If x=100, what is the value of y ?

The value of y° = 80°

Step-by-step explanation:

Given

m∠A = 20

m∠B = x°

as

x = 100,

so

m∠B = 100

We know that the sum of angles of a triangle is 180°.

Thus, the m∠C of the triangle ABC can be calculated as:

m∠A + m∠B + m∠C = 180°

20° + 100° + m∠C = 180°

                    m∠C = 180° - 120°

                              = 60°

As we know that Vertical angles are always congruent.

In other words, m∠C is common in both triangles ΔABC and ΔCDE

m∠C = 60°

m∠E is also given.

i.e. m∠E = 40°

as

m∠D = y°

So, we have to determine m∠D in order to determine y°.

We know that the sum of angles of a triangle is 180°.

Thus, using the values of the angles ΔCDE

i.e.

m∠C + m∠D + m∠E = 180°

60° + y° + 40° = 180°

y° = 180° - 100°

y° = 80°

Therefore, the value of y° = 80°

domain is all the x values included in the

0 ≤ x ≤ 2

range is all the y values of the graph

-2 ≤ y ≤ 2

***keep in mind that there are different ways to show domain and range

hope this !

~just a girl in love with shawn mendes

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above