Find the value of the marked angles in each of the following ( see image ). Please show workings.

The only given angle is 126°.

The angle to look for is marked by “))”​

the value of the missing angle is 117°

Step-by-step explanation:

the reflex angle on centre

=》 360° - 126°

( since, their sum is equal to 360° )

=》234°

so, the reflex angle measures 234°

now, the missing angle =

=》117°

( because the the angle made by the arc on centre is double the angle made at the circumference by the same arc )

54 km / hours

step-by-step explanation:

we need to convert seconds to hours

60 seconds = 1 minutes

60 minutes = 1hour

15 m         60 second   60 minutes

  * *         = 54000 meters/ hour

second     1 minute             1 hour

now we need to convert meters to km

1000 m = 1 km

54000 m       1 km

*   = 54 km / hours

hour               1000m

(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.