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3 years ago

A scale model of a school bus is 3 inches long. The actual school bus is 45 feet long. Which statement(s) are true?

Mathematics

1 answer:

BlackZzzverrR [31]3 years ago

6 0

Answer:

The scale of the model is 1 in.:15 ft.

Step-by-step explanation:

In order to find this, first express the terms that you know.

3 in.:45 ft.

Now simplify by dividing both by the greatest common factor, which in this case is 3.

1 in.:15ft.

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earnstyle [38]

Answer:

$\angle 1 = 45$ degrees

Step-by-step explanation:

Sum of 3 angles in a triangle is 180..

The angles given are:

7x + 12

So we sum to 180 and write:

$60+7x+12+\angle 1=180\\72+7x+\angle 1=180\\7x+\angle 1=108$

Also, straight angle is 180 degrees, thus Angle 1 and (14x + 9) angle is sum to 180, thus we can write:

$14x+9+\angle 1=180\\14x + \angle 1=171$

Or we can write this as:

$14x + \angle 1=171\\\angle 1 = 171 - 14x$

We substitute this expression for Angle 1 into 1st equation we got and solve for x first,

$7x+\angle 1 = 108\\7x+( 171 - 14x)=108\\-7x=-63\\x=9$

Since x = 9, the angle "14x + 9" would be:

14(9) + 9 = 135

Hence Angle 1 would be:

$\angle 1 + 14x + 9 = 180\\\angle 1 + 135 = 180\\\angle 1 = 45$

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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