Answer:
The missing sides are 13 (small) and 2424 (big)
Step-by-step explanation:
The bigger triangle is bigger by 2 so multiply or divide the sides you do know by 2 to find the missing sides.
BC=12
ED= 12*2= 24
FD= 26
AC= 26/2= 13
Answer:
x=6
15x - 24 = 1/3x + 4 + 10x
=
45x - 72 = x + 12 + 30x
=
45x - 72 = 31x + 12
=
45x - 31x = 12 + 72
=
14x = 84
=
x = 6
Answer:
C
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
= 
, substituting values
= 
( cross- multiply )
21x = 7(24 - x) ← distribute
21x = 168 - 7x ( add 7x to both sides )
28x = 168 ( divide both sides by 28 )
x = 6 → C
If the amount of money you invested in the first fund is x and the second fund y, then 9% (or 0.09 by moving the decimal 2 spots)*x+0.03*y=1047 since the first fund paid 9% and the second 3%. In addition, for this year, we get
0.1*x+0.01*y=811.
We also have 0.09*x+0.03*y=1047, so we can multiply the top equation by -3 and add it to the second to get -0.21x=-1386. Dividing both sides by -0.21, we get x=6600. In addition, since 0.1*x+0.01*y=811, we can plug 6600 in for x to get 660+0.01*y=811 and by subtracting 660 from both sides we get 0.01*y=151. Multiplying both sides by 100 (since 0.01*100=1), we get y=15100
The first equation is
The second equation is
If you sum the two equations you'll cancel y:
And since the sum must be 11, we have y=9.
