Hiiii i just commented but it works now!

THE ANSWER IS: 9

let the length FJ be x

since the triangles are similar, set up a ratio that matches the corresponding sides
so the longest side of the triangle over the shortest side of the triangle

set the ratios equal to each other

to solve for 16+x, multiply 15x15 then divide by x
rewrite that as 225/x = 16+x

solve for x
you’ll get two answers: -25 and 9
since the side length can’t be negative, the answer is 9

8 0

3 years ago

1. Jin bought 3 small candles and 1 medium candle for $3.85. Trish bought 4 small candles and 5 medium candles for $10.45.

nasty-shy [4]

<span>We will use s for the cost of a small candle and m for the cost of a medium candle.

(a)
The candles and price for Jin can be written as:
3s+1m=$3.85
The candles and price for Trish can be written as:
4s+5m=$10.45

The system of equations that we have is:
</span>3s+1m=$3.85
4s+5m=$10.45

(b)
We will use substitution to solve this problem.
From the first equation we can find out m:
3s+1m=$3.85
1m=$3.85-3s

Now we insert this into second equation and we solve it for s:
4s+5($3.85-3s)=$10.45
4s+$19.25-15s=$10.45
-11s=-8.8
s=$0.8
Now we can find m:
m=$3.85-3*$0.8
m=$3.85-$2.4
m=$1.45

(c)
The candles and price for Jin can be written as:
2s+1m=price
We can insert values for s and m:
2*$0.8+$1.45=price
price=$1.6+$1.45
price=$3.05

8 0

3 years ago