36.3k views
5 votes
Can you solve this for me please?​

Can you solve this for me please?​-example-1
User Amitabha
by
7.8k points

1 Answer

2 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 Andrew Roberts
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories