Drag the ruler and protractor over the sides and angles to measure them.

Use the tool to explore the side lengths and angle

measures of the three triangles.

Select the triangles that are congruent. Check all that

apply.

triangle XYZ

triangle DEF

triangle QRP

2a+7+4ahow many terms? how many variables? any like terms? yes noif yes, which ones? what are the coefficients? any constants? yes noif yes, which ones? simplify the expression by combining like terms and constants: how many terms now?

Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."

It is given that the quadratic equation hx²-3x+k=0, where h and k are constants, has roots [tex] \beta \: and \: 2 \beta [/tex]express h in terms of k