Question #45258

find the value of the variable and ST if S is between R and T

RS =7a,ST = 12a, RT = 76

Expert's answer

Answer on Question #45258 – Math - Geometry

Problem:

Find the value of the variable and ST if S is between R and T

RS = 7a, ST = 12a, RT = 76

Solution:

Let's look at Figure



As we know

RT = RS + ST = 7a + 12a = 19a

And RT = 76

That’s why RT = 19a = 76 => a = 76/19 = 4

ST = 12a = 12*4 = 48

Answer:

a = 4

ST = 48

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