Drag an answer to each box to complete this paragraph proof. given: triangle pqr with m∠p=(x)° , m∠q=(3x)° , and m∠r=(5x)° . prove: x = 20 by the triangle sum theorem, the sum of the angles in a triangle is equal to 180°. therefore using the given and triangle sum theorem, m∠p+m∠q+m∠r=180° . using the substitution property,

Match each function with the corresponding function formula when h(x)=5-3x and g(x)=-3+5

Farmers know that driving heavy equipment on wet soil compresses the soil and injures future crops. here are data on the "penetrability" of the same type of soil at two levels of compression. penetrability is a measure of how much resistance plant roots will meet when they try to grow through the soil. compressed soil 2.85 2.66 3 2.82 2.76 2.81 2.78 3.08 2.94 2.86 3.08 2.82 2.78 2.98 3.00 2.78 2.96 2.90 3.18 3.16 intermediate soil 3.17 3.37 3.1 3.40 3.38 3.14 3.18 3.26 2.96 3.02 3.54 3.36 3.18 3.12 3.86 2.92 3.46 3.44 3.62 4.26 use the data, omitting the high outlier, to give a 95% confidence interval for the decrease in penetrability of compressed soil relative to intermediate soil. compute degrees of freedom using the conservative method. interval: to

Oliver makes blueberry jam every year. the number of kinds of jam he makes this year can be represented by the expression 4p -9, where p is the number of pints he made last year