What is the value of theta in the given triangle?

Select the true statements from the list below. (Select all of the true statements.)

The County Commissioner wants to explore whether Cloudy County residents feel safe in their homes. A survey of Cloudy County residents is commissioned. Residents are divided into 6 groups, based on the town they live in. A simple random sample of n=100 is taken from each group (so, a total of n=600). Respondents are asked to rate how safe they feel on a scale of 1 to 5 with 1 being very safe and 5 being very unsafe. Information is also collected on the town environment. One of the results of this study is that residents in towns with more green space felt safer. Make sure to address and label each question in the space below:  a. What type of study is this (experimental or observational)? (4 points)  b. What sampling technique is used to obtain the sample of residents (simple random sampling, stratified random sampling, cluster random sampling, or multistage)? (2 points)  c. Propose an improvement to this study. Your improvement should lead to results that are more trustworthy and/or useable for public policy decisions. (6 Points)  

Match each trigonometric function with its equivalent ratio.

Match up the information below for a quadratic function  f(x)=a x2+b x+c{“version”:”1.1″,”math”:”f(x)=a x2+b x+c”}  which can be written in the standard form  f(x)=a(x-h)2+k{“version”:”1.1″,”math”:”f(x)=a(x-h)2+k”}.

The two typical methods for solving a system of equations are substitution and elimination. Match each of these methods below with the first step in its solving process.

What two equations must be solved to find the solutions to the equation  |2x-7|=9{“version”:”1.1″,”math”:”|2x-7|=9″}?

Assume that f(x) is a continuous function with x=a & x=a+h in its domain.   Which of the following are true statements about the average rate of change of f(x) on the interval [a, a+h]? (Select all of the true statements.)

Select all of the true statements from the list below. 

Match each function with the correct graph feature. (Each choice will be used once.)