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 sum of three consecutive odd numbers is 69. What are the three numbers?

n200080 [17]

Answer:

21, 23, 25

Step-by-step explanation:

Ok, so this one may seem a little tricky, so I'll try to explain it as best as I can. :)

So because they are consecutive odd numbers, that means they are odd numbers that are one after the other. This means each number is 2 apart from the next. So by using this, we know that there is a difference of 6 between the highest and lowest number. Now let's try and make an equation:

3o + 6 = 69

Now in order to get O by itself we have to subtract 6 from both sides:

3o = 63

Now we just have to divide by three on both sides:

o = 21

So now, we know that the lowest number is 21, but we have to add 2 to get 23, and then another 2 to get 25.

Hope this helps :)

5 0

3 years ago

Read 2 more answers

Company A is offering 2 1/2 pounds of chocolate for $32.50, while Company B is offering 2 3/4 of the same chocolate for $35.50

Ivan

Company B offers the lowest price.

Company A:
32.50/2.5 =
13

Company B:
35.50/2.75 =
12.90

3 0

3 years ago

Read 2 more answers

Which group of numbers is listed from least to greatest?

Tom [10]

Answer:

a) -8, -6, -1, 5,8

Step-by-step explanation:

*View the image attached*

As you can see, the further left on the number line, the smaller the number becomes.
The further right on the number line, the bigger the number becomes.

Hope this helps!

3 0

2 years ago