Welcome to the article The figure represents a design for a stained glass window The window is divided by chords MN and ST What is the value of x. On this page, you will learn the essential and logical steps to better understand the topic being discussed. We hope the information provided helps you gain valuable insights and is easy to follow. Let’s begin the discussion!
Answer :
The numerical value of x in the figure is 9.
The figure in the image takes the shape of a circle divided by two chords.
Let the chord intersect be O.
Segment MO = 10
Segment ON = 4
Segment SO = 8
Segment OT = x - 4
To determine the numerical value of x, we use the chord-chord power theorem, which is expressed as:
Segment MO × Segment ON = Segment SO × Segment OT
Plug in the values:
10 × 4 = 8 × ( x - 4 )
Solve for x:
40 = 8( x - 4 )
40 = 8x - 32
8x = 40 + 32
8x = 72
x = 72/8
x = 9
Therefore, the variable x equals 9.
The missing figure is uploaded below.
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Rewritten by : Brahmana