Quadrilateral opqr is inscribed in circle n, as shown below. which of the following could be used to calculate the measure of ∠qro?

a. m b. m c. m d. m
m< is measure of angle

answer:

step-by-step explanation:

we have been given that quadrilateral opqr is inscribed in circle n. we arre asked to find the measure ∠qro.      

since we know that opposite angles of cyclic quadrilateral are supplementary, so we can set an equation to find the value of x as shown below:  

upon substituting the value of x in the expression for measure of ∠qro, we will get,

therefore, the measure of angle qro is 64 degrees.

(a) {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …}

(b) $59 398

step-by-step explanation:

(a) the annual sequence of profits

aₙ = a₁rⁿ⁻¹

the model for the sequence of profits is {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …} .

(b) profit after 15 yr

  a₁ = $ 30 000

  r = 1.05

a₁₅ = 30 000 × 1.05¹⁴

a₁₅ = 30 000 × 1.979 93

a₁₅ = $59 398

the profit in year 15 will be $59 398.