1. Prove that if two alternate exterior angles formed by two lines and a transversal are congruent, then the lines are parallel. (Use angles ZABG and ZECF as the two alternate exterior angles. Use only propositions E. 1 – E.16. Do not use explicitly nor implicitly Euclid's fifth postulate. D G fir. A B H C F E

Q: Question 3: Find the points on the polar curve r = 3 sin 0 at which there are horizontal and…

A: We have,    r = 3 sin θ

Q: Carolyn is building a pen for her dog. The perimeter of the pen is 58 ft. The fencing material is…

A: Carolyn is building a pen for her dog. The perimeter of the pen is . The fencing material is sold by…

Q: Consider a triangle ABC like the one below. Suppose that a=65, b=42, and c=30. (The figure is not…

A:

Q: Are these scalene triangles similar? G 50 H 70 F V 63 T 45 U

A: Two triangles are given and we need to find out the similarity of two triangles.'As per the rules,…

Q: Identify the slope and y-intercept of the graph below. -2 -1 :: m = -2 0 -1- -2 -3 Y-Intercept b =…

A:

Q: Using the Additivity & Moving Principles, determine the areas, in square units, of the shaded…

A:

Q: In the diagram below, m/1 = (4x + 2)° and m/2 = (3x + 10)°. 2 For what value of x is line m parallel…

A:

Q: A copper contact is insulated from its support with one piece of mica 1/64 inch thick, two pieces of…

A:

Q: The figure below is made of a cube and a rectangular prism. 6 in- 18 in.- [not drawn to scale] What…

A: We are given the following figure.

Q: 30 25 20 >15 10 5 0 0 2 X 3 Complete the equation for the graph: y-0 4 5

A:

Q: Find the measurement of the missing exterior angle given the diagram below. B 239⁰ 90⁰ 59⁰ 45⁰ 45° X…

A:

Q: What is the concept of central coincides and how does it relate to the mathematics of circles?

A:

Q: D Question 28 Line r is parallel to line t. Find m26. The diagram is not to scale. 7 O 142 7 138° 1…

A:

Q: X W 98⁰ 24° с N R

A:

Q: The length of one side of a golden rectangle is 8.7 meters. Find the length of the other side.…

A: given here length of one side of a rectangle and asked to find the other side of the rectangle.

Q: Given the following information, find the length of the missing side. Leave your answer as a…

A:

Q: Which lines are parallel if mZ1 + m/2 = 180? Justify your answer. ➜h Ojk, by the Converse of the…

A:

Q: Which equation will help you solve for x using the given information in the diagram? 15 B O 2x + 1 +…

A: The problem represents a quadrilateral in which opposite sides are equal the aim is to find the…

Q: A cylindrical cup measures 12cm in height. When filled to the very top, it holds 780 cubic…

A:

Q: 11. Triangle ABC has side lengths 9, 12, and 16. Do the side lengths form a Pythagorean triple?…

A: If Three numbers ( a , b , c ) are the pythagorean triplet then they should follows the pythagaoras…

Q: In A and ADEC, QR DE, QS=CD, and <QSR=<DCE. = Which statement about AQRS and ADEC is true? They are…

A: QR=DE QS=CD Angle QSR = angle DCE

Q: In triangle ABC, angle C = 70°, A = 45°, line AB = 40m. What is the length of the median drawn from…

A:

Q: Figure 2 shows a solid piece of wood in the shape of a triangular prism of length y cm. The…

A:

Q: A concrete patio will be made in the shape of a 12 foot by 12 foot square with half-circles attached…

A:

Q: ਕਰ

A: Note:-since you asked multiple questions, according to our policy we can solve only first question…

Q: Determine the area of the shaded shape in Figure 12.40. The entire figure consists of two…

A:

Q: A roof is supported with a triangular truss that has the dimensions shown. A B C -12 ft- What is the…

A:

Q: Suppose triangle ABC can be taken to triangle A'B'C' using rigid transformations and a dilation.…

A: Triangle ABC can be taken to triangle A'B'C' using rigid transformations and a dilation.

Q: A 168-m long fence is to be cut into pieces to make three enclosures, each of which is square. How…

A:

Q: A 10-foot length of electrical metallic tubing is cut into 1 1/2 -foot lengths. How many whole…

A:

Q: If m∠A≈23°, the approximate measure of ∠B

A:

Q: Find the missing angle. Round answer to the nearest tenth of a degree. 8 16√2 0 24

A: The right angled triangle is given and we need to find out the angle theta as shown in the triangle.

Q: Which option shows the correct construction lines for drawing the perpendicular to line XY that…

A:

Q: Theorem 6² EX 15 The theorem only works on triangles. EX 2 A Label the legs and hypotenuse. A right…

A: Since the problems are very small so I solved all the problems.

Q: Which statement is true? # B F H G

A:

Q: Question 7. Let f(x) = 2x - √x. Find favg on the interval [1,4].

A:

Q: 5 x+60 3x-30 X 2x+30

A: Let AB = x + 60AC = 3x – 30BC = 2x + 30

Q: Write a two-column proof to show the following: A C B D Given: AB= CD Prove: CD = AB

A: AB = CD

Q: 9) 24° 10) b 30°

A:

Q: The weight of a spool of wire is 29.11 pounds. The spool weighs 3.2 pounds. Find the cost of the…

A:

Q: 1. Given the radius below, calculate the diameter of the circle. F -----1116 15m.

A:

Q: A king comes to you and says he has had a special item built with silver. He gave a silversmith a…

A: Given:We are required to:

Q: 1. What is the circumference and the area of the circle? Round o the nearest tenth. 15 in Work:…

A: Given radius r = 15 in

Q: The volume of a sphere is 36π cubic feet. The diameter of the sphere is ___feet. I tried 6,27,9,4.1…

A:

Q: Greg ties a 5' rope to the top of a 4' pole in his yard and draws a diagram to help determine the…

A: Given:We are required to find

Q: nstructions: Find the measure of the angle indicated. 106⁰ m/MLK Check M K 0 2⁰ L

A:

Q: 6 ft 25. Find the surface area of the pyramid to the nearest whole number. \ 9 ft 6 ft < Work: 5/6 -…

A:

Q: In point/list form, describe the transformations that were applied to create the function g(x) =…

A: As per guideline, we can solve only first question if multiple questions are posted. Please repost…

Q: The diagram shows a circle with centre O. Find an expression for a) x in terms of y. b) y in terms…

A: