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Arlecino [84]
3 years ago
11

Given the figure below, find the values of x and z.

Mathematics
1 answer:
N76 [4]3 years ago
5 0

Answer:

x=9

z=73

Step-by-step explanation:

Angle 107 and 8x+35 are vertical angles, so they are equal

107 = 8x+35

Subtract 35 from each side

107-35 = 8x+35

72 = 8x

Divide by 8

72/8 = 8x/8

9 =x

We also know that 107 and z are supplementary angles since they form a straight line.  This means they add to 180 degrees

107+z = 180

Subtract 107 from each side

107-107+z=180-107

z =73

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A spinner is used for which it is equally probable that the pointer will land on any one of six regions. Three of the regions ar
34kurt

Answer:

The probability it will land on green every time is \frac{1}{27}.

Step-by-step explanation:

We are given that a spinner is used for which it is equally probable that the pointer will land on any one of six regions. Three of the regions are colored red, two are colored green, and one is colored yellow.

The pointer is spun three times.

<u>As we know that the probability of an event is described as;</u>

  Probability of an event =  \frac{\text{Favorable number of outcomes}}{\text{Total number of outcomes}}

Here, the favorable outcome is that the spinner will land on green every time.

So, the number of green regions = 2

Total number of regions = 3(red) + 2(green) + 1(yellow) = 6 regions

<em>Now, the probability it will land on green every time is given by;</em>

        Probability =  \frac{2}{6}\times \frac{2}{6}\times \frac{2}{6}

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Hence, the probability it will land on green every time is \frac{1}{27}.

4 0
2 years ago
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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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Cross multiply and solve for x:

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x = 8.75

So, the cost of 7 bags is $8.75

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