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18 votes
18 votes
Heeeelllppp plllsssss

Heeeelllppp plllsssss-example-1
User Nikolay Georgiev
by
2.5k points

1 Answer

20 votes
20 votes

Answer:

k = 5

Explanation:

If we imagine that triangle ABC was shortened to create

triangle CED then the factor by which CB was shortened

to create CE is the same factor that shortened AB to

make DE.

= 10.8

= 6

This means the scale factor is:

CE/CB = 6/10.8 = (Decimal: 0.555556) or fraction (5/9)

scale factor: 5/9

Then we apply this factor to AB

DE = 5/9 × AB

--> k = 9 × 5/9

k = 5

or you can do the shorter way, which is

9/k = 6 + 4.8 / 6

Step 1: Cross-multiply.

(9)*(6)=(6+4.8)*(k)

54 = 10.8k

Step 2: Flip the equation.

10.8k = 54

Step 3: Divide both sides by 10.8

10.8k/10.8 = 54/10.8

k = 5

User Winnie
by
3.0k points