Mathematics, 19.10.2019 11:50 sanchezp0821

Is the measure of ∠1 equal to the measure of ∠2? why?

yes, because they intercept the same arc
no, because the sides of ∠2 are longer
no, because they intercept the circle at different points

Is the measure of ∠1 equal to the measure of ∠2? why? yes, because they intercept the

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Answer from: DrLIFE751

*If you analyze the problem closely yo can see the answer is option a
the answer is yes, because they intercept the same arc*

Answer from: pepehammu

The correct option is (A) Yes, because they intercept the same arc.

Step-by-step explanation: We are given a circle, with angles 1, 2 , 3 and 4.

We are to check whether the measure of ∠1 is equal to the measure of ∠2. If so, we are to state the reason.

According to a Circle's Theorem,

In a circle, the measures of the angles subtended by the same arc on the circumference of the circle are equal.

In the modified attached circle,

we can see that ∠1 and ∠2 are subtended by the same arc AB at points C and D respectively on the circumference of the circle.

Therefore, their measures must be equal.

Thus, the correct option is (A) Yes, ∠1 and ∠2 have equal measures because they intercept the same arc.

Is the measure of ∠1 equal to the measure of ∠2? why? yes, because they intercept the same arc no,

Answer from: Quest

found it xd it ok yt

Answer from: Quest

$a_1 = 1$ , and

$a_{n+1} = a_n + (n + 1)$ for $n \ge 1$

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote $a_1 = 1$ , $a_2 = 3$ , $a_3 = 6$ , so that we can call

1 the 1st term, 3 the 2nd term, 6 the 3rd term,etc.

note the following:

from the 1st term (1) to the 2nd term (3), we go up by 2,from the 2nd term (3) to the 3rd term (6), we go up by 3from the 3rd term (6) to the 4th term (10), we go up by 4, andfrom the 4th term (10) to the 5th term (15), we go up by 5.

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from $a_1 = 1$ , to get to $a_2 = 3$ , we add $2(=1+1)$

from $a_2 = 3$ , to get to $a_3 = 6$ , we add $3 (=2+1)$

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

$a_1 = 1$ , and $a_{n+1} = a_n +(n + 1)$ for $n \ge 1$

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Is the measure of ∠1 equal to the measure of ∠2? why?

yes, because they intercept the...

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