What is the simplified value of $\frac{10! + 11! + 12!}{10! + 11!}$?

12

Step-by-step explanation:

We can factor out 10! on the numerator and the denominator,.

This gives: 10! (1 + 11 + (11 * 12)) / 10! (1 + 11)

This is because 10! * 11 is equal to 11! meaning we can factor out 10!.

10! * 11 * 12 also equals 12! which is why we can factor 10! out of that too.

Seeing as 10! is at the top and bottom we can cancel those out.

This leaves us with: 144 / 12 which is equal to 12.

f-1(x)= cube root of 19x squared/x

step-by-step explanation:

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°