
To prove: If the measure of a complement of an

Answer to Problem 34WE
The measure of a complement of an angle can be equal to exactly half the measure of supplement of the angle only for the angle zero
Explanation of Solution
Given information:
The measure of a complement of an angle is exactly halt the measure of a supplement of the angle
Suppose that the measure of the angle be
Then the measure of its supplement is
Then the measure of its complement is
The measure of a complement of the angle is exactly half the measure of the supplement of the angle implies that
Simplifying this gives
This is possible only if the measure of the angle is
Thus, the measure of a complement of an angle can be equal to exactly half the measure of supplement of the angle only for the angle zero
Chapter 2 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
Additional Math Textbook Solutions
Algebra and Trigonometry (6th Edition)
Introductory Statistics
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
University Calculus: Early Transcendentals (4th Edition)
- find the value of each variablearrow_forwardName: Date: Bell: Unit 11: Volume & Surface Area Homework 2: Area of Sectors Directions: Find the area of each shaded sector. Round to the hundredths place. 1. GH 11 in 2. KL 20 ft H F 64 G L 119 M K 3. BA 6.5 cm 4. YZ 14.2 m B 23 X 87° Y Z 5. KL = 27.1 mm J 32 L X:360-32.1 K A-3 360 7. BD 18 cm E 136 B X=32.8 127.0 (271) A: 069.13 Amm² 19=2102.13 A-136 360.16912 A:300cm² A=96.13 6. PQ = 2.8 in P R 311° 8. WZ 5.3 km V = Z 108 W D 9. HK = 25 ft G H KO 26 X 10. SR 26 m = S 73 T R Gina Wilson (All Things Algebarrow_forward538 Chapter 13 12. Given: Points E(-4, 1), F(2, 3), G(4, 9), and H(-2, 7) a. Show that EFGH is a rhombus. b. Use slopes to verify that the diagonals are perpendicular. 13. Given: Points R(-4, 5), S(-1, 9), T(7, 3) and U(4, -1) a. Show that RSTU is a rectangle. b. Use the distance formula to verify that the diagonals are congruent. 14. Given: Points N(-1, -5), O(0, 0), P(3, 2), and 2(8, 1) a. Show that NOPQ is an isosceles trapezoid. b. Show that the diagonals are congruent. Decide what special type of quadrilateral HIJK is. Then prove that your answer is correct. 15. H(0, 0) 16. H(0, 1) 17. H(7, 5) 18. H(-3, -3) I(5, 0) I(2,-3) 1(8, 3) I(-5, -6) J(7, 9) K(1, 9) J(-2, -1) K(-4, 3) J(0, -1) K(-1, 1) J(4, -5) K(6,-2) 19. Point N(3, - 4) lies on the circle x² + y² = 25. What is the slope of the (Hint: Recall Theorem 9-1.) - line that is tangent to the circle at N? 20. Point P(6, 7) lies on the circle (x + 2)² + (y − 1)² = 100. What is the slope of the line that is tangent to the circle at…arrow_forward
- Can you cut the 12 glass triangles from a sheet of glass that is 4 feet by 8 feet? If so, how can it be done?arrow_forwardCan you cut 12 glass triangles from a sheet of glass that is 4 feet by 8 feet? If so, draw a diagram of how it can be done.arrow_forwardIn triangle with sides of lengths a, b and c the angle a lays opposite to a. Prove the following inequality sin a 2√bc C α b a Warrow_forward
- Find the values of x, y, and z. Round to the nearest tenth, if necessary. 8, 23arrow_forward11 In the Pharlemina's Favorite quilt pattern below, vega-pxe-frame describe a motion that will take part (a) green to part (b) blue. Part (a) Part (b)arrow_forward5. 156 m/WXY = 59° 63 E 7. B E 101 C mFE = 6. 68° 8. C 17arrow_forward
- 1/6/25, 3:55 PM Question: 14 Similar right triangles EFG and HIJ are shown. re of 120 √65 adjacent E hypotenuse adjaca H hypotenuse Item Bank | DnA Er:nollesup .es/prist Sisupe ed 12um jerit out i al F 4 G I oppe J 18009 90 ODPO ysma brs & eaus ps sd jon yem What is the value of tan J? ed on yem O broppo 4 ○ A. √65 Qx oppoEF Adj art saused taupe ed for yem 4 ○ B. √65 29 asipnisht riod 916 zelprisht rad √65 4 O ○ C. 4 √65 O D. VIS 9 OD elimiz 916 aelonsider saused supsarrow_forwardFind all anglesarrow_forwardFind U V . 10 U V T 64° Write your answer as an integer or as a decimal rounded to the nearest tenth. U V = Entregararrow_forward
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning

