Which statements about about the diagram are true? check all that apply .

Options A, C and E are true.

Step-by-step explanation:

A. x = 63° [Alternate angles]

Therefore this option is true.

B. In the triangle formed at the center opposite angle of 63° will be same as 63°. Measure of second angle is 47°.

Therefore y = 180 - (63 + 47) = 180 - 120 = 60°

Therefore option B. is incorrect.

C. ∠ Z + 63 = 180 [ supplementary angles]

∠ Z = 180 - 63 = 117°

This option is true.

D. Since ∠ Y = 60° and ∠ Z = 117°

Therefore ∠ Y + ∠ Z = 60 + 117 = 177°

This option is not correct.

E. Since ∠ x = 63° and ∠ Z = 117°

Therefore ∠ x + ∠ z = 63 + 117 = 180°

So the option is true.

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40