3w + 8 - w = 4w - 2(w - 4)
2w + 8 = 4w - 2w + 8
2w + 8 = 2w + 8
0 = 0
Therefore, option b is an identity.
The prime factorization of the numerator, 315, is 5 x 3 x 3 x 7. That of the denominator, 1575 is 5 x 5 x 3 x 3 x 7. To convert the fraction to its lowest form, cancel all the factors that appear to both the numerator and denominator. We will be left with 1/5.
In the first 100 pages there are 10 pages with numbers 40-49 ( that is total of 11 4's) and another 4 in the units, 10's , 20's, .... 90's ( not including 40's) That is total of 9 4's.
So in first 100 pages there are 20 4's.
therefore there are 20 4's on pages 101-200 and another 20 4's on pages 201-300.
On pages 301 to 352 there are 15 4's.
answer is 3*20 + 15 = 75.
Answer:
Arc DB = 146
x = 5
Step-by-step explanation:
Remark
The relationship between the large arc, the small arc and the intersecting angle is
1/2 (large arc - small arc) = intersecting angle.
Givens
Large arc = 25x + 21
Small arc = 96
5x
Solution
1/2*(25x + 21 - 96) = 5x*2 Multiply both sides by 2
25x + 21 - 96 = 10 x Combine
25x - 75 = 10x Subtract 25x from both sides
-75 = 10x - 25x
-15x = -75
x = 5
DB = 25x + 21
DB = 25*5 + 21
DB = 125 + 21
DB = 146
Tell me if this is not in the choices.