Pipe B can fill it in 2 hours less time than it takes pipe C, a draining pipe, to empty the tank. Your IP: 94.21.0.151 16. susankao is waiting for your help. 1) 36 3) 100 2) 60 4) 120 19. Cone. Find AX in the diagram if CX bisects angle ACB. 3. A Vertex C and vertex C'are located in the same place. …. Triangle ABC is then rotated 60 degrees clockwise about vertex C to produce triangle ABC'. What Is The Measure Of LA, To The Nearest Degree? 13. 5 As shown in the diagram below of , a compass is used to find points D and E, equidistant from point A. An equilateral triangle has all the three sides equal and all three interior angles equal too. 89° 57° 123° 48° cyntiah11 is waiting for your help. What is mOB? Construct equilateral triangle ABC using line segment AB as one side. Jahnay uses 750 g of sugar. Equilateral triangle. Determine the point of intersection of the medians, and state its coordinates. Which information is not sufficient to prove that a parallelogram is a square? 47. *There's a right triangle. The angle a = 7/ radians, and corresponds to the point A on the circle. Complete the inequality - 9021071 5 B. The circle has radius 4. 4. 2 In the diagram below, the vertices of DEF are the midpoints of the sides of equilateral triangle ABC, and the perimeter of ABC is 36 cm. Prism. 1) The diagonals are both congruent and perpendicular. 12 B. Question: Equilateral Triangle ABC Is Shown Below With Altitude BD. If mAB = 104 and mCD = 168, what is mBD ? Triangle ABD is obtuse. The trigonometric function to be used is the cosine function. What is the length, in centimeters, of EF? In , … In the diagram of right triangle ABC shown below, AB = 14 and AC = 9. [Leave all construction marks.] 3. Simplify the following. e ns In shown below, altitude is drawn to at U. Explain your reasoning. &&665(*8/$5,7<)LQGWKHYDOXHRIHDFK variable. To the nearest tenth of a degree,what is the measure of the largest acute angle in the triangle? Using a compass and straightedge, construct the bisector of the angle shown below. answer choices . 4. In both methods a by-product is the formation of vesica piscis. Also, since DE is parallel to AB, this forms two sets of congruent alternate interior angles such that ∠ECA≅∠A and ∠DCB≅∠B. 0. Construct an equilateral triangle given the following side length 48. 1) 2) 3) 2) 4) In the diagram below of right triangle ABC, altitude is drawn to hypotenuse . Performance & security by Cloudflare, Please complete the security check to access. If AB =15, BC =12, and EC =7, what is the length of BD? Side AC reflects onto itself when reflecting across the altitude. Question 427945: In the diagram of triangle ABC shown below, BC=10 and AB=16. is the planet's average speed in kmh-' to 3sf? Find attached to this answer the diagram of the right angle triangle. 3 In right triangle ABC shown below, point D is on AB and point E is on CB such that AC DE. 1) scalene triangle 2) isosceles triangle 3) equilateral triangle 4) right isosceles triangle 12 Triangle ABC has vertices A(3,3), B(7,9), and C(11,3). In the diagram below, ^ABC is shown with AC extended through point D. If mOBCD = 6x + 2, mOBAC = 3x + 15, and mOABC = 2x 1, what is the value of x? The arcs AB, BC and CA are drawn with centres C, A and B respectively. 4 In the diagram of ABC shown below, DE BC. 16 B. Proof Use Ptolemy on the cyclic quadrilateral ABMC. A) −2 B) 2 C) − 1 2 D) 1 2 9. The circle has radius 4. Which We have the height of the equilateral triangle, then we apply formula: If AB =10, AD =8, and AE =12, what is the length of EC? *Triangle KJF is obtuse. it an isoslese triangle 6 and 8 are both base my work 6+2=8 12+2=14 2(14)+6=p 24+6=28 I . The lengths of the sides are in terms of the variable n, where n ≥ 4. But i am unsure. Question: 3.41 The Measures Of Two Angles Of An Isosceles Triangle Are 3x +4 And X+17, Find All Possible Values Of X. 2. The diagram below shows equilateral triangle ABC sharing a side with square ACDE. Justify your answer. What is the slope of the line perpendicular to the line represented by the equation 2x +4y =12? 4 2.) [Leave all construction marks.] A correct question is -----> In the figure ΔABC is an equilateral triangle, whose each side measures x units. This problem has been solved! a)3x a x 2 x b Previous question Next question Transcribed Image Text from this Question. - 4412089 An altitude is drawn from point C to point D on side A B to form a right angle. Consider these statements. 50. 49. 10N.2.hl.TZ0.1: Triangle ABC has AB = 5 cm, BC = 6 cm and area 10 \({\text{c}}{{\text{m}}^2}\). 9. 14 9 Ady. Cathy wants to determine the height of the flagpole shown in the diagram below. What is the length, in centimeters, of EF? Question In the diagram below of parallelogram ROCK, m∠C is 70 o and m∠ROS is 65 o. The same relationships would be found for altitudes drawn from vertices A and C. Special triangles. Which of the following statements must be true? In the diagram below of AABC, side BC is extended to point D, mZA = What is mZB? answer choices . Equal lengths of a triangle are shown by making an arc on each side. 47. Justify your response. Based on your construction, state the theorem that justifies why ABC is congruent to XYZ. Using a compass and straightedge, construct the a vertex at R. The length of a side of the triangle bisector of Z CBA. 4 The angles of triangle ABC are in the ratio of 8:3:4 . Answer to: Find the area of triangle ABC, an equilateral triangle, shown in the diagram below. smallest amount, to the nearest pound, she can invest? 200 g flour What is the length, in centimeters, of EF? A) ∠A+∠B+∠C =180 B) m∠A =m∠B =m∠C C) AB =AC =BC D) AB +BC >AC 8. 7) In the diagram of right triangle ABC shown below, AB 14 and AC-9. Pyramid. Explain your reasoning. c) ∆FEG ≅ ∆IHJ d) ∆FGE ≅ ∆HIJ. ABC is congruent to triangle XYZ, as shown below. • She wants it to be worth over £8000 at the end of 3 years. Then, point G, the intersection of and side of , is labeled. [The use of the set of axes below is optional.] The bottom right exterior angle is (15 h) degrees. 2. Adjacent = AC = 9 Sphere. Which statement is always true? Next, the compass is used to find point F, equidistant from points D and E. Finally, a straightedge is used to draw . Equilateral triangles have sides of all equal length and angles of 60°. Therefore, Solve for … 2) 12 3) 18 14. The top point is B; B slants to A making it equal to 16. What is m∠KSO? Triangle ABC is shown in the diagram. Find the perimeter of triangle DEF. How long is the path traced out by all possible points C to two. Substituting angles A and B into our previous equation, ∠A + ∠B + ∠BCA = 180°, where ∠BCA = ∠C. MathsMia Apr 18, 2017 0 users composing answers.. b) CxC Step-by-step explanation: Looking at the attached diagram, the only way to solve for this is the use of the trigonometric function. 1. Solving: From the given graph we first calculate the value of «a» (side of the triangle). Cloudflare Ray ID: 6171c7c9ea4e38be 50. 5% compound interest per year. An equilateral triangle is inscribed into a triangle such that, say, counterclockwise distances between the vertices of the two are equal. Point B also lies on the circle. You're like a genius LOL, you are like the best at math haha. If AD =24, DB =12, and DE =4, what is the length of AC? See the answer. The length of a planet's orbit around a star is approximately 29,870,000 km. A 2. Which statement must be true? Line segment AB is a diameter of circle O whose center has coordinates (6,8). 5 In scalene triangle ABC shown in the diagram below, m ... Triangle EZT is equilateral. As shown in the diagram below, CD is a median of ABC. a. SSS SAS In the diagram below, the vertices of A DEF are the midpoints of the sides of equilateral triangle ABC, and the perimeter of L ABC is 36 cm. Explain your reasoning. x 4gºh, add together 2 kilograms and 2 grams.give your answer in grams. Jahnay is following this recipe to make cakes. Equilateral triangle ABC is shown below. In the diagram below, the vertices of ADEF are the midpoints of the sides of equilateral triangle ABC, and the perimeter of AABC is 36 cm. The measure of … If an equilateral triangle is continuously rotated around of it its medians, which 3-dimensional object is generated? Q. What is is the area of the shaded (in green) shape shown below if ABC is an equilateral triangle of side a = 10 has an inscribed circle, with center O, and is tangent at P and M to the sides AC and AB respectively? 3. On the ray drawn below, using a compass and straightedge, construct an equilateral triangle with 4 . Is it an equilateral triangle? Find the total … 3. equilateral. Refer to altitude BD extending from vertex B in the diagram below: Side AB reflects across the altitude to side BC. Question What is an equation of the perpendicular bisector of the line segment shown in the diagram below? Hypotenuse = AB = 14. Expert Answer . Tags: Question 4 . If you are at an office or shared network, you can ask the network administrator to run a scan across the network looking for misconfigured or infected devices. [Leave all construction marks.] Question: 7) In The Diagram Of Right Triangle ABC Shown Below, AB 14 And AC-9. 1) 1 4 2) 1 3 3) 3 8 4) 1 2 2 In the diagram below, the vertices of DEF are the midpoints of the sides of equilateral triangle ABC, and the perimeter of ABC is 36 cm. 12 3) 18 4.) What is BE? You may need to download version 2.0 now from the Chrome Web Store. In the accompanying diagram, A ABC and AABD are isosceles triangles Mith mZCAB — mLBDA — 55. Another way to prevent getting this page in the future is to use Privacy Pass. In the diagram of equilateral triangle ABC shown below, E and F are the midpoints of and , respectively. A. Which conclusion can be made using both statements? (3,6) (8,-3) (-3,8) (6,3) 28. (Figure 1) In fact, using the Ptolemy inequality for quadrilaterals, we get the following van Schooten inequality. If MN =3.5 and the perimeter Angle A C B is a right angle. Equilateral Triangle- has three congruent sides and three congruent angles 600 eac 3) If the measures, in degrees, of the three angles of a triangle are x, x+ 10, and 2x— 6, the trianole must be 1) isosceles X + ISO 2) equilateral 3) right sca ene L.I 80 X, \ +10 4) In the diagram below of aaz, His a point on ax, 28, and In the diagram below, ABC is an equilateral triangle of side length 7 cm. In the accompanying diagram, OACD is an exterior angle of ^ABC, mOA= 3x, mOACD= 5x, and mOB = 50. Answers (1) Huata 7 November, 13:56. Expert Answer 100% (3 ratings) It takes the planet about 1670 Earth days to complete a full orbit. The square has side lengths of 4. …. 