the numbers 1 to 20 are written on slips of paper and put in a hat. How many possible ways can yo draw a either an odd number or a two-digit number from the hat? a) 14 b) 16 c) 13 d) 15

Q: Determine the length of the majer CXIS and minor. 25 49

A:

Q: In the given figure, assume that BC > AB. Prove that BAC > LACB.

A: It is given that BC>AB. It is known that if two sides of a triangle are unequal, the angle…

Q: When writing a proof of the segment addition postulate where AB = 18, substitution can be used to…

A: This is a basic segment addition question

Q: 2. If AC = 32, h = 19 and C = 41°, find ZABD.

A:

Q: A figure is shown. Select the statements that, when taken alone, could be used to prove that AHIN…

A: In triangle HIN and triangle TIG. When line TG is parallel to HN Then, <IGT=<INH<I is…

Q: Write a proof in two-column form. A Given: BE = CD; BD = CE E D Prove: AABC is isosceles. B

A: to prove ABC is isosceles.

Q: Use the Pythagorean Theorem to answer each of the following: 20) 21) 7 in 15" 8"

A:

Q: 8 In AABC, AC=116 and BC =80. Find mLA to the nearest tenth B

A:

Q: How many possible triangles can be created if mA-. c = 18, and a = 9? ○0 triangles O1 triangle O2…

A: The given data is: m∠A=π6c=18a=9  To find how many possible triangles can be created.

Q: Prove if a,b > 0 then : a+b>1, to aª + bª 1 > 8

A:

Q: Hi can you help me with this math problem :)

A: We will find the area.

Q: 4. If iwo angles are congruent, then they have equal measure. 5. If a number ends in either 0 or 5,…

A: If p and q are any two statements, then the converse, inverse and contrapositive are given in the…

Q: In ANQP, n = 13 in., q = 14 in., and ZP = 68°. Determine the length of side p to the nearest inch. P…

A:

Q: Name the property of equality or congruence that justifies going from the first statement to the…

A:

Q: Show that each conjecture is false by finding a counterexample. 2. For any integer n, n° > 0. 3.…

A: # 2) given statement is n 3 > 0 , for any integer n

Q: If m<SOT = what is m<SRT? 74 in circle O

A:

Q: A diagonal in a polygon is a line segment that is drawn from a vertex to a nonadjacent vertex. If n…

A: Polygon has n sides and therefore n vertices. So total possible lines we can make = nC2 Out of which…

Q: When three squares are joined at their vertices to form a nght triangle, the combined area of the…

A: Explanation:   Area of square=(side)2By Pythagorean theorem:(longest side)2=(side1)2+(side2)2 Check…

Q: Which theorem of triangle congruency can be used to prove that AABC = AADC? O A. Angle-Side-Angle O…

A: here option (D) is true.

Q: Given ASTU and ADEF, what is mZU ?

A: Given,          A triangle is shown below :

Q: 1:Calculate the measure of one interior angle of a regular 30-gon. 2: if the measure of interior…

A: Sum of all interior angles of regular polygon is = (n-2)180°

Q: The five leaves shown are all congruent,but one differs from the others. Whichone is different and…

A: Given that all are congruent. We shall number the leaves as follows.

Q: In AABC, mzA= 45°, mzB = 63°, and BC= 24 in. What is AB to the nearest tenth of an inch? O 30.2 in.…

A: As we know the Sine Rule: asinA=bsinB=csinC   Given: m∠A=45°, m∠B=63°, BC=24 in.

Q: If AFGH = AIJK, which segment is congruent to FH? OIK O JK FG 12

A:

Q: Given that: • JU| = 60 • |A| = 23 • [B| = 24 • |C| = 30 • |AN B| = 10 • |AnC| = 11 • |BnC| = 7 •…

A: i) A∪B∪C=A+B+C-A∩B-A∩C-B∩C+A∩B∩C=23+24+30-10-11-7+2=51

Q: Given: 24 = Prove: 25 = 26 9, atements Reasons Gro en 25 26 5

A:

Q: The adjacent interior and exterior angles of a polygon are supplementary, as indicated in the…

A: a) Given that, Interior angle = n-2180n As exterior angle is supplement of interior angle. Means…

Q: 31. Distance to Nassau. Miami, Florida, is located 178 mi N 73 ° 10 'W of Nassau. Because of an…

A: Miami (M) is located of Nassau (N). The ship (C) position is of Miami andof Nassau. Draw them as…

Q: Given that AHIP AGUY, select ALL of the corresponding congruent parts. HI GU O ZP ZY PI UG O ZI ZG…

A:

Q: Prove the following is a Pythagorean Triple: (16, 30, 34)

A:

Q: 2. Is AABD = ACBD by HL? If so, state the leg(s) that allows the use of HL. yes, CD and AD O yes, BD…

A: In a right angle triangle, if Hypotenuse and length are congruent, then the triangles are congruent.

Q: The triangle sum theorem states that every triangle contains three angles that each measure 180°. O…

A:

Q: Prove that if n is a natural numbers grater than 1, then ni +1 is odd.

A:

Q: In AABC, M and N are midpoints of AC and BC, respectively. If MN = 7.65, how long is AB?

A:

Q: It nEN, then prve 4 is mathe matical indle ctin 527+2 242 - 25 ahoays divided by 576.

A: let P(n) be the ststemnet to be be proved by mathematical statement.1) Base case:    We prove P(n)…

Q: In ANOP, NP is extended through point P to point Q, mZNOP= (3x + 8)°, MZPNO = (2x + 9)°, and mZOPQ =…

A: To find the value of x

Q: Determine, without using a calculator, the length of AC in AABC, if AB = BC = 8 cm and B = 120°.…

A: Given : AB = BC = 8 angle B = 120

Q: In a parallelogram, both pairs of opposite sides are congruent. O True O False

A:

Q: Given the properties, identify whether it is a thcorcm or postulate and illustrate.

A: To find: Identify whether the given properties is a theorem or postulate and illustrate. Postulate-…

Q: write the solur?un set of cach RnaquelPty using ?nterucal notation.e #12) XE12

A: According to question given that x≤12

Q: Find the smallest positive and largest negativ should also be in degrees. An angle given in 2pi/3.…

A:

Q: 21. If ADEF and AABC are similar, what is the length of AB when the length of DE is 23. 10 40 23.00…

A:

Q: R.

A:

Q: If the DIB of the tree is 24" and the bark thickness is 0.75", what is the DOB? O 24.75" O 25"…

A: Given, Diameter inside bark(DIB)=24" Thickness of bark=0.75"

Q: 18. Write three valid congruency statements given the triangles below. 丰 a) b) c)

A:

Q: In A ABC, segment DC bisects Z C and divides AB into segment AD and BD. If CD = 6 units and AC =…

A:

Q: In AABC, D is a point on AB and E is a point on AC such that ED/ BC. If AD=6, BC=6, and DB is one…

A:

Q: If A ABC I A DEF, what Correspon.ding parts are congrient

A:

Q: Determine the sum of the interior angles of a n-sided polygon. O (n-1)180 O 180n O 360n O (n-2)180

A: To determine: Sum of all angles of a n sided polygon.

Q: 4. Find the missing side lengths for each of the triangles below. C 25 in 5 in 12 in. 24 in

A:

Statements and Logic

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