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iVinArrow [24]
3 years ago
8

Find the value of x.

Mathematics
1 answer:
asambeis [7]3 years ago
7 0

Answer: 3

Step-by-step explanation:

4x+23=7x+14

4x-7x=14-23

-3x=9

x=9/3

x=3

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Mary walks from comer D to comer E to comer F on a city block that measures 264 feet wide and 900 feet long. Kate walks
Y_Kistochka [10]

Answer:

Difference between the distances traveled by Mary and Kate = 226 feet

Step-by-step explanation:

By applying Pythagoras theorem in right ΔDEF,

(DE)² + (EF)² = (DF)²

By substituting DE = 264 feet and EF = 900 feet

(264)² + (900)² = (DF)²

DF = √(69696+810000)

     = √879696

     = 937.92

Distance traveled by Kate diagonally = 938 feet

Distance traveled by Mary = DE + EF

                                            = 264 + 900

                                            = 1164 feet

Difference between the distances traveled by Mary and Kate = DF - (DE + EF)

= 1164 - 937.92

= 226.07

≈ 226 feet

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