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Zina [86]
3 years ago
10

In the diagram of circle o, what is the measure of ZABC? O 30° O 40° O 50° O 60

Mathematics
2 answers:
denpristay [2]3 years ago
7 0

Answer:

30°

Step-by-step explanation:

Line AB and BC are tangents to the given circle.

\angle \: ABC =  \frac{1}{2} ( 210 - 150)

\angle \: ABC =  \frac{1}{2} (60) = 30 \degree

Alternatively, <ABC and <AOC are supplementary because AB and BC are tangents.

\angle \: ABC  + 150 \degree = 180 \degree

\angle \: ABC = 180 \degree - 150 \degree = 30 \degree

The correct choice is A.

netineya [11]3 years ago
3 0

Answer:30

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

This is an example of a simultaneous equation.

First write this word problem as equations, where x is the "first number" that you've mentioned and y is the "second number".

x + 2y = 14  (equation 1)

2x + y = 10  (equation 2)

This is solved using the elimination method.

We need to make one of the coefficients the same - in this case we can make y the same. In order to do this we need to multiply equation 2 by 2, so that y becomes 2y.

2x + y = 10 MULTIPLY BY 2

4x + 2y = 20 (this is now our new equation 2 with the same y coefficient)

Now subtract equation 1 from equation 2.

4x - x + 2y - 2y = 20 - 14  (2y cancels out here)

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Now we substitute our x value into equation 1 to find the value of y.

2 + 2y = 14

2y = 12

y = 6

Hope this has answered your question.

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Step-by-step explanation:

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