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The value of x must be 25.0. The correct option is the second option- 25.0
<h3>Solving Linear equations </h3>From the question, we are to determine the value of x
From the given diagram, we can write that
m ∠SOR + m ∠UOR + m ∠TOU = 180° (<em>Sum of angles on a straight line</em>)
∴ (2x +8)° + (3x - 14)° + (3x -14)° = 180°
2x° + 8° + 3x° -14° + 3x° -14° = 180°
Collect like terms
2x° + 3x° + 3x° + 8° - 14° -14° = 180°
8x° -20° = 180°
8x° = 180° + 20°
8x° = 200°
x = 200/8
x = 25.0
Hence, the value of x must be 25.0. The correct option is the second option- 25.0
Learn more Solving linear equations here: brainly.com/question/1413277
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Answer:
Step-by-step explanation:
Given:
- P = (1, 5)
- Q = (-2, 3)
- R = (a, b)
- R lies on line x = 3
- PR = QR
If point R lies on the line x = 3, then the x-value of point R is 3.
⇒ a = 3
<u />
<u>Distance between two points</u>
(where (x₁, y₁) and (x₂, y₂) are the two points)
Use the <u>distance formula</u> to derive equations for PR and QR.
Let (x₁, y₁) = P = (1, 5)
Let (x₂, y₂) = R = (3, b)
Let (x₁, y₁) = Q = (-2, 3)
Let (x₂, y₂) = R = (3, b)
As PR = QR, equate the derived equations and solve for b:
Substitute the found values of a and b to find the coordinates of R:
Learn more about the distance formula here: