If the statue of liberty were 325 feet taller it would you be just as tall as the gateway arch in St. Louis the height of the Statue of Libe

Question

If the statue of liberty were 325 feet taller it would you be just as tall as the gateway arch in St. Louis the height of the Statue of Liberty is 10 feet less than half of the height of the gateway arch how tall is each structure

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Diễm Thu 4 years 2021-08-06T13:54:43+00:00 1 Answers 20 views 0

Answers ( )

  1. danthu
    0
    2021-08-06T13:56:30+00:00
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    Answer:

    Gateway: 630

    Statue:    305

    Step-by-step explanation:

    Gate way Arch = x

    Statue of Liberty + 325 =  x

    1/2 (x)-10 =  Statue of Liberty

    Combine the two equations into one by substitution

    1/2(x) – 10 + 325 = x                 Combine the left

    1/2 (x) + 315 = x                        Subtract 1/2 x from both sides

    315 = x – 1/2 x                          Combine the right side

    315 = 1/2 x                                Multiply by 2

    630 = 1/2 x times 2

    x = 630

    ================]

    Gateway arch = 630 feet

    Statue  + 325 = 630

    Statue =  630 – 325

    Statue = 305

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