1) The measures of the opposite angles of an inscribed quadrilateral are supplementary, add up to 180.
That means that angle ROP and angle RQP are supplementary.
We can add them and set them equal to 180 so that we can solve for x first.
∠ROP + RQP = 180
x + 17 + 6x - 5 = 180
7x + 12 = 180
7x = 168
x = 24
Now use the 24 for x and solve for the measure of angle ROP.
∠ROP = x + 17
∠ROP = 24 + 17
∠ROP = 41
The answer is A
2) The answer is A.
Hope this helps :)
Answer:
4x+1
Step-by-step explanation:
Ok, so it will be easier to write it out. "The sum of one and the product of four and x" written out is like this: 4x+1, because 4 is the coefficient with x. I am assuming you need the algebraic expression. Hope this helps!
The sixth term of an arithmetic sequence is 6
<h3>How to find arithmetic sequence?</h3>
The sum of the first four terms of an arithmetic sequence is 10.
The fifth term is 5.
Therefore,
sum of term = n / 2(2a + (n - 1)d)
where
- a = first term
- d = common difference
- n = number of terms
Therefore,
n = 4
10 = 4 / 2 (2a + 3d)
10 = 2(2a + 3d)
10 = 4a + 6d
4a + 6d = 10
a + 4d = 5
4a + 6d = 10
4a + 16d = 20
10d = 10
d = 1
a + 4(1) = 5
a = 1
Therefore,
6th term = a + 5d
6th term = 1 + 5(1)
6th term = 6
learn more on sequence here: brainly.com/question/24128922
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