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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50°

Step-by-step explanation:

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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

y=−7x−2

y = 9x + 1

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.

learn more on proportional relationship here: brainly.com/question/20213987

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Answer:

y = 7x

Step-by-step explanation:

the proportional relationship is y = 7x as 7 is the constant of proportionality. y and x are the variables.

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



The value of x can be




The value of y can be

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.

Learn more about the function visit:

https://brainly.com/question/11624077

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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)

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After getting 5 new rocks, George gave half of his rock collection to Susan. If George gave Susan 36 rocks, which equation could be used to determine how many rocks George started with?

Answers

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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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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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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Answers

Answer:

Slope = - 5/6

Step-by-step explanation:

Step 1:

y = mx + b        Slope Intercept Form

Step 2:

6x - 5y = - 40      Equation

Step 3:

- 5y = - 6x - 40       Subtract 6x on both sides

Step 4:

y = 5/6x - 80      Divide 5 on both sides

Step 5:

m = Slope

Answer:

Slope = - 5/6

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Answers

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Step-by-step explanation:

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Answers

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Answer:

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Answers

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Step-by-step explanation:

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Answers

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Answers

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Answers

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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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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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