184k views
1 vote
In the diagram, TQ is 18 units in length.

What is the length of RS?
16 units
18 units
25 units
46 units

In the diagram, TQ is 18 units in length. What is the length of RS? 16 units 18 units-example-1

2 Answers

4 votes

Answer:

25

Explanation:

I got it right on my assignment.

User CNoob
by
5.8k points
3 votes

check the picture below.


we know TQ is 18, and notice those red tickmarks, meaning 2x + 10 is also 18, namely 2x + 10 = 18, 2x = 8, x = 4.


now, the angles at point T are both 90°, the sides RT = TQ, the sides TS = TS, namely, the triangle on the left is congruent with the triangle on the right, due to Side Angle Side, SAS. If both triangles are congruent, then RS = QS, as you see in the picture, and 9x - 11 is just 9(4) - 11 = 25.

In the diagram, TQ is 18 units in length. What is the length of RS? 16 units 18 units-example-1
User Thegaw
by
5.8k points