asked 24.4k views
0 votes
RS = 3x - 16, ST = 4x - 8, RT = 60

2 Answers

6 votes

Answer:

RS = 20 and ST = 40

Explanation:

x = 12

use this to find RS and ST by plugging in to their equations.

answered
User Jrochkind
by
8.2k points
3 votes

Answer:

RS = 20

ST = 40

Explanation:

R____S____T

RS + ST = RT

3x - 16 + 4x - 8 = 60

3x + 4x - 16 - 8 = 60

7x - 24 = 60

+24 +24

--------------------------------

7x = 84

/7 /7

---------------------------------

x = 12

Let's use what we got for x to find the length of ST and RS

ST = 4x - 8

= 4(12) - 8

= 48 - 8

ST = 40

RS = 3x - 16

= 3(12) - 16

= 36 - 16

RS = 20

so, RS = 20, ST = 40, and RT = 60

answered
User M Alok
by
8.7k points

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