Quadrilateral WXYZ is a square. If WT=6, find each measure?

Quadrilateral WXYZ Is A Square. If WT=6, Find Each Measure?

Answers

Answer 1

We know that the diagonals of a square bisect each other which results in the formation of 4 - 90° angles . Which means ZX = 2 × WT . Then ,

= ZX = 2 × 6

= ZX = 12 ( ZX is a diagonal )

Side XY =

XY = √2 d/2

XY = √2 . 12/2

XY = 8.48528

m∠WTZ = 90° ( as the diagonals of a square intersect to form a complete angle ( 360° ) which is divided into four equal parts , each part being 90° )

m∠WTZ = 90°

m∠WYX = 45° ( WYX is half of one of the interior angles in this square which will mean it will be equal to 45° )

Therefore , m∠WYX = 45°

In short :

ZX = 12

XY = 8.48528

m∠WTZ = 90°

m∠WYX = 45°


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In his​ motorboat, Bill Ruhberg travels upstream at top speed to his favorite fishing​ spot, a distance of 264 ​mi, in 6 hr.​ Returning, he finds that the trip​ downstream, still at top​ speed, takes only 5.5 hr. Find the rate of​ Bill's boat and the speed of the current. Let x​ = the rate of the boat in still water and y​ = the rate of the current.

Answers

Answer:

The values are   [tex]x =  46 miles /hr [/tex]

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Step-by-step explanation:

From the question we are told that

   The distance covered is  d =  264 miles

     The time taken is [tex]t_1 =  6 hours[/tex]

     The time taken for the return trip is  [tex]t_2  =  5.5 \ hours[/tex]

Generally during the trip  toward fishing spot , the velocity is mathematically represented as

     [tex]v_t  =  \frac{d}{t_1 } = x - y[/tex]

=>  [tex]v_t  =  \frac{264}{6 } = x - y[/tex]

=>    [tex]x - y  = 44 \cdots 1 [/tex]

Generally during the  return trip  , the velocity is mathematically represented as

      [tex]v_r  =  \frac{d}{t_2}  =  x+ y[/tex]

=>   [tex]v_r  =  \frac{264}{5.5}  =  x+ y[/tex]

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       [tex]2x =  92[/tex]

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substituting this  into  equation 1

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=>   [tex]y = 4 \  miles / hr[/tex]

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The equation that shows a proportional relationship is y = 7x.

How to find the equation that is proportional?

Two variables have a proportional relationship if all the ratios of the variables are equivalent.

In other words, a proportional relationship is one in which two quantities vary directly with each other.

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Answers

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your welcome

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What is mean by Function?

A function is a relation in which each element of the domain, or x-value, is mapped to one element of the range, or y-value.  This means that no x can be mapped to more than one y, so if we have the same number used twice for x, we do not have a function.

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