Complete the paragraph proof by filling in the blanks with the appropriate letter from the chart below. A. The definition of a B. The definition of a C. The definition of a parallelogram E. Opposite sides of parallelogram are congruent J. D. The definition of perpendicular lines rhombus right angle F. Diagonals of a parallelogram bisect each other G. Opposite angles of a H. The reflexive property of congruence I. The transitive SSS property of congruence parallelogram are congruent. L. ASA K. SAS М. HL N. AAS Р. СРСТС Given: ABCD is a rhombus B Prove: AC 1 BD ABCD is a rhombus. We know that AB BC by PB PB by ABCD is a parallelogram and we know that AP = PC because ZAPB ZCPB by So, AAPB ACPB by| ZAPB LCPB also form a linear pair and are supplementary. If two congruent angles are supplementary, they must each measure 90°. Therefore, ZAPB is a right angle by and AC 1 BD by

Q: Determine the HCF of each of the following list of number 14;154;28

A:

Q: Find the l.c.m of 10,12 and 20

A: Given numbers are 10, 12 and 20. We have to find the l.c.m of 10, 12 and 20. 21012202561035355515111

Q: How many different license plates have the letters J-O in that order?

A: It is given that license plates consist of four digits from 0 to 9 followed by four letters.

Q: Add the following three phasors: 10∠45˚, 4∠50˚, 20∠75˚

A: See answer below

Q: Find mZC. A B O 119 O 180 O 61 O 71 119% D

A: angle (D) = 119 ABCD is a parallelogram so we use properties of parallelogram

Q: Please DRAW a Venn Diagram on paper and solve the problem using the diagram. Insert a picture of…

A: given data  n(total) = 45 n(yellow stone) = 27 n(yosemite) = 23 n(both yellow stone and yosemite) =…

Q: Is that letter n or x?

A: Solution

Q: 6. A company produces and sells a product and fixed costs of the company are 8500000 Baisa and…

A: Given that the fixed costs of the company are 8500000 Baisa and the variable cost is (35+K)=44 RO…

Q: How many values are in the ranges of 35 to 95?

A: The range is obtained as the difference between the maximum and minimum values.

Q: Suppose that a local area network requires six letters for user names Lower- and uppercase letters…

A: Local arear require six letter for user name & Lower and upper case letters are considered the…

Q: The email address password of Engr. Moncada consists of a letter of the English alphabet followed by…

A: As there are 26 letters in alphabet (A-Z) and 10 numbers (0-9). So for password having a letter and…

Q: QUESTION 10 9 10 O 63 O 26 O 48 O64

A: It is trigonometric  function  problem.

Q: If 94 is recorded using stem-and-leaf display. The number 9 is the?

A: Given that,  the number 94 is recorded using stem-and-leaf display That is,

Q: You were tasked to draw using computer-aided drafting to draw eight different buildings along a…

A: In question, We'll find that in how many ways we draw 8 different buildings along a single line. The…

Q: How many values are in the range 35 to 95?

A: Given  Lower value = 35 Upper value = 95

Q: м -D B =L -2 and C = R. find the following: Given A = N 12 а. АС b. 2B + ст c. A-1 -1

A: Given:   (a) AC To get  element of first row and first column of AC, we take the dot product of…

Q: RULES: a. Add b. Subtract C. Multiply by d. Divide by e. Multiply by f. Divide by rocedure 5. Answer…

A: Inequality

Q: 4162 0012 3456 789d

A:

Q: 697 persons shake hands with one another at a party. How many shake hands took place? a. 242556 O b.…

A: Given x=597 Number of shake hand=X(X-1)/2

Q: Find the number of way to arrange the letters in the word ESTRANGEMENT, if identical letters must be…

A:

Q: Evaluate. 517! 614!

A: Given data:     The expression is: n=(5!7!)/(6!4!).   STEP-1 The expression for n! is,

Q: x or 15 a letter the word mother 's

A: The set is letter of word mother.

Q: shake hands with one another at a

A: Given : 716 persons shake hands with one another at a party.

Q: 20 of 21 A group of architects wish to recreate a modern pyramid like the ones built in ancient…

A:

Q: How many values are in the range of 25 to 75

A: We just have to count numbers from 25 to 75.

Q: Sammy's Salsa, a small local company, produces 20 cases of salsa a day. Each case contains 12 jars…

A:

Q: Suppose you have a sample of five observations of a variable x, which take the values 3, 0, 1, 6, 0.…

A: Given sample of five observations of a variable x is3,0,1,6,0

Q: How many values are in the range 0 to 65?

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.