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: . If an+2 = 6an+1 - 8an + 3 and ao = 3, a1 = 7, then a6

A: We have to solve given problem:

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: 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: Write the number 6 as a sum of three natural numbers in several different ways, and, in each sum,…

A: To be solved - Number 6 as a sum of three natural numbers in several different ways, and, in each…

Q: P+ हे-a+7 +4x 15 Put +axŅ if

A: Given rt→=ti^+lncostj^ We have to write a→ in the form a→=aTT→+aNN→ Where, aT=ddtv and aN=aT2+a2…

Q: b b [²xettdx = = 1²e+du O True O False

A:

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: If x1 = x and x2 = x + Ax, what is Ax?

A: We find ∆x as, x1=xx2=x+∆x⇒x2=x1+∆x⇒x2-x1=x1+∆x-x1⇒x2-x1=∆x⇒∆x=x2-x1

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: What is the last digit of 52021 + 62021 - 2 2021 a. 3 b. 5 c. 7 d. 9

A: Let us try to establish a pattern between the exponent and the last digit for 2, 5, and 6.

Q: From a point 4 miles north of a cell tower, a hiker walks 2.5 miles west. How far is the hiker from…

A: Let us first make a diagram to understand the problem better. The hiker is initially at A, 4 miles…

Q: not for a grade zoom in to see

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

Q: ngle of the foi triangles: a) 45 b)

A: sum of the angle of triangle is 180°

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: 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…

Statements and Logic

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