4 2.) 125 g b 14. You can specify conditions of storing and accessing cookies in your browser, I thought it would be about the 30-60-90 triangle?! In the diagram below, under which transformation is triangle A'B'C' the image of triangle ABC? In this case, each interior angle of an equilateral triangle … Select all expressions that must be equivalent to cosA. If AB=14, find AD and BD, in that order. I NEED HELP ASAP Compute the correlation coefficient for the data set. Because triangle XYZ is a right triangle, the side lengths must satisfy the Pythagorean theorem, a2 + b2 = c2, which in this isosceles triangle becomes a2 + a2 = c2. Which two sets of construction marks, labeled I, II, III, and IV, are part of the construction of the perpendicular bisector of line segment AB? 5 Using a compass and straightedge, construct the line of reflection over which triangle RST reflects onto triangle R’S’T’. The lengths of the sides are in terms of the variable n, where n ≥ 4. With all 3 pipes Add your answer and earn points. B. Which statement is always true? c) 27 x 5y And then there's a diagram below with triangle ABC, where X is on line C, BC=45, AC=21, and BX=30. 13. Complete the inequality - 9021071 GIVEN ¤ABC, AB Æ£ ACÆ PROVE ™B£ ™C Paragraph Proof Draw the bisector of ™CAB.By construction, ™CAD£ ™BAD. Equilateral Triangle- has three congruent sides and three congruent angles 600 eac 3) If the measures, in degrees, of the three angles of a triangle are x, x+ 10, and 2x— 6, the trianole must be 1) isosceles X + ISO 2) equilateral 3) right sca ene L.I 80 X, \ +10 4) In the diagram below of aaz, His a point on ax, 28, and Determine whether an isosceles triangle, andjustify your answer. Write a clear set of steps for this construction. Completing the CAPTCHA proves you are a human and gives you temporary access to the web property. ΔABC is shown below. 6 part of the area of the original triangle? 45 o; 110 o; 115 o; 135 o; 29. Explanation: . 1) I and II 2) I and III 3) II and III 4) II and IV 3 In the construction shown below, is drawn. So, we know the sides AB = 4, and AE = 4. Thank you so much! In circle O shown in the diagram below, chords AB and CD are parallel. Given: Right ABC as shown where CD is an altitude of the triangle Prove: a2 + b2 = c2 Triangle A B C is shown. Justify your answer. In the diagram below, under which transformation is triangle A'B'C' the image of triangle ABC? For △ABC shown above, let line DE, containing vertex C, be parallel to side AB. She uses a survey instrument to measure the angle of elevation to …, Pipe A can fill a tank in 5 hours. 47. 1410 11 C. 16 D. 18 1 9 6. The diagram below shows equilateral triangle ABC sharing a side with square ACDE. a-40 b-57 c-33 d-50 1 See answer bxknight31 is waiting for your help. Using a compass and straightedge, construct the bisector of the angle shown below. The three altitudes of an equilateral triangle are also lines of symmetry. 49. 30 10/ 8 C 6 2-8 -7 -6 -5 -1-321 1231 5678 X-2 The figure shows triangle ABC. 41 B. If the area of ABC is 24 square units, what could be the coordinates of point C? It is an equilateral triangle divided in two on its center down the middle, along with its altitude. Find mOC. A. Theorem 1 If ABC is an equilateral triangle and M is a point on the arc BC of C(ABC) then jMAj = jMBj+jMCj. In isosceles triangle ABC, "B = BC. Using a compass and straightedge, determine if ∆ABC is an equilateral triangle. Since the equiangular triangle is an equilateral, CB 62/87,21 By the Converse of Isosceles Triangle Theorem, In triangle ABC, That is, CB = 3. In the diagram below of ^ACD, Bis a point on AC such that ^ADB is an equilateral triangle, and ^DBC is an isosceles triangle with DB ˘=BC . To find the height, we can draw an altitude to one of the sides in order to split the triangle into two equal 30-60-90 triangles. In the diagram of right triangle ABC shown below, AB = 14 and AC = 9. 12 3) 18 4.) 1.) In the figure given below, ABC is an equilateral triangle. 14. Which statement is true? If AB=14, Find AD And BD, In That Order. adefunkeadewole adefunkeadewole This question is incomplete because it lacks the diagram of the right angled triangle. 49. &&665(*8/$5,7<)LQGWKHYDOXHRIHDFK variable. Geometry. 62/87,21 Since all the angles are congruent, the sides are also congruent to each other. See the answer. In the diagram of A ABC and L DEF below, AB DE, A), and ZE. m