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Elodia [21]
2 years ago
6

Andy solve an equation as shown below. What error did Andy make?

Mathematics
1 answer:
bixtya [17]2 years ago
3 0

Answer:

Step-by-step explanation:

Whatever you do to the left you must do to the right, he multiplied 12 but forgot to multiply the -4 on the left and the + 1 on the right by the number 12

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An isosceles trapezoid with a perimeter of 42 inches. Each of the congruent non parallel sides is 5 inches long, and the trapezo
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Answer:

Longer - 20 in and Shorter - 12 in

Step-by-step explanation:

We know that when we subtract the shorter side from longer we get two cuts named  x:

2 x = a - b  => a - b = 2 x

One of this section ( x ) with height ( h ) and lateral (congruent non parallel) side ( c ) make right triangle, from which we get:

x² = c² - h²  and c = 5 in, h = 3 in

x² = 5² - 3² = 25 - 9 = 16 => x = √16 = 4 => x = 4 in

Now we will replace x = 4  in the equation  a - b = 2 · 4 = 8 and get first equation of the system.

a - b = 8

We also know that the formula for calculating perimeter is:

P = a + b + 2 c  where P = 42 in and c = 5 in

a + b = 42 - 2 · 5 = 42 - 10 = 32

Now  we get the second equation of the system:

a + b = 32

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When we add first equation to the second we get:

2 a = 40 => a = 40 / 2 = 20 => a = 20 in

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20 + b = 32  => b = 32 - 20 = 12 => b = 12 in

God with you!!!

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