velardejazlynn
velardejazlynn velardejazlynn
  • 22-08-2018
  • Mathematics
contestada

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 25 units 46 units class=

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jdoe0001 jdoe0001
  • 22-08-2018

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.

Ver imagen jdoe0001
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aarionjohnson03 aarionjohnson03
  • 20-01-2019

Answer:

25

Step-by-step explanation:

I got it right on my assignment.

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