Asap. quadrilateral cdef is inscribed in circle a. if the m∠c = 7x + 11° and m∠e = 7x + 1°, what is the measure of ∠e?

a) 95
b) 99
c) 81
d) 85

The answer is D

Step-by-step explanation:

∠C + ∠E = 180°(consecutive angles)

7x +11° + 7x + 1° = 180°

14x + 12° = 180°

14x = 168°

x = 12°

∠E = 7x + 1°

= 7(12°) + 1

= 85°

Since angle C and angle E are opposite to each other and C and E are vertices of a cyclic quadrilateral,

m∠C + m∠E = 180°

7x + 11° + 7x + 1° = 180°

14x + 12° = 180°

14x = 168°

7x = 84°

∠E = 7x + 1°

∠E = 85°

Therefore, the answer is option D.

I hope this helps! If you have any doubts, feel free to ask.

6

step-by-step explanation:

(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.