Geometry Questions

The Venn Diagram below models probabilities of three events A B and C A blue green B green yellow C Red only The probabilities for each event are given by the ratio of the area of the event to the total area of 72 For example E C is Red Only Area of Red Total Area So for the probability of Event C you have P C 18 1 18 12 6 72 4 0 25

2 E U19 8m 12 in 6 m 6 in 6 m Perimeter Perimeter Area Are

using the intercept method find all real solutions to the equation x 3 4x 3 x 2 2

5 Formula for area of a parallelogram Formula for area of a trapezoid 6 What is the shape below Formula for area of a triangle 8 cm Formula for area of a rhombus Find its area be sure to label your answer 16 cm

maximum safe incline for a ramp is B 5 degrees Is this ramp safe If not provide dimensions that would make the ramp safe 95 15 Hide Transcribed Text 4 Lesson 9 Practice Problem Ramps in a parking garage need to be both steep and safe The maximum safe incline for a ramp is 8 5 degrees Is this ramp 2 TS

Determine if the scenario involves mutually exclusive events A bag contains six yellow jerseys numbered one to six The bag also contains four purple jerseys numbered one to four You randomly pick a jersey It is purple or has a number greater than five Mutually Exclusive Not Mutually Exclusive

The numbers 1 through 15 are written on cards One card is chosen at random Event A is choosing a multiple of 5 Event B is choose an even number What is the probability of choosing an odd number 1 15 3 5 4 5 OLAF

Find the probability Leave your answer in simplest fraction form A six sided die is rolled A number less than 5 or an even number is rolled

Find the probability Leave your answer in simplest fractio form A magazine contains fourteen pages You open to a random page The page number is three or seven

Determine if the scenario involves overlapping events A six sided die is rolled A number less than 4 or a number greater than 4 is rolled O Overlapping O Not Overlapping

2 cos Z N 16 20 Y 12 X

or school performance a researcher collected data from 120 students The two way frequency table shows the number of students who passed and failed an exam and the number of students who got more or less than 6 hours of sleep the night before The results are shown in the table below Less than 6 hours of sleep More than 6 hours of sleep Total Question 1 50 Passed Exam Failed Exam Question 2 12 90 102 10 8 18 Total 22 98 120 To the nearest percent what is the probability that a student who failed the exam got less than 6 hours of sleep Do NOT include the percent symbol 0 2 pts 0 2 pts To the nearest percent what is the probability that a student who got less than 6 hours of sleep failed the

G is an enlargement of G Find the centre 0 0 scale factor 5T 5 5 G G 5

B is an enlargement of B Find the centre 5 scale factor 5 T B OB 0 0 2 2 5 5

48 PREPARING FOR MONDAY Factor the following quadratics a x 12x 32 b x 18x 81 C 1 x 14x 49

Geometry 3 A car dealership sells new and used cars SUVS and trucks They recorded the type of vehicle and whether it was new or used for the past 200 sales Complete the missing joint and marginal frequencies in the table below Type of Vehicle Car SUV Truck Mikayla Morris Two Way Tables Practice pdf Total New 41 124 New or Used Used 36 16 Total 91 65 4 Create a relative frequency table using the table from 3 by filling in all joint and marginal relative frequencies Type of Vehicle Car SUV Truck Total New New or Used Used Total

Use for questions 7 8 Students on a field trip were given choices for a quick breakfast They could choose milk or orange juice OJ for their drink then a muffin bagel or oatmeal 7 The number of students who chose each item is shown in the first table Complete the second table with the relative joint and marginal frequencies Breakfast llem Muffin Bagel Oatmeal Total Milk 8 18 4 30 Drink Choice d P oatmeal milk 85482 OJ 20 16 90 Total 28 72 20 120 Breakfast Item Muffin Bagel Oatmeal Total 8 If a student on the field trip is chosen at random find each probability a P orange juice b P not a bagel Milk e P orange juice muffin Drink Choice OJ c P milk with muffin Total f P bagel or muffin milk

