Answer:
x=13
Step-by-step explanation:
6:(x+2)=2:5
6/x+2=2/5
cross multiply
2(x+2)=6×5
open the bracket
2x+4=30
2x=30-4
2x=26
divide by 2
2x/2=26/2
x=13
Answer:
x=5, y=2
Step-by-step explanation:
1) Subtract 2y from both sides of x+2y to get x=9-2y
2) Substitute x into the first equation to get 3(9-2y)-2y=11
3) Solve for y (y=2)
4) Plug y into either equation: x+2(2)=9 x=5
5) The answer is (5, 2)
Answer:
x=-4
Step-by-step explanation:
sqrt(x+40) - 17 = -11
Add 17 to each side
sqrt(x+40) - 17+17 = -11+17
sqrt(x+40) = 6
Square each side
(sqrt(x+40) )^2 = 6^2
x+40 = 36
Subtract 40 from each side
x+40-40 = 36-40
x = -4
Answer: slope = -1/6
Step-by-step explanation:
(2,0) and (32,-5)
Slope (m) = (y-y)/(x-x)
m = (-5-0)/(32-2)
m = -5/30 (simplify) -1/6
9) yes it is similar : it does not have to be congruent
10) scale factor: 2 (inside) :3 (outside)
11) ratio: 16 (inside) : 24 (outside)
12) Yes they are similar
hope this helps