in the afternoon the temperature was 52°F. A strong arctic cold front caused the temperature to drop 38 degrees in 4 3/4 hours. If the temperature continues to drop at the same rate, what will the temperature be after 2 hours

32 2/19°

Step-by-step explanation:

The decrease in temperature per hour will be calculated thus:

= (52 - 38) / 4¾

= 14°/4¾

= 2 18/19° per hour.

If the temperature continues to drop at the same rate, then the temperature after 2 hours will be:

= 38° - (2 18/19 × 2 hours)

= 38° - 5 17/19°

= 32 2/19°

Therefore, the temperature after 2 hours will be 32 2/19°.

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180