Y'all I need HELP

x = 13

arc RQ = 160°

Step-by-step explanation:

The length of smaller arc RQ is twice of the inscribed angle it sees

(5x + 15) × 2 = 10x + 30

9x + 17 + 6x - 12 + 10x + 30 = 360° add like terms

25x + 35 = 360

25x = 360 - 35

25x = 325 divide both sides by 25

x = 13 now the measure of arc RQ

10x + 30 ➡ 10 × 13 + 30 = 160°

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).