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mestny [16]
3 years ago
8

If the scale factor between trapezoid ABCD and trapezoid is GHIJ is 2, how many feet will side GJ be?

Mathematics
1 answer:
professor190 [17]3 years ago
8 0

Kindly find required figure in the picture attached below :

Answer:

14 feets

Step-by-step explanation:

From Trapezoid ABCD ;

The longer base, AD = 7 feets

Shorter Base ; BC = 5 feets

The Trapezoid GHIJ

Shorter Base = HI

Longer base = GJ

Given that the scale factor between ABCD and GHIJ is 2 ; then

GJ is similar to AD

Hence, side GJ = 2 * length of AD

GJ = 2 * 7 = 14 feets

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6 0
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(½) (6x + 3) = 7 – (3x + 1)
erastovalidia [21]

\tt Step-by-step~explanation:

To solve for x, we have to remember to isolate the variable.

\tt Step~1:

For 1/2, we can make that 0.5, since their values are equivalent. Our equation:

\tt (0.5)(6x+3)=7-(3x+1)

Let's distribute the 0.5 first.

\tt 0.5*6x=3x\\0.5*3=1.5

\tt Step~2:

Now, let's simplify the right side of the equation. We have to distribute the negative to 3x and 1.

\tt -1*3x=-3x\\-1*1=-1

Then, we simplify the entire expression.

\tt 7-3x-1=-3x+6

\tt Step~3:

Our equation now:

\tt 3x+1.5=-3x+6

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\tt 3x(+3x)+1.5=-3x (3x)+6\\6x+1.5=6

\tt Step~4:

Let's do the same thing we did in Step 3 to 1.5. Subtract 1.5 on both sides of the equation.

\tt 6x+1.5(-1.5)=6(-1.5)\\6x=4.5

\tt Step~5:

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\tt \frac{6x}{6} =x\\\frac{4.5}{6}= 0.75~or~\frac{3}{4}

\large\boxed{\tt Our~final~answer:~x=0.75~(or~\frac{3}{4})}

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8 0
3 years ago
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