Geometry Questions

18 1 point B This is the first step in which construction Inscribed Octagon Inscribed Triangle Inscribed Hexagon Inscribed Square

13 1 point M P Statements MObisects PN and ZP ZN PO ON N Given Prove MP NO Reasons 1 MObisects PN and P ZN 2 Vertical Angles 4 5 3 A MOP A QON MP NO Which choice belongs in space number 3 ZMPOZNQO LOMP LONQ PMO ONIO

1 point Which of the following can be used when two triangles share a side Reflexive Vertical Angles Alternate Interior Angles Substitution

Each hemisphere of a beach ball has a volume of 281 250 cm What is the radius of the ball in cm 152

O B C 1 4 1 3 B C D A D The distance from B to B is 6 and the distance from A to B is 2 What is the scale factor 3 4

Circle H has a radius of 9 inches in Points M and N are on the circle and form the sector MHN The central angle ZMHN in Circle H measures 115 Determine the area of the sector Express your answer in terms of and round to the nearest hundredth if needed

The area of a sector with a diameter of 12 feet ft is 62 8 square ft Calculate the approximate measure of the central angle of the sector in degrees

It is important to limit in a research project because it will give unreliable information When Kora set up the experiment with a group of teenagers who wanted to improve their metabolism she broke them into two groups One group received hot lemon water made with real lemon The other As she asked them and the flavoring would be received hot water with lemon flavoring the second was called the questions about their weight energy etc she chose not to know who was in which group so this was a study

Consider these five data values 10 14 15 16 20 The mean is 15 0 and the Standard Deviation is 3 6 Now look at these values 10 11 15 19 20 Without doing any calculations what will happen to the standard deviation even though the mean is still the s Select one a The SD will be smaller because 11 and 19 are farther from the mean than 14 and 16 were b The SD will be smaller because the new values effect the range c The SD will be larger because the new values are close to each other d The SD will be larger because 11 and 19 are father from the mean than 14 and 16 were

Johnny was fishing Bass and caught these 5 fish Fish lengths 4 6 7 8 10 The mean is 7 0 based on his catches he calculates an estimated Standard deviation called the Sample Standard Deviation Remember to use Bessel s Correction

Scores on a test are normally distributed with a mean of 200 and a standard deviation of 12 Find the probability a randomly selected student scored less than 218 Select one a 0 75 b 0 90 C 0 45 d 0 93 If the average salary of a computer programmer is 71 800 with a standard deviation of 13 000 approximately 97 800 of the programmers make over

The mean always has a z score value

1 A can of soup is full of vegetables and chicken broth The volume of the chicken broth is 141 37 in I can has a height of 5 in and a base area of 30 in What is the volume of the vegetables in the can a 66 37 in b 8 63 in c 291 37 in d 150 in 3

2 Determine the volume of the figure below given their Faull 000

4 The smaller cone is removed from the larger cone Determine the volume of the figure to the nearest tenth 3 6 12 8 empl

A regular hexagon is shown 10 in What is the length of the apothem rounded to the nearest inch Recall that in a regular hexagon the length of the radius is equal to the length of each side of the hexagon O4 in 5 in O9 in 11 in

5 Determine the volume of the composite figure Round to the nearest tenth 5 mm 4 mm 2 mm last season att et barot sgil altamo s o lo employ

6 A cylindrical pringles can was full of pringles If the cylinder is 13 cm tall and has a diameter of 14 cm and the volume of the pringles in the can is 1632 cm determine the volume of the empty space in the can

E 10 ft A 261 8 B 785 4 C 916 3 5 ft 5 ft 5 ft A grain silo is built from two right circular cones and a right circular cylinder with internal measurements represented by the figure above Of the following which is closest to the volume of the grain silo in cubic feet

Y 4 C Figure ABCD is a parallelogram Points X and Y are placed so that BX DY and CDJ XY The area of BXYC is 71 5 square units What is the area of ABCD O 99 square units O 110 square units O 126 square units O 143 square units

7 Determine the volume of the complex figure below Round to the nearest hundredth 6m 5m 50m

3 The pill below is a cylinder with a hemisphere on top and a hemisphere on bottom What is the vo 4 cm Hint a hemisphere is half of a sphere the shape below if the radius is 2 cm and a 1 r

2 Determine the volume of the composite figure Round to the ne 4m 3 m the 2m 451 637 in

Determine the volume the cylinder with a hemisphere scooped out of the top A 487 in 3 7 in C 457 in 3 3 in

d 410 cm 2 Determine the volume of the composite figure Round to the nearest tenth 4m pec 3 m 4 m Z2m 45m in

