A group of 5 students was asked, "How many hours did you watch television last week?" Here are their responses:
2 answers:
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Observe the given figure.
Here, angle T and R are the inscribed angles.
And sum of inscribed angles is half of measure of intercepted arcs.
Since, the measure of intercepted arcs is 360 degrees.
Therefore,
Hence, the sum of the two angles is 180 degrees.
Therefore, these are the supplementary angles.
Therefore, angle T and angle R are supplementary angles.
Hence, proved.
The number written in standard form is 24100
Step-by-step explanation:
An object is said to be written in scientific notation when it is written in the following form:
where
m is the coefficient
n is the exponent of the power of ten
The number can be rewritten in standard form by writing the coefficient and then moving to the right (or to the left) the decimal point by n positions if n is positive (or negative).
In this problem, the number is
So we have
m = 2.41
n = 4
Therefore, we have to write 2.41 and then move the decimal point 4 positions to the right: so we get
Learn more about scientific notation:
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Answer: The answer is (b) a ≤ 3 + 2j; j ≥ 14, a ≤ 35.
Step-by-step explanation: Given that Anna is no more than 3 years older than 2 times Jamie’s age. Jamie is at least 14 and Anna is at most 35. We are to select the correct combination of inequalities among the given options.
Also, 'a' and 'j' are the possible ages of Anna and Jamie respectively. Therefore, according to the given information, we can write
Thus, the correct option is (b) a ≤ 3 + 2j; j ≥ 14, a ≤ 35.