Determine the value of a. answers: A) 10 B) 6 C) 7 D) 70

Answer:
C
Step-by-step explanation:
Since triangles TUS and QRS are similar, if TUS is isosceles then so is QRS. This means that all corresponding proportions are at a constant ratio. So if TS=US, QT=RU and therefore a=7. Hope this helps!
Answer:
a =7
Step-by-step explanation:
The triangles are similar so we can use ratios
10 10
------ = --------
10+a 10+7
Since the numerators are the same, the denominators have to be the same
10+a = 10+7
a = 7