In APQR, PR is extended through point R to point S, mZPQR = (3x + 12)°, mZRPQ = (3x – 11)°, and mZQRS = (8x – 9)°. What is the value of æ? %3D - -

Q: 1. Complete the Con Part 1: SAS (Side-Angle-Side) Congruence Postúlate 1. APQR E 廿 %23

A: As per the guidelines at a time only one question is solved. To complete the given congruence…

Q: The midpoint of AB is at (2, 5). If A = (8, 8), find B. B is:(

A:

Q: Use the table to approximate mZD in the triangle below.

A: The angles and the sides of a triangle are related by the trigonometric functions. Trigonometric…

Q: Which similarity postulate or theorem, if any can be used to show the two triangles similar?

A: Here for triangle SQR,    Length of the side QS = 8    Lengthof the side QR = 17    Length of the…

Q: Find a positive angle less than 2n that is coterminal with the given angle. 19T 4

A:

Q: If 180 0 , A , 270 0, then A/2 terminates in which quadrant(positive or negative )?

A: Given: 1800≤A≤2700 To Find: A2 terminates in which quadrant.

Q: Find the angle of the least positive measure (in degrees, not equal to the given measure) that is…

A:

Q: In AIJK, i = 14 cm, k = 11 cm and ZK=26°. Find all possible values of ZI, to the nearest degree. %3D

A: Answer-angle(I) =34°, 146°

Q: Find a positive angle less than 2n that is coterminal with the given angle. 13л 3

A:

Q: If a ray QT bisects ZRQS , what would be the measure of one of the resulting angles? R x+1) (3x- 5)

A: Given data: m∠PQR=3x-5∘m∠SQR=x+1∘

Q: The midpoint of segment ST is (5, -8). If T(1, 12), can you find point S?

A: Given that the midpoint of segment ST is (5,-8). Also T(1,12) .  Now we have to find the coordinates…

Q: 21. In APOR, PQ = 50, OR = 30, and PR =60. To the nearest tenth, what is %3D mZR?

A:

Q: In circle P with mZNRQ = 37, find the mZNPQ. %3D R

A:

Q: If m/RXU = 42°, then what is mZUX S? %3D T

A: From the above figure,     ∠RXU+∠UXS=180°. We are given that ∠RXU=42°. Now,…

Q: Quadrilateral EFGH is a rectangie. If mZFEG= 57, find mZGEH. %3D E K. H.

A:

Q: Consider a triangle whose shortest sides have lengths 9 and 12. The longest side of the triangle has…

A: As per question given triangle is right angle triangle  Longest side of right angle  triangle is…

Q: In Exercise 8, find the value of x for the right triangle. 8. 10 30

A: Since multiple questions are asked, Answering the first question. Find the value of x in right angle…

Q: For what value of x is JKLMA parallelogram?

A:

Q: What is the exact value of csc  x if the point (-4,2) lies on the terminal side of n angle x when…

A: The given point is (–4,2).

Q: Find a positive angle less than 2π that is coterminal with a -π/15 angle ?

A: the angle less than 2π is in the first and second quadrant and coterminal angles repeat after…

Q: Find a positive angle less than 2n that is coterminal with the given angle. 13x 3

A: Find a positive angle less than 2π that is Coterminal with the given angle 13π3

Q: In the trlangle below, suppose that m2Q=(4x-9)°, mZR=(6x+ 2)°, and m2s=x°. Find the degree measure…

A:

Q: One angle of a regular pentagon measures (2x+10)°. Find x. x = [x]

A:

Q: 2x, BD = 3x+ 4, and Point C is on line segment BD. Given CD BC = 2x - 1, determine the numerical…

A: The given information can be diagrammatically represented as shown below:

Q: The midpoint of AB is at (2,5). If A=(7,0) find B

A:

Q: Question 2 Complete the statement for parallelogram KLMN. If KL = 8 and MN 2 .

A:

Q: Which rule explains why these triangles are similar? F

A: To prove- given triangles are similar.

Q: Find angle NFE * M²GFN = 4x+ 10, mZNFE = 14x + 3, %3D %3D and mzGFE = 157°. Find mNFE. N

A: Given that,∠GFE = 157°WE HAVE TO FIND ∠NFE

Q: Consider a right triangle with a side of length x opposite angle A, a side of length y opposite…

A: Given: Consider a right triangle with a side of length x opposite angle A, a side of length y…

Q: In circle P with mZNRQ = 23, find the mZN PQ. %3D R

A:

Q: The three sides of a triangle are 5, x, and 8. Give all possible lengths x so that the triangle is…

A:

Q: 4) Find an angle with positive measure and an angle with negative measure that are co-terminal with…

A:

Q: How many triangles can you make using 7 non-collinear points on a plane? Provide the answer in…

A: Here we have to find the number of triangle that can be formed using 7 non collinear points

Q: Given that |ā| = 10, b| = 15 and d + b| = 17, then determine |3d – b|. Make sure to include %3D a…

A: Solution of above question is written in below steps.

Q: Consider a right triangle with a side of length x opposite angle A, a side of length y opposite…

A:

Q: A positive angle less than 2pi that is coterminal with 31pi/6

A: Aim:- To determine a positive angle less than 2pi that is coterminalwith 31 pi/6."Coterminal angles…

Q: show thet ® Coule+ AX, {) - A Cou(8iY)

A:

Q: Find a positive angle less than 2n that is coterminal with the given angle. 150

A: To find co-terminal we have to add or subtract 2π from the given angle

Q: If mZA is 21 degrees what is the mZB?

A: sum of angles in a straight line is 180 degrees

Q: The ray PQ is an angle bisector of ZRQS.If ZPQS is 11.5 degrees, find mRQS If the solution is not an…

A: Topic:- basic maths and angle bisector

Q: The midpoint of AB is at (0, 2). If A = (– 9, – 2), find B. |

A:

Q: If AJKL is an equilateral triangle, JK = 13x + 5, KL = 17x- 19, and JL = 8x + 35, find the value of…

A: Hi thankyou for the question. Since you have posted multiple questions, as per the rule we will…

Q: What is the measure of QU?

A: Given , YU = YV ST = 16 Both chords are of equal distant from the center at right angle.

Q: The midpoint of AB is at ( – 1, – 5). If A = (3, 2), find B. B is:(

A: Here we will simply use the midpoint formula to find coordinates of point B