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Nastasia [14]
3 years ago
11

7. The diagram shows a regular pentagon inscribed inside the rectangle. Find the values of x, y, and z.

Mathematics
1 answer:
Wewaii [24]3 years ago
3 0
<span>regular pentagon sum of interior = (5 - 2) x 180 = 3 x 180 = 540
so
x = 540 / 5 = 108

180 - 108 = 72
y = 72/2 = 36

z = 180 - 90 - 36
z = 54

answer
x = 108, y = 36 and z = 54</span>
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Solve the equation<br> -4(x - 26) = -200
Naddik [55]

Answer:

x=76

Step-by-step explanation:

-4(x - 26) = -200

x-26=50

x=50+26

x=76

I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)

3 0
3 years ago
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The equation y minus two-thirds = negative 2 (x minus one-fourth) is written in point-slope form. What is the equation in slope-
Diano4ka-milaya [45]

Answer:y = - 2x + 7/6

Step-by-step explanation:

The point slope form of the equation is expressed as

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Comparing with the point slope form of an equation,

y - 1 = m(x - 1)

From the given equation,

Slope, m= - 2

The point through which the line passes through is ( 1/4 , 2/3)

The slope intercept form is expressed as

y = mx + c

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m represents slope

c represents intercept

To determine c, we we would substitute m = - 2, x = 1/4 and y = 2/3 into y = mx + c. It becomes

2/3 = - 2 × 1/4 + c

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c = 2/3 + 1/2 = 7/6

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y = - 2x + 7/6

7 0
3 years ago
A box with a square base and no top is to be made from a square piece of carboard by cutting 7 in. squares from each corner and
mojhsa [17]

Answer:

The size of the cardboard should be  26  in\ by\ 26in

Step-by-step explanation:

The diagram for this question is shown on the first uploaded image

     The volume of the box is  V = 2527  \ in ^3

The length and the Width of the card is  

      L = W = Z

From the question we are told that 7 in squares were cut from each corner

So the length and the width of the box  would be  

              L = W = (Z - 7)

And the height would be  H  =  7 in

Mathematically the volume of the box can be represented as

              V  = Length\ of\ bx  * Width\ of\ box * Height\ of\ box

So the Volume would be

         V =  (Z-7)(Z-7) * 7

Substituting values

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7 0
3 years ago
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denpristay [2]

Answer:

0.3721 or 37.21%

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The probability that the phone came from factory II, given that is not defective, is determined by the probability of a phone from factory II not being defective divided by the probability of a phone not being defective.

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The probability is 0.3721 or 37.21%.

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3 years ago
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IRINA_888 [86]

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b and c

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