If m∠R = 28 , find m∠O. The figure is not drawn to scale. Help please
2 answers:
Answer: The correct option is (D) 56°.
Step-by-step explanation: In the given figure, we have
m∠R = 28°.
We are to find the measure of ∠O.
In the attached figure, we have taken another point 'P' on the circumference of the circle.
In a circle, the angles subtended on the circumference by the same arc have equal measures.
In the attached figure, ∠P and ∠R are angles on the circumference of the circle subtended by the arc QN.
So, we have
m∠P = m∠R = 28°.
Also, an angle subtended by an arc at the center is twice the angle subtended by the same arc on the circumference of the circle.
Since ∠O is the angle subtended by the arc QN at the center and ∠P is the angle subtended by the same arc QN on the circumference, so we must have
m∠O = 2 × m∠P = 2 × 28° = 56°.
Thus, the measure of ∠O is 56°.
Option (D) is correct.
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Answer:
1. Some numbers, such as , have a decimal expansion that terminates.
2. All real numbers have a decimal expansion.
5. Some numbers, such as , have a decimal expansion that repeats but does not terminate.
Step-by-step explanation:
According to the options, we have,
1. Some numbers, such as , have a decimal expansion that terminates.
It is correct as the decimal expansion of is 0.1, which terminates.
2. All real numbers have a decimal expansion.
This is also correct as both rational and irrational numbers can be written in decimal form.
3. Some numbers, such as do not have a decimal expansion
This is not correct as i.e. it has a decimal expansion.
4. Only some real numbers have a decimal expansion.
It is not correct as 2 is correct.
5. Some numbers, such as , have a decimal expansion that repeats but does not terminate.
It is correct as , which is non-terminating decimal expansion.
So, the correct options are,
1. Some numbers, such as , have a decimal expansion that terminates.
2. All real numbers have a decimal expansion.
5. Some numbers, such as , have a decimal expansion that repeats but does not terminate.