I need help with this question please

Mathematics

1 answer:

Art [367]3 years ago

8 0

9514 1404 393

Answer:

Step-by-step explanation:

The sum of the measures of the two given arcs is 180°, the measure of semicircle ADC. Using this fact, we can find x and the measure of DC.

AD +DC = 180

(19x -49) +(5x +37) = 180

24x = 192 . . . . . . . . . . . add 12, simplify

x = 8 . . . . . . . . . . divide by 24

Then the measure of DC is ...

DC = 5x +37 = 5(8) +37 = 40 +37

DC = 77

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