We know that the interior angles of a trapezoid add up to 360 degrees.

Write out an equation to represent this situation;

108+108+2x+2x=360
216+4x=360
4x=360-216
4x=144
x=144/4
x=36

Therefore, the measure of x is 36 degrees.

Hope I helped :)

4 0

3 years ago

In need help in this

Lyrx [107]

Answer:

Vertex form is

$a(x - h) {}^{2} + k = y$

where (h,k) is the vertex

So our vertex form is

$a(x - 3) {}^{2} + 5 = y$

It passes through (6,0) so we have

$a(6 - 3) {}^{2} + 5 = 0$

Solve for a.

$a(3) {}^{2} + 5 = 0$

$a(9) = - 5$

$a = \frac{ - 5}{9}$

So our equation is

$- \frac{5}{9} (x - 3) {}^{2} + 5$

7 0

3 years ago

8 1/2 is to 17 as 17 11 1/2 is to 23

Stella [2.4K]

Hello from MrBillDoesMath!

Answer: Yes, (8 1/2) /`17 = ( 17 11/12) /23

** I think you meant 11 1/2 is to 23 NOT 17 11 1/2 is to 23"

Discussion:

First, 8 1/2 = 17/2 and

(17/2 ) / 17 = 1/2

Second 11 1/2 = 23/2 and

(23/2)/ 23 = 1/2

IN other words, the ratiors are the same:

8 1/2 11 1/2

------- = -------

17 23

Thank you,

MrB

5 0

4 years ago

The city's central library has 72,864 books. The library has 72 bookcases. If each bookcase has room for the same number of book

solong [7]

Answer:

There are 1012 books per bookcase

Step-by-step explanation:

To find the number of books per bookcase take the number of bookcases (72) divided by the number of books (72,864)

So;

72,864 / 72 = 1012

Hope this helps!

5 0

3 years ago