Square both sides
9(x + 2) = x + 4
Expand
9x + 18 = x + 4
Subtract x from both sides
9x + 18 - x = 4
Simplify 9x + 18 - x to 8x + 18
8x + 18 = 4
Subtract 18 from both sides
8x = 4 - 18
Simplify 4 - 18 to -14
8x = -14
Divide both sides by 8
x = -14/8
Simplify 14/8 to 7/4
<u>C. x = -7/4</u>
2(5x + 15) + 2<span>(4x + 3) = 360
10x + 30 + 8x + 6 = 360
18x = 324
x = 18
so
RST = </span><span>5x + 15 = 5(18) + 15 = 105
answer
RST = 105 degree</span>
Answer:
336
Step-by-step explanation:
Required Formulas:-
1. Number of ways to select x things out of n things = ⁿCₓ
2. Number of ways to arrange n things when a things and b things are similar = n!/(a!*b!)
Since we have to choose 8 colors and we are having 3 different colors, it is only possible when we select 2 different colors (e.g. 5 red and 3 blue). To find all possible ways we will have to find all unique arrangements of selected color.
Using formula (1), number of ways to select 2 colors out of given 3 colors = ³C₂ = 3
Using formula (2), finding all unique arrangements when 5 stripes are of one color and 3 stripes are of second color = 8!/(3!*5!) = 56
Suppose, we can choose 5 stripes from red color and 3 stripes from blue color or 5 strips from blue color and 3 strips from red color. So there are 2 possibilities of arranging every 2 colors we choose .
∴ Answer=3*56*2 = 336
The answer is 2 2/8 or if it needs to be simplified then it would be 2 1/4.
