6) Prove: If AABC and AADB are both isosceles with AB = AC and AD = BD then they are similar triangles. Also prove AB2 = BC · BD.

Q: Complete: Through a point outside a line, ___ line(s) can be drawn parallel to the given line, and…

A: Given: Through a point outside a line, ___ line(s) can be drawn parallelto the given line, and ___…

Q: Answer the following if it is Valid or not: Some professors wear glasses. Mr. Einstein wears…

A: Given statements are,1. Some professors wear glasses.2. Mr. Einstein wears glasses.

Q: 3) Convert the following mathematical expressions into statement 6x-5

A: Translating the mathematical expression into words

Q: The houses of a row are numbered consecutively from 1 to 49. Show that there is a value of x such…

A: Ans:- x= 35 I have done solution with diagram so that you can visualise this problem...and in this…

Q: Classify each of the following statements as true or false. If false, tell why. 5 is a divisor of…

A: We need to classify each of the following statements as true or false. If false, tell why. 1.5 is a…

Q: 5. Use proof by cases to prove the statement: If a and b have the same sign, then |a+b| = |a| + |b|.

A: The given problem is to prove the given statement by using the proof the cases. The given statement,…

Q: x - dx x² +1

A: We are required to find∫xx2+1dx

Q: 1) 20 more than a number, n 2) A number, t, minus 10

A: 1) The given statement is "20 more than a number n". Convert the given statement into a mathematical…

Q: If a and b are any real numbers, is the statement a * b = b * aalways true? Why or why not?

A: Given that, a and b are any real numbers.   The objective is to decide whether the statement a×b=b×a…

Q: Evaluate the following expression. 5 5 (EEi+E? + 3)) i=1 i=1 i=1

A: To evaluate the given expression, for i= 1, 2, 3, 4, 5

Q: Translate the mathematical formula into program code using excel S = S, + v̟t + ;) at?

A: We need to use the excel and translate the formula for S using the variables S0, v0, t, a. The excel…

Q: D Express the following 3 complex form; e u! wof Jejod u! !h + e b.) -3+4:

A:

Q: Find, if possible, the following: a) Any number a for which "a < a" is true. b) Any numbers a and b…

A: (a)  given :  for any number 'a'  for  which ''a&lt;a'' is true is not…

Q: State whether each statement below is either true or a. {1} c (0,2) b. {1} € (0,2) and C123. d (42…

A:

Q: Which of the following mathematical/logical operations can only be performed for a variable measured…

A: Levels of measurement: The level of measurement is describes the classification of the nature of…

Q: Find the difference of each of the following using a concrete model a. 432 five-121five b. 573eight…

A:

Q: -2 b) 273 a) 8

A:

Q: In the morning a group of hikers hiked 4 7/8 miles, took a break and then hiked 1 2/3 miles.The…

A: Given: In morning hikers hiked, 478 miles plus 123 miles. In afternoon, the group hiked 356 miles…

Q: ex: Find the number of wolds of length 3 thet Can be written using the lettels A, B, GD and E Such…

A: There are total 5 letters and we have to make words of length 3 using this letters.

Q: If a, b, and c are real numbers, the associative property of multiplication states that = a(bc).

A: Given a, b, c are real numbers.

Q: Simplify. Assume that all variables represent postive  Real numbers

A: As per our guide lines, we'll able to solve only one question. Please upload the question again.

Q: not for a grade zoom in to see

A: We have given the graph                                      y=12x+3

Q: Proposition 4.13. Let F be the CDF of a non-negative real-valued r.v. X. Then, E(X) = √ F(a) dr. IR+

A: As per the question we are given the cumulative distribution function (CDF) F(x) of a non-negative…

Q: If d is g(a, b) and c is another natural number which also divides both a and b. Then c also divides…

A: Given that c divides a and b ,d belongs to( a ,b) so assume a,b are 4,8 and c is 2 and d is 6

Q: B. Find a number that provides a counterexample to show that a given statement is false x, x³…

A: For all number x, (x+1)(x-1) over (x-1) is equals to x+1

Q: if x = 6, then x + 4 < x − 26 Select one: O True O False

A:

Q: a. |15| b. |15| +4 c. 3- | 17| d. |12|+|12|

A:

Q: Assume a, b and c are real numbers greater than 1. Find p, q and r so that the following equality…

A:

Q: A realtor uses a lock box to store the keys to a house that is for sale. The access code for the…

A: given data four digit code: first digit cannot be 3 and last digit must be odd.  no. of codes…

Q: let a and b be real numbers. Prove by contraposition that, if a + b is greater than or equal to 100,…

A: Given that a and b be real numbers And a+b≥100 Then we have to prove that a&gt;39 or b&gt;60. Let…

Q: Write a paragraph proof for the following information: Jim is 45 years old. Jim and Ted are the same…

A: Given problem Given that   Jim is 45 years old. Jim and Ted are the same age. Ted and Fred are the…

Q: Better batteries claim one of their AA batteries will run a toy car for at least 12 hours, to the…

A: Better batteries claim one of their AA batteries will run a toy car for at least 12 hours, to the…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.