Answer:
Step-by-step explanation:
By the marks on the angles of this triangle, it is isosceles. By the Isosceles Triangle Theorem, if 2 angles of a triangle have the exact same measure, then the sides across from those angles have the exact same measure as well. That means that, algebraically,
5x - 2 = 33 and
5x = 35 so
x = 7
1/2,3/4,2/3...................
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
Let the number equal x:
4 times x = 4x then 3 subtracted from that is 4x-3
4x-3 = 17
Add 3 to both sides:
4x = 20
Divide both sides by 4:
x = 5
Answer: X = 5
