Question

I need help finishing RT. Please help. I do not know what to do. Any help will be appreciated:))

Answer 1

Answer:

RT = 86

Step-by-step explanation:

Here, we want to find the value of RT

looking at the given triangle, we can deduce that the smaller triangle SPQ is half the measure of the bigger triangle SRT

what this mean is that we have to multiply the dimensions on SPQ by 2 to get the equivalent dimensions of similar sides in SRT

Thus, we have it that;

2(15x -17) = 23x -6

30x - 34 = 23x -6

30x -23x = -6 + 34

7x = 28

x = 28/7

x = 4

So, we make a substitution

for RT;

23x-6

= 23(4) - 6 = 92-6 = 86