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Find the value of x in each case. Give reasons to justify your solutions!

XW ∥ YZ

Jimrgrant11 or anyone - PLEASE HELP

Find the value of x in each case. Give reasons to justify your solutions! XW ∥ YZ-example-1
User Gurfuffle
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2 Answers

2 votes

Final answer:

The information contains a mix of equations and vector problems in mathematics, where solving for x varies from isolate and solve to applying trigonometry or vector analysis. Context, such as diagrams, is needed for problems involving parallel lines and vectors.

Step-by-step explanation:

The provided information seems to be a mix of various mathematical problems, ranging from solving equations to understanding distances and vectors. Some of the equations given are direct and can be solved by isolating x or z. For example, to solve for x in the equation '15x = 20', we simply divide both sides of the equation by 15 to obtain x = 20/15 or x = 1.33.

When dealing with vectors and distances like 'xf = 6.70 km and xo = 4.70 km', one might be finding displacement or using trigonometry to calculate distances. It's also mentioned that we need to identify x-components and y-components of displacement vectors, which would require breaking down a vector into its horizontal and vertical constituents.

In the context of parallel lines such as 'XW ∥ YZ', we could be discussing properties of parallel lines in geometry, including corresponding angles, alternate interior angles, or the Triangle Proportionality Theorem. However, without a specific figure or more context, providing a step-by-step solution is challenging.

User Kabichan
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4.8k points
7 votes

Answer:

x = 19

Step-by-step explanation:

Since YZ and XW are parallel,

Angle XWY = Angle WYZ (Alternate Angles)

Angle XWY = 2x

Since all angles of a triangle add up to 180 degrees,

(3x - 5) + 90 + 2x = 180

5 x = 95

x = 19

User Bruno Tremblay
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5.1k points