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40 votes
40 votes
Can you solve this for me please?​

Can you solve this for me please?​-example-1
User Scholle
by
3.0k points

1 Answer

17 votes
17 votes

Answer:

19: 106

20: 79

21: 70

Explanation:

Circle upper left

The central angles all add up to 360 degrees

BC + CD + 148 = 360

But CD = BC

2BC + 148 = 360 Subtract 148 from both sides

2BC = 360 - 148 Combine

2BC = 212 Divide by 2

BC = 106

20

3 of the 5 arcs are marked as being equal.

Let each of them be called = x

3x + 41 + 82 = 360 Combine

3x + 123 = 360 Subtract 123 from Both sides.

3x = 360 - 123

3x = 237

x = 237 / 3

x = 79

BC = 79

21

Unless DE and FC are diameters, this can't be solved. I will assume they are.

FB + 48 + 22 = 180.

FB + 70 = 180

FB = 110

===========

FC = FB + BD + DC

180 = 110 + 22 + DC

180 = 132 + DC

DC = 180 - 132

DC = 48

===========

BC = BD + DC

BC = 22 + 48

BC = 70

User Sudcha
by
3.1k points