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Ivahew [28]
4 years ago
15

If RS = 17, ST = x + 6, and RT = 3x - 5, What is ST.

Mathematics
1 answer:
tigry1 [53]4 years ago
3 0

Answer:

ST = 20

Step-by-step explanation:

Line segment RS and segment ST must add up to line segment RT

Step 1: Define

RS = 17

ST = x + 6

RT = 3x - 5

Step 2: Set up equation

mRS + mST = mRT

17 + x + 6 = 3x - 5

Step 3: Solve for <em>x</em>

x + 23 = 3x - 5

23 = 2x - 5

28 = 2x

x = 14

Step 3: Find mST

ST = x + 6

ST = 14 + 6

ST = 20

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Answer:

The point (x, y) = (3, -4) represents the solution of the given system of equations.

Please check the attached graph.

Step-by-step explanation:

Given the system of equations

y\:=\:-\frac{3}{2}x\:-\:3

y\:=\:-x\:-\:1

Please check the attached graph of the given system of equations

From the graph:

  • The red line represents the equation: y\:=\:-\frac{3}{2}x\:-\:3
  • The blue line represents the equation: y\:=\:-x\:-\:1

Point of Intersection:

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It is clear from the attached graph that the two lines intersect at the point (-4, 3).

i.e. at x = -4, y = 3

Therefore, the point (x, y) = (3, -4) represents the solution of the given system of equations.

Please check the attached graph.

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