2 Write the equation of the circle below Center Equation Radius

5 What is the radius of Circle A given x 5 y 7 8 a 4 b 8 c 4 2 d 2 2

3 The equation of circle A is x 7 y 2 25 Circle B has the same center as circle A but has diameter of 14 Write the equation of circle B

4 Write the equation of a circle with center 7 0 with radius 3 x 7 y 9 x y 7 9 x 7 y 3 x y 7 3

1 Write the equation of the circle 8 Center 7 6 5 3 A 2 T Radius 2 1 0 2 b 6 1 2

1 Avalon High School is changing their school colors and mascot They surveyed 125 students to ask their preference on the changes Complete each table by filling in the missing joint and marginal frequencies Answer the questions that follow to the right a How many students prefer the Hawks ascot Hawks Eagles Blue Black 25 32 Colors Red Silver 52 Total 48 b How many students prefer blue black c How many students prefer the Eagles

Drections Fnd each probability using the data given in the table The employees of a company were asked they are mored and if they have children ien 30 b Pinot married but with children s Pin den

Geometry 6 A group of 150 students were surveyed and asked their SAT score and whether they attended tutoring classes The results are shown in the table below Mikayla Morris Two Way Tables Practice pdf AT Score 1301 1600 901 1300 Tutoring Classes Yes No 5 14 64 35 a P took tutoring classes b P scored greater than 900 c P scored 1301 1600 no tutoring classes d P took tutoring classes scored 901 1300

Find the central angle measure x for the Mystery slice in the circle graph Do not round Genre Mystery Romance Self Help Cooking Biography Number of Books Sold 102 81 87 48 57 Romance Self Help Mystery Cooking Biography

chosen af random find each probability Aquarter not a penny 6 P dime not a nickel

17 Of the students at Wayland High School in the first quarter 48 made honor roll 30 had perfect attendance and 25 both made the honor roll and had perfect attendance If a student is chosen at random what is the probability that they have perfect attendance given they made the honor roll Use for questions 19 20 A group of students were surveyed and asked if they use Instagram or Snapchat The results of the survey are shown in the Venn diagram below If a student in this group is chosen at random find each probability 19 P uses Instagram does not use Snapchat 20 Instagram Snapchat 45 18 Of the homes on the market 38 have pools 70 have at least 3 bedrooms and 25 have both a pool and at least 3 bedrooms If a home is chosen at random what is the probability that it has a pool given it has at least 3 bedrooms 30 25 20 P does not use Instagram uses Snapchat

chosen at random find each probability 13 P has at least 4 sides not a hexagon 15 P not an octagon I not a triangle ugons and the rest are octogons It a fie is 14 P not a square has less than 7 sides 16 P octagon sum of interior angle measures is at least 600

1 P even at least 12 at random Find each probability 2 P perfect square odd

Use for questions 21 24 A group of 100 students were surveyed and asked if they play sports or have a part time job Of the students surveyed 40 play sports 68 have a part time job and 22 both play sports and have a part time job If a student from this group is chosen at random find each probability 21 P plays sports has a part time job 22 P plays sports and has a part time job plays sports 23 P has a part time job does not play sports 24 P does not play sports does not have a part time job

9 A month of the year is chosen at random What is the probability that the month has exactly 30 days given that it is no later than August 11 A card is chosen at random from a standard deck What is the probability that the card is a spade or a king given that it is black 10 The spinner below is spun once What is the probability that it lands on a letter given that it lands on an unshaded section m 5 9 78 12 Two dice are rolled What is the probability that at least one dice is showing a 2 given that the sum of the numbers on the dice is no more than 63

For a project in her Geometry class Hailey uses a mirror on the ground to measure the height of her school s flagpole She walks a distance of 11 15 meters from the flagpole then places a mirror on flat on the ground marked with an X at the center She then steps 1 35 meters to the other side of the mirror until she can see the top of the flagpole clearly marked in the X Her partner measures the distance from her