Question

PLEASE HELP!!!!!!!!!!!!!

Answer 1

BS = 9

Explanation:

• Calculate Given:

△BCU ~ △STU

• So the ratio of the length of sides is proportional:

Statements: CU/TU = BU/SU

6/18 + 6 = BU/12

6/24 = BU/12

Now:

2BU = 6

BU = 3

• Calculate:

SU = BU + BS

12 = 3 + BS

• BS = 9

Step-by-step explanation (2):

Similar triangles:

Let:

BS = x

BU = 12 - x

TU = TC + CU = 18 + 6 = 24 units

Statements: BU/SU = CU/TU

12 - x/12 = 6/24 ---> 12 - x/12 = 1/4

-4x = 12 - 48

BS = 9

Hope it helps!