What is the value of x

Mathematics

2 answers:

DochEvi [55]3 years ago

6 0

Answer:

Step-by-step explanation:

because angle 5 is found on the same line as 45 degrees (don't remember what that's called), we can subtract from 180 to find

angle 5 = 135

angle 5 and 5x+35 are alternate interior angles, so they have the same value

135=5x+35

100=5x

20=x

Anit [1.1K]3 years ago

6 0

Answer:

Thanks for the points :3

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7,210 books in a library are organized into 3 rooms. there are 1,960 more books in the first room than in the second room. the n

Free_Kalibri [48]

Answer:

750 books

Step-by-step explanation:

Let there be "x" number of books in the 3rd room

Now,

2nd room has 3 times as 3rd room, so we can write:

Second Room = 3x

Also, there are 1960 MORE books in 1st room than 2nd room, so we can write:

First Room = 3x + 1960

In total there are 7210 books in all three rooms, thus we can write:

First Room + Second Room + Third Room = 7210

Now, replacing the first 2 equations in this, we get:

3x + 1960 + 3x + x = 7210

Solving for x:

$3x + 1960 + 3x + x = 7210\\7x=7210-1960\\7x=5250\\x=\frac{5250}{7}\\x=750$

"x" is indeed what we are looking for. Thus,

There are 750 books in the third room

7 0

3 years ago

Find all of the points on the x-axis which are 6 units from the point (−1, 1).

anyanavicka [17]

All the points that are 6 units from (-1, 1) are those on the circle
(x+1)^2 +(y-1)^2 = 36

For y=0, the two points of interest satisfy
(x+1)^2 +1 = 36
(x+1)^2 = 35 . . . . . . subtract 1
x+1 = ±√35
x = -1±√35

The points you seek are (-1-√35, 0) and (-1+√35, 0), about (-6.916, 0) and (4.916, 0).