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1. Form the converse of each of the following statements. State whether the converse is true or false.
a) If I live in New York, then I live in United Statesb) If two angles are congruent, then the angles are equal in measurec) If two angles are vertical angles, then they are congruentd) If two angles are adjacent, then they have the same vertex.e) If two angles are complementary, then the sum of their measures is 90.f) If two lines are perpendicular to the same line, then they are parallel.
2. Two parallel lines are cut by a transversal. Find the measures of the angles if a pair of interior angles on the same side of the transversal:
a) are represented by (5x-32)° and (x + 8)°.b) Have measures such that one angle is 4 times the measure of the other.
If {Phi_0, Phi_1, ..., Phi_n,...} are orthogonal polynomials in which are normalised to be monic (i.e. have leading coefficient equal to 1) show that ||Phi_k||
if you make it 9 cm deep and give the sphere a radius of 16 cm. To be sure, you picture the wok as a solid of revolution, and calculate its volume with an integral. To the nearest cubic centimeter, what volume do you really get?
what is the annual campound intrest rate for an investment account modeled by the function y=12*1.18^x
The number of miles driven each day for a five-day trip. Let an ordered pair be given in the form (day, miles).
You purchase shares of a technology company and hold them for one yer. During that time the price pershare ranges from $64 to $143. Write an absolute value inequaity to represent the stock prices for that years.
Find the median number of newspapers sold.
Use the indicated property to write an expression that is equivalent to the following expression.
A bag contains 8 black balls and 6 white balls. Two balls are drawn out at random, one after the other without replacement. calculate the probabilities that The second ball is black
If a quadratic function can be used as a model, we can find such maximums or minimums by finding coordinates of the vertex. EXAMPLE 1 Fenced-In Land. A farmer has 64 yd of fencing. What are the dimensions of the largest rectangular pen that the fa..
choose one of the following pairs of items and compare and contrast the two items listed. be sure to provide examples
Find the indefinite integral of f(x) and Find the compression x when the energy - Evaluate the integrals using integration by parts.
how do you identify the vertical,horizontal asymptote and range and domain froma function and also how do you graph it?
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