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Over [174]
3 years ago
13

The legs of an isosceles trapezoid have lengths of 48 - 7x and x + 8. What is the length of one of the legs?

Mathematics
1 answer:
sdas [7]3 years ago
4 0

Answer:

13 units

Step-by-step explanation:

The legs of an isosceles trapezoid are congruent, then

x + 8 = 48 - 7x ( add 7x to both sides )

8x + 8 = 48 ( subtract 8 from both sides )

8x = 40 ( divide both sides by 8 )

x = 5

Then

leg = x + 8 = 5 + 8 = 13

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Solve 7x-4 = 5x+15 for x
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\bf{Hey\ there!}

\bf{7x-4 = 5x+15}

\bf{\underline{Subtract}\ 5x\ from\ \ on \ both\ of\ your\ sides!\downarrow}

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\boxed{\boxed{\bf{Answer:x=\frac{19}{2}}}}\checkmark

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How do I find it out
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The two equations are in the slope-intercept form, y = mx + b.

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It looks like you are good up to problem 4 so I will start there. I believe this is practice worksheet featuring the pyth. theorem. The pyth. theorem is used to find the length of sides in a right triangle notable the hypotenuse (side opposite of 90 degree angle).

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From the work I see, you have a great understanding of the pyth. theorem. Keep it up!

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Veseljchak [2.6K]
She is correct
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