how many solutions does each system of equation have?? explain how you know without solving the system
1 answer:
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Answer:
The following measurements are:
(Option #4)
(Option #7)
(Option #5)
(Option #2)
Step-by-step explanation:
To begin, we can find the measure of by applying the inscribed angle theorem: an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.
Since the intercepted arc (RS) is 46 degrees, we have:
Next, we can find the measure of arc QT using the same theorem. So,
Notice that the chord RT is actually a diameter. From the theorem about the inscribed angle including a diameter, we know that the intercepted arc will have a measure of . Since the arc ST is part of the arc RST, and we know RS is
, we can set up and solve this equation:
We can use the same idea to find RQ. We know that RQT is and QT is
, so: