Study the diagram of circle C. In circle C, a circumscribed angle, ∠XYZ, and a central angle, ∠ZCX, intercept XZ⌢.

Circle C with the angles as described in the text. Point P lies on major arc X P Z.

If mXPZ⌢=271∘, and m∠XYZ=(4x+15)∘, then x= [blank] −−−−−−.

Enter your answer as the number that correctly fills in the blank in the previous sentence, like this: 42

answer: the answer is one of

step-by-step explanation:   we are given to write a proper fraction where the whole is divided into an even number of equal parts less than ten, and an odd number of those parts exist.

an even number less than 10 may be one of 2, 4, 6 or 8. so, the whole may be one of these four evens.

now, an odd number of these parts must exist, so the numerator must be an odd number, one of 1, 3, 5 or 7. it cannot be 9 because then the fraction will become improper.

thus, our fraction may be one of the following

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10

answer: what are the following choices