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

the ratio to boys to girls in sixth grade is 5:3 if their are 400 sixth graders how many boys are their

ohaa [14]

Answer:

250 boys

Step-by-step explanation:

sum the parts of the ratio, 5 + 3 = 8 parts

Divide the total by 8 to find the value of 1 part of the ratio

400 ÷ 8 = 50 , then

number of boys = 5 × 50 = 250

7 0

2 years ago

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