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Elan Coil [88]
3 years ago
9

Need help asap solve for x!

Mathematics
1 answer:
ra1l [238]3 years ago
7 0

please use my image as a reference (figure not drawn to scale).

AB is a straight line and the angle of a straight line = 180°

so that means 5x + (6+x) = 180, solve for x:

5x+(6+x)=180\\5x+6+x=180\\combine like-terms

5x+x=180-6\\6x=174\\x=\frac{174}{6}

x=29°

if you want to make sure of the answer, plug in x in the equation:

5x+(6+x)=180\\5(29)+(6+29)=180\\145+35=180\\180=180

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Answer: The sample space showing the possible orders of the other three runners is

S=\{HFGI,HGFI,HIGF,HFIG,HGIF,HIFG\}

Step-by-step explanation:

Since we have given that

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Four runners are as follows:

Fran, Gloria, Haley, and Imani.

Since Haley is the first runner in the relay,

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S=\{HFGI,HGFI,HIGF,HFIG,HGIF,HIFG\}

Hence, the sample space showing the possible orders of the other three runners is

S=\{HFGI,HGFI,HIGF,HFIG,HGIF,HIFG\}

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A similar question was solved here: brainly.com/question/13939628?referrer=searchResults

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