation:
Find the diagram attached
from the diagram;
6x = 30 (vertically opposite angle)
Divide both sides by 6
6x/6 = 30/6
x = 5
Get the angle labelled 6x
6x = 6(5)
6x = 30degrees
I could not get it to work with all of those numbers. The only number that caused an issue was 29. I used 28 instead and it worked. I'm not sure if 29 was a typo, but I couldn't get 29 to work.
I'm going to assume that you meant the following:
(x-1)
---------------
x^2-3x+2
Factoring the denominator, we get:
(x-1)
------------
(x-1)(x-2)
Notice that we have x-1 in both the numerator and the denominator. This factor cancels. HOWEVER: x can still not equal 1, which would lead to div. by zero. With the factor x-1 cancelled, we have 1 / (x-2). As x approaches 1 from either side, y approaches 1 / (1-2), or 1 / (-1), or -1. Thus, the limit exists and is -1.
9514 1404 393
Answer:
1. the longer frame (B) has the shorter width
2. the shorter width is 6 3/7 inches, area divided by length
Step-by-step explanation:
The relation between area, length, and width is ...
A = LW
Then the width is ...
W = A/L . . . . . inversely proportional to length
__
1. Since length and width are inversely proportional (when area is constant), the shorter width will be associated with the longer length. Frame B will have the shorter width.
__
2. The width of frame B is ...
W = A/L = (45 in²)/(7 in) = 45/7 in = 6 3/7 in
