Find the value of x. the value of x is ???

(simplify your answer. type an exact answer, using radicals as needed.)

x= 2√37

Step-by-step explanation:

First thing you want to do is find the length of the missing side where the the right angle is at. You can find that with the pythagorean theorem of the other triangle, since you are already given 2 sides.

Pythagorean Theorem

a=2

b=?

c=2√2

Plug in and solve for b.

2^2+b^2=(2√2)^2

4+b^2=8

b^2=4

b=2

Now use the pythagorean theorem again to find your x side.

a=2

b=12

c=?

2^2+12^2=c^2

4+144=c^2

148=c^2

c=√148

c=2√37

7. 153.86 ft

8. 12.56 ft

9. 78.5 m

10. 379.94 in

11. 132.665 m

12. 12.56 yd

13. 226.865 ft

14. 113.04 ft

15. 63.585 ft

16. 254.34 m

17. 50.24 cm

step-by-step explanation:

7.

8.

9.

10.

11.

12.

13.

14.

15.

16.

17.

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!