True or false? Justify your reasoning.

c. All equilateral triangles are congruent.

The first four terms of a sequence are given. Determine whether they can be the terms of an arithmetic sequence, a geometric sequence, or neither. If the sequence is arithmetic or geometric, find the fifth term.

$$\frac34,\ \frac12,\ \frac13,\ \frac29,\ \ldots$$

Escribe oraciones en las que compares dos películas que hayas visto usando estas frases comparativas.

menos de los/de las que

Completa la siguiente frase con por o para.

Ellos van a estar con nosotros ______ un mes.

In the exercise, name the property of equality that the statement illustrates. If AM = MB, then AM + 5 = MB + 5.

Enter the following transactions on page 3 of the journal given in the Working Papers.

Transactions:

Feb. 25. Received notice from the bank of a dishonored check from Roland Ewing, $275.00, plus$30.00 fee; total, $305.00. Memorandum No. 414.
     26. Paid cash on account to Drew Geist,$310.00, using EFT. Memorandum No. 415.
     27. Purchased supplies, $67.00, using a debit card. Memorandum No. 416.

Prove the given using the principle of mathematical induction. (Assume n is a positive integer.)

$$\dfrac{1}{2 !}+\dfrac{2}{3 !}+\cdots \dfrac{n}{(n+1) !}=\dfrac{(n+1) !-1}{(n+1) !}$$

Womack Company is made up of two divisions, A and B. Division A produces a widget that Division B uses in the production of its product. Variable cost per widget is $0.50; full cost is$ 0.70. Comparable widgets sell on the open market for $1.10 each. Division A can produce up to 2 million widgets per year but is currently operating at only 50 percent capacity. Division B expects to use 100,000 widgets in the current year. Required:

1. Determine the minimum and maximum transfer prices.
2. Calculate Womack Company's total benefit of having the widgets transferred between these divisions.
3. If the transfer price is set at$ 0.50 per unit, determine how much profit Division A will make on the transfer. Determine how much Division B will save by not purchasing the widgets on the open market.
4. If the transfer price is set at $ 1.10 per unit, determine how much profit Division A will make on the transfer. Determine how much Division B will save by not purchasing the widgets on the open market.
5. What transfer price would you recommend to split the difference?

In each of the following, form the conjunction and the disjunction of $p$ and $q$. (b) $p$ : I am rich. $\quad q$ : I am happy.

Tell whether the statement is sometimes, always, or never true. Support your answer with a sketch.

In an isosceles triangle, the altitude and median from the vertex angle are the same line as the bisector of the vertex angle.

Find the degree of each polynomial.

$$14 a b c d-6 d^3$$

Evaluate the expression for $c=5$ and $d=8$

$$d^2-c^3$$

Leamos Read each of the following statements and identify the person from the dialogue above that is being described.

Van a buscar la carpeta.

La oficina de Jorge está cerrada durante el mes de Julio. Antes de salir ellos tienen una fiesta y hablan de lo que habían hecho antes de empezar la celebración. Completa la frase con la forma correcta del verbo entre paréntesis en el pluscuamperfecto.

Uds. ________ (escribir) una carta al tesorero.