Mark has 312 books he has 11 times as many fiction books as nonfiction books how many fiction books does mark have?

There are 312 books in total.
Let 'x' represent the number of FICTION books.
There are 11x NONFICTION books and 1x FICTION books.
1x+11x=312
12x=312

Now divide 12x by 12 and 312 by 12 (whatever you do to one side of the equals sign you have to do to the other)

Once you do that you will get 1x=26
This means you have 26 fiction books. Now, you have 11 times as many nonfiction books so 26x11=286
This means you have 286 nonfiction books

To check your answer add 286 and 26 to make sure it adds to 312.

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12

Where is the problems