Geometry Review

Name MATH 1332 Assignment 3.6 MATH O332/1332 Assignment 4.6 Geometry Review Directions: Complcte the following. You must show all work to receive fullcredit. You may use a calculator for the following questions. I: What is the measure of theangle that is complementary to a 75° angle? | 0 90-75 What is the mcasure of the angle that is supplementary to a 75° angle?b5 |6U-75 3. Given the two intcrsecting line segments shown. r.14/ De Find the value of x. |X=l0.s b. Find the measure of angle DBE. C Find the measure of angle DBA, Ig0-8-|15 4. Find the measure of the marked angles. 47)5 (4x+45)° 5(1)*18)°) =67° 27 -27 5 6. Decide whether each figure is convex or not. Not(onNey Classify cach triangle as scalene. acute, a. Convex right or obtuse. Also, classify cach as equilateral, isosceles or C. 6 6 I2 Aoute, Tsosses 77 dotuse,alene hight, Skaten I. Find the measure of each angle in triangle ABC. classify the triangle in terms of its angles (acute, right or obtuse) and sides (equilateral, Then or isosceles scalene). A S7)|< 36 26x -=I0 (5r + 1)e (15r + 3)° .6C)-4 (6x-6)° 5(7) S= 16%° b. 12(5) 3L 26 X =7° ootuse,Isosceles |'tlbS+lOxtto I80 33y 415=180 B (12x)° l0(5)+lo (11x + 5)° 20 (10x + 10)° A Aate badatral Find the B measure of exterior angle BED. 12x+ 1 15 + 4x/ D 12x+|=1S4x+82 12x4| = 4x t47 =|212)+\ 8 9. Given the shown below with sides AB = BO. angle BCDisosceles 100 measure triangle degrees? B C What is the measure of angle mz B=|8050-80720 D 10. Triangle EFG is similar to triangle LMN. Find all missing angle measures. 30° 102 102° M /48° 11. Find the unknown side lengths in the pair of similar triangles shown. 5 18 12 1x \113 9 113 X < bunits y=bonits B if . In the diagram shown, there are two similar triangles. Find the value of k. 21 126 13. A tree casts a shadow 30 fect long. At the sametime, the shadow cast by a6 feet tall person is 4 feet long. Find thc height of the tree. 30ft h 4sft 14. Find the missing side of the right triangle. Write the exact answer and then round to the thousandths place if the exact answer stillh¡s a square root. 24 76 10 =VY0 b. 3y372 4 ty 44 3r /7m x-40 C. 7 3 q41-xt S8x' x=V5%7Ubnits 15. Find the perimeter and area 25 A of the figure shown. P-45=(2s)\ouf4 25 A (squarc) b. 1.5 cm 1.6 cm Abh : 30.s): 4.5cm? 3 cm (a parallelogram) C. 3mi 6.7 m 3.2m P32t5+67 144 =75n v4- bh(s)3 5m d b=5 cm 5.lcm h=5 cm P:55.I t7+5.) 22. (547)5 (b+S)n 2m B=7 cM (a trapezoid) 16. Find the circumference and area ofa circle with a diameter of 10 inches. Round answers to the nearest thousandth. 17 The cost of carpet is $3 per square foot, If you are feet by l4 feet, going to put carpet in a room that how much would you have to measure 10 pay? A=\61z140t last 3140)= $40 l8. The cost to build a fence is $25 per foot. You a rectangular yard that is 70 feet long and 30 Teet wide. Your house takes up onc of the sides have that measure 70 feet so you do not need tencinB on that side. How much would it cost to fence in your yard? Haust fence 70+330130ct Cost25(130): S 30 76 19. The perimeter of asquare is 40 feet. Find the area in square inches. 20. The area ofa circle is 8.0384 square inches. Use 3.14 as an approximation for pi and find the ris2sL radius of the circle. 8.0384 =3.14r 314 3,14 -lbin. 21. Find the value ofx if the perimeter of the rectangle is 278 units. ZC)+2(S1)=273 278 278 X=2unis 22. If you triple the sides of a rectangle, then the perimeter increases by afactor of area increases by a factor of 3 4218 and the 23. Findthe area of the shaded 21 ft region to the nearest hundredth. Ared. =21(23)= 4834 23 ft tsemiciee= (a semicircle within a rectangle) Shadal Awa 20 in. 7 in. S3. |25 r 483-5S.(257, o4.82 Areet.= 24. Find the area of the composite figure shown. 7in. x(l0s I4 tri 3)=41in2-24.5in2 (77) = Total Areaa)rys -||SSnt 25. Find the volume and Round answers to the surface area of each figure. S=2lw exact. a. Rectangular Prism 8 in 22h+wh 22)4+C2)8t2(4 V=luh=14)8 384n3 4 in 12 in b. Cone 12m 5m nearest hundredth if not 90 282.74m 26. Find the volume of the pyramid shown. Aea ofBase ku3(24)2S.z 36 mm 63 mmn rectangular v=tBh:3((sn)3:(5.14Wmms 24 mmn 27. Find the volumc and answers to the nçarestsurface arca of abascball. which has adiameter of about 3 inches. thousandtlh. o Z6. Find the volume and surface area of a soun can. which has a radius of 3.2 centimeters and a height of 9.5 centimetcrs. Round answers to the ncarcst V=h thousandth. 3oS.614cm3 =47.23x 2)44.5) 29. If youdouble the sides ofacube, then he surface area increases by a factor of volume increases by a factor of 4 24 -4 v=2 30. If the surface area of a cube is 294 square inches, then the volume of that cube is S=b5 S 7in -77-43 31. Ifthe volume of the box shown is 84 cubic meters, find the height. 4m 6m and the 345in3 K*l0e 53 32. Given the cylindrical tank below. 3binzn a. Find the volume of the cylinder in cubic inchcs Va Tthz T(L6)3 2b0in 11460UTins 46715SU.408in3) O. rou are going to fill this with a liguid that costs $5 per gallon. If there arc 231 cubic in a gallon, how much money will inches it cost youto fill up this tank? 124600tins 23\in3 },812.78 lgal J3. You are going to paint the walls of the room shown (not the floor or the ceiling). On one wall, there is a door that measures 8 feet by 3 feet and that door does not need to be painted. 10 ft Door ara -303)=42 18 ft 30 ft What is the square footage of the area you will need to paint? Area to bepaintd =36otbo0-24=sLP2) cans of paint will you need to buy if you b. One can of paint covers 350square feet. How many room? walls of this are going to put two coats of paint on the 2 Coats (876P4? 20436) \87 lian bans 34. Use your callculator to find the .cos(55') following. Round to the nearest thousandth if not b. sin(20') c. tan(79) :.514 35.Find the sine, cgsine ahd tangent of both angle Aand Sin A exact. of angle B. Cus B+ m 36. Use trig ratios to find sides b andc below. A b 25° 8m (:Cos 25 37. Find side x in the right triangle shown. 17-Sm 35°-7 35° 17cm ratiosto find Usetrig ls angles A and B below. 5cm.C BSin 30 10 cm. 39. Find angle E shown below. Tanb 4ft. 6 ft. 40. The angle of depression from the top of a lighthouse to the base of a ship out on the ocean is 5. If the lighthouse is 70 feet tall, how far is the base of the ship from the base of the lighthouse? tan tanS 7 xtans" X &o.lo4f4 tunso 41. You notice that when you are standing 20 feet away from the base of aflagpole, the angle of elevation to the top of the flagpole is 53. How tall is the flagpole? tan53 X20Bn