A. The ratio between the lengths of two pieces of lumber is 2:3. The longer piece is
21 ft long. How long is the shorter piece?

Help me please

14 feet

Step-by-step explanation:

Let the shorter piece have length x.

Since the ratio is 2:3 and the longer piece is 21 feet long, we can write that as 2:3 = x:21.

Writing it as fractions, we get 2/3 = x/21 —(multiply by 21)—> x = 21*2/3 = 7*2 = 14 feet.

Thus, the shorter piece is 14 feet.

I hope this helps! :)

the shorter piece is 14ft long

Step-by-step explanation:

let the shorter piece be x

longer piece will be x:21

ratio of two pieces= 2:3

2:3=x:21

2/3=X/21

then cross multiply

21×2=3x

42/3=3x/3

X=14

2:3=14:21

hope it helps

r(0,90)(x,y) . t(-5,0)

last option

step-by-step explanation:

∆def to ∆d"e"f"

- rotate 90 counterclockwise degrees

- then translated 5 to the left (x --> x - 5)

answer is the last option

step-by-step explanation:

i found the koficent of the linear function and i foun c acordind to the strict formula y=kx+c and then i took 2 as an x and replacet it on the formula i found and then foun the y