1)an exam worth 172 points contains 30 questions. some questions are worth 2 points, and the others are worth 9 points. how many 2 point and 9 point questions are on the test?

2) tickets to the fair cost $6 for children and $13 for adults. on saturday 163 people
enter the fair and they collected $1566. what number of children and what number
of adults attended?

3) tickets at a particular movie theater have different rates for adults and children.
on saturday the theater sold 8 adult tickets and 7 child tickets for $132. the next
day, the theater sold 4 adult tickets and 5 children tickets for $72. what is the price
for the adult ticket and the price for the child ticket?

Which statements regarding the diagram are true? check all that apply.

Asmall (but heavy) particle placed in a glass of water will follow a zigzag motion because the particle will bounce off of the water molecules it meets. this is called brownian motion. a physicist simulates this on a computer, by varying the distance a particle can travel (called the mean free length), on average, before it collides with a water molecule and assigning the change in motion to be one of 8 directions, each with a similar probability. by running the simulated particle (with the same mean free length) many times she determines that it should take 15 seconds, on average, for the particle to fall to the bottom, with a standard deviation of 1.5 seconds. next she lets a real particle fall through a glass of water and finds that it took 18 seconds. what does she conclude, and why?

Given: m∠ adb = m∠cdb ad ≅ dc prove: m∠ bac = m∠bca lol