Segments AB, DC, and EC intersect at point C. Angle DCE measures 148. Find the value

x = 16°

Step-by-step explanation:

We can see that AB is a straight line. The sum of angles on a straight line adds up to 180°

∠ACD + ∠DCE + ∠ECD = 180° (sum of angles on a straight line)

∠ACD = x, ∠DCE = 148,  ∠ECD = x

substituting the respected values for the angles gives:

x + 148 + x = 180

2x + 148 = 180

subtracting 148 from both sides:

2x + 148 - 148 = 180 - 148

2x = 32

Dividing both sides by 2, to get x:

2x/2 = 32/2

x = 16°

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

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!