We know the width of the rectangle in the middle of the trapezoid is 24 (from the top of the image), so we can subtract that from the bottom width of the trapezoid to get the combined length of the bottom of both triangles.

$40 - 24 = 16$

Since this is an isosceles trapezoid, both triangle bases are the same length, so we can cut this value in half to get the length of $GT$ and $EF$

$\frac{16}{2} = 8$

Finally, we can use the Pythagorean Theorem to find the length of $AG$ :

$AG^{2} + GT^{2} = AT^{2}$

$AG^{2} + 8^{2} = 10^{2}$

$AG^{2} + 64 = 100$

$AG^{2} = 36$

$AG = 6$

8 0

2 years ago

An item that costs $50.00 is marked 20% off. Sales tax for the item is 8%. What is the final price, including tax? Show your wor

AysviL [449]

Answer:

$40 ; $43.20

Step-by-step explanation:

a) 50 * (1 - .20) = 50 * .8 = 40

b) 50 * (1 - .20) * (1 + .08) = 43.20

c) The sales tax increases the price from a by 8%

5 0

3 years ago

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