Mathematics High School

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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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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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]

                            [tex]y = 4 \  miles / hr[/tex]

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]

=>   [tex]48 =  x+ y\cdots 2[/tex]

add equation 1 and 2

       [tex]2x =  92[/tex]

=>    [tex]x =  46 miles /hr [/tex]

substituting this  into  equation 1

     [tex] 46 - y  = 44 \cdots 1 [/tex]

=>   [tex]y = 4 \  miles / hr[/tex]

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Answer:

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Step-by-step explanation:

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Answers

Answer:

y = 2x - 7

Step-by-step explanation:

y = 2x - 3

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Answers

Answer:

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Step-by-step explanation:

Answer:b

Step-by-step explanation:

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Answer:

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Answer:

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2-17

3-23

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6-41

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Step-by-step explanation:

They were only in stage one of the 1st day and stage 2 for day 2 and 3 and stage 3 for days 4 - 7 and after day 8 there was no cure

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Answers

the answer will be y= 1.4 ..

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Answer:

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Step-by-step explanation:

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Answers

Answer:

Slope = - 5/6

Step-by-step explanation:

Step 1:

y = mx + b        Slope Intercept Form

Step 2:

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Step 3:

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Step 4:

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Step 5:

m = Slope

Answer:

Slope = - 5/6

Hope This Helps :)

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

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Answers

2x - 2y = 14

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Answers

Answer:

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Step-by-step explanation:

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Answer:

The measure of angle ABE is 50 degrees because it is a vertical angle to CBD.

Step-by-step explanation:


If a person walks 1/4 mile in 10 minutes, how far will that person walk in one hour?

Answers

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Answers

Answer:

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Step-by-step explanation:

Which equation shows a proportional relationship between x and y?

y = 16

y = 7x

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Answers

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.

Therefore, a proportional relationship can be represented as y = kx.

where

k = constant of proportionalitythe variables are x and y

Therefore, y varies directly as x in a proportional relationship.

Hence, the equation that shows proportional relationship is y = 7x as 7 is the constant of proportionality. y and x are the variables.

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Answer:

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Step-by-step explanation:

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What are the possible values of x and y for two distinct points, (5, –2) and (x, y), to represent a function?



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Answers

Answer:

any real number except 5

any real number

Step-by-step explanation:

your welcome

The correct answer is:

⇒ Any real number for x except 5, and any real number for y.

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.

Now, For given function is,

This means that 5 cannot be used for x in the other ordered pair.

Since there is no restriction on y in order to be a function, y can be any real number.

Thus, The correct answer is:

⇒ Any real number for x except 5, and any real number for y.

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A bag contains 120 marbles. Some are red the rest are black. There are 19 red marbles for every black marble. How many red marbles are in the bag?

Answers

Answer:

114

Step-by-step explanation:

Ratio of red marbles to black marbles is 19:1. (Data from 3rd sentence)

19+1= 20

20 units= 120 (Data from 1st sentence)

1 unit= 120/20= 6

19 units= 120-6= 114 (Values solved in working above)

Ans: There are 114 red marbles.

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