so1963
so1963 so1963
  • 05-06-2020
  • Mathematics
contestada

If UV=x+13 and RT=x-37, What is the value of x?

If UVx13 and RTx37 What is the value of x class=

Respuesta :

walber000 walber000
  • 10-06-2020

Answer:

x = 87

Step-by-step explanation:

the ratio SR / RV is equal the ratio ST / TU (both ratios are equal to 1), and the angle in the vertex S is the same for both triangles SUV and STR, so we can affirm that these triangles are similar (case S-A-S).

Then, we have that the ratio SR / SV is the same as RT / UV:

SR / SV = RT / UV = 1 / 2

RT * 2 = UV

2*(x - 37) = x + 13

2x - 74 = x + 13

x = 87

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