Answer:
x = 20
Step-by-step explanation:
Traingle ABC = Traingle DEC
4x-1×4×5 = x+2×4×5
80x-1 = 2×20x
80x-20x = 2+1
60x = 3
60÷3 = x
x = 20
First keep in mind that the center is 5 inches...let L and R be the left and right positions of the two flames...
L=h and R=10-1.5h where h is in hours....
The two flames meet when L=R so we can say:
h=10-1.5h add 1.5h to both sides
2.5h=10 divide both sides by 2.5
h=4
So the flames will meet in five hours, using either original equation we can find this position, I'll use L=h..
L=4
So the position of the flames is 4" from the end. The questions ask how far this point is from the center so:
5-4=1"
So the flames meet 1 inch from the center.
ANSWER

EXPLANATION
The given expression is

We multiply out to obtain,

Recall that,

We apply this rule to obtain,

This simplifies to
3 (2x + 1) = 21
6x + 3= 21
-3 -3
6x = 18
Divide each side by 6, and x equals 3.
3 (2(3) + 1) = 21
3 (6 + 1) = 21
18 + 3 = 21
Hope this helps! Can I please have brainliest so I can level up? Thank you!