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ratelena [41]
2 years ago
11

Find the values of the variables in the parallelogram. The diagram is not to scale.

Mathematics
1 answer:
Anna [14]2 years ago
8 0

Answer:

  • Option C

Step-by-step explanation:

  • x = 36° as alternate interior angles are congruent
  • z = 110° as opposite angles of parallelogram are congruent
  • x + y + 110° = 180° as adjacent angles of parallelogram are supplementary
  • y = 180° - 110° - 36° =  34°

Correct choice is C

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Answer:

\left\{\begin{array}{l}x=r\cos t\\ \\ y=r\sin t\\ \\z=at\end{array}\right.

Step-by-step explanation:

A <u>helix</u> is a curve for which the tangent makes a constant angle with a fixed line. The shortest path between two points on a cylinder (one not directly above the other) is a fractional turn of a helix, as can be seen by cutting the cylinder along one of its sides, flattening it out, and noting that a straight line connecting the points becomes helical upon re-wrapping (see attached diagram for helix).

The parametrization for the helix is

\left\{\begin{array}{l}x=r\cos t\\ \\ y=r\sin t\\ \\z=at\end{array}\right.,

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Step-by-step explanation:

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What is the constant of proportionality in the equation?
IrinaVladis [17]

Answer:

The constant of proportionality is option D i.e 5.

Step-by-step explanation:

Variation:

Variation problems involve fairly simple relationships or formulas, involving one variable being equal to one term. There are two types of variation i.e.

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Mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other.

Example y=kx

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The above given example is of Direct Variation

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∴ k = 5 = constant of proportionality.

Inverse Variation:

Mathematical relationship between two variables which can be expressed by an equation in which the product of two variables is equal to a constant.

Example yx=k

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