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Which Euler diagram could be used to determine whether the argument is valid or invalid. All students who study get better grades.Roger gets better grades. ∴ Roger is a student who studies.

Find the measure of the angles.∠A = (2x + 1)°, ∠B = (4x + 5)°

Decide whether ⊆, ⊂, both, or neither can be placed in the blank to make a true statement. {c, z} ________ {z, a, y, b, x, c}

Let U = {q, r, s, t, u, v, w, x, y, z} A = {q, s, u, w, y} B = {q, s, y, z} C = {v, w, x, y, z}. List the elements in the set.(A ∪ B)’

Solve the problem.A parking area that is to be resurfaced is shaped like a trapezoid. The bases are 80 feet and 110 feet, and the height is 50 feet. What is the cost if the price of the resurfacing is $1.05 per square foot?

BONUS QUESTION: Draw an appropriate Venn diagram and use the given information to fill in the number of elements in each region. (Hint: start with the intersection.) What is the cardinality of the universe, n(U)? n(A) = 14, n(B) = 21, n(A ∪ B) = 25, n(B’) = 9

Use the Venn diagram shown to answer the question. Which regions represent set F?

For the given pair of similar triangles, name the corresponding side or angle in the other triangle.∠ B

Let U = {q, r, s, t, u, v, w, x, y, z} A = {q, s, u, w, y} B = {q, s, y, z} C = {v, w, x, y, z}. List the elements in the set.B ∪ C

Choose the best answer (several may be correct – which is the best).Given that p ∨ q is false, what can you conclude about the truth values of p and q?