Answer:
Both angles have a measure of 134degrees, y = 27degrees.
Step-by-step explanation:
As per what is given in the problem:
There are 2 parallel lines, both are intersected by a transversal.
Remember the theorem, when two parallel lines are intersected by a transversal, then the alternate exterior angles are congruent.
The is meanse that:
3y + 53 = 7y - 55
Solve using inverse operations:
3y + 53 = 7y - 55
+55 +55
3y + 108 = 7y
-3y -3y
108 = 4y
/4 /4
27 = y
Now, substitute back in to find the value of the angle:
3y + 53
y = 27
3 ( 27 ) + 53
81 + 53
= 134
Since the angles are alternate exterior, they are congruent, hence both angles have a measure of 134degrees.
The recursive formula
can be used to generate the shown sequence
Step-by-step explanation:
Recursive formula is the formula that is used to generate the next term of a sequence using previous term.
The general form of arithmetic sequence's recursive formula is:

Given
5,-1,-7,-13,-19
Here

First of all we have to find the common difference of the sequence.
So,

Putting the value of d in the general recursive formula

Hence,
The recursive formula
can be used to generate the shown sequence
Keywords: Sequence, arithmetic sequence
Learn more about arithmetic sequence at:
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The answer to this is 10.
Step-by-step explanation:
4x²-9
4x²+6x-6x-9
4x²+6x-6x-9
2x(2x+3)-3(2x+3)
2x(2x+3)-3(2x+3)
(2-3)(2x+3)
solution
(8x-3)(2x+3)
To find the value of x let's make the situation a bit easier
3x+10+70=180
3x+80=180
3x=180-80
3x=100
x = about 33.33