What is the measure of each exterior angle of a regular hexagon 000 40 60 72

Fwd the S 24 cm We 714 What is the volume of the shape V 28 938 24 cm V 2 712 96 cm V 7 234 56 cm V 3 617 28 cm V 603 19 cm

8 Calculate the volume of the 3D figure 12 in 13 in

Z Rhombus WXYZ is graphed on a coordinate plane What is the perimeter of the rhombus 16 units O 20 units O 24 units O 28 units

A regular hexagon has an apothem measuring 14 cm and an approximate perimeter of 96 cm 14 cm What is the approximate area of the hexagon O 224 cm O 336 cm O 448 cm O 672 cm

1 Calculate the surface area of a rectangular pris that is 3in by 5in by 2in

HOW 2 Determine the volume of a cone with a dia of 10 in and a height of 4 in Round to the nearest tenth Draw the figure first

3 Calculate the volume of a pyramid with a base area of 10cm and a height of 5cm

4 Calculate the surface area of a cylinder with a radius of 3m and a height of 12m Leave your answer in terms of WA

2 Calculate the volume of a prism with a base area of 45ft2 and a height of 2ft

1 A rectangular prism fish tank is filled with 677 cm of water and has some colorful pebbles at the If the base of the tank has an area of 40cm and the height of the tank is 20 cm determine the volume of the pebbles in the tank a 123 cm b 1477 cm c 800 cm 3 to allo smulov se snimned 25

3 Determine whether you would need to add or subtract to find the volume of the complex figures below a ADD SUBTRACT What two shapes would you find the volume of b 12 in ADD 13 in SUBTRACT What two shapes would you find the volume of

1 Determine the surface area of a cylinder with a diameter of 10 in and a height of 4 in Round to the nearest tenth Draw the figure first

An interior angle of a regular polygon has a measure of 108 What type of polygon is it pentagon O hexagon O octagon O nonagon

he regular octagon has a perimeter of 122 4 cm 20 cm Y W Which statements about the octagon are true Select two options The length of segment YZ is 15 3 cm O The measure of the angle formed by the radius and the apothem is 30 O The length of segment XY can be found by solving for a in 20 7 65 a O The length of segment WZ is 20 cm The measure of the central angle ZZXW is 45

A regular heptagon has a radius of approximately 27 87 cm and the length of each side is 24 18 cm What is the approximate area of the heptagon rounded to the nearest whole number Recall that a heptagon is a polygon with 7 sides O 1 173 cm O2 125 cm O2 359 cm D

Galina is finding the area of triangle RST To do so she follows the steps in the table Step Draw a rectangle around triangle RST Step Find the area of the rectangle 2 Step 3 Find the area of the three right triangles created by the sides of the rectangle and the intersection with each vertex of the triangle Step Subtract the area of the right triangles from the area of the rectangle To solve the problem using these steps what are the dimen ns of the rectangle she should draw R 5 3 2 5 4 3 2 1 24 3 5 S O2 units by 4 units 3 units by 4 units 19 F Funits T 3 4 5 X

To find the area of parallelogram RSTU Juan starts by drawing a rectangle around it Each vertex of parallelogram RSTU is on a side of the rectangle he draws U 3 3 2 1 w 4 T S X Which expression can be subtracted from the area of the rectangle to find the area of parallelogram RSTU O 2 18 4 18 4 O 18 4 O 18 4

Four interior angles of a pentagon measure 88 118 132 and 100 What is the measure of the fifth interior angle 82 O 92 O 102 O 112

A regular pentagon is shown 9 4 cm 8 cm What is the length of the apothem rounded to the nearest tenth 2 9 cm 3 3 cm 4 9 cm 6 5 cm

A regular octagon has an apothem measuring 10 in and a perimeter of 66 3 in 10 in What is the area of the octagon rounded to the nearest square inch O88 in O 175 in O 332 in O 700 in

A square has an apothem measuring 2 5 cm and a perimeter of 20 cm What is the area of the square rounded to the nearest square centimeter O 13 cm O 25 cm O 50 cm O 100 cm

A regular hexagon is shown 12 in b C What is the measure of the radius c rounded to the nearest inch Use the appropriate trigonometric ratio to solve O 6 in O 10 in 14 in O24 in

The base of the right triangle drawn in the regular octagon measures 0 7 cm 1 9 cm 0 7 cm What is the perimeter of the octagon 11 2 cm 14 1 cm O 15 2 cm 20 8 cm

The area of the regular hexagon is 169 74 ft2 7 ft What is the perimeter rounded to the nearest tenth O 24 2 ft 28 3 ft O 48 5 ft O 56 8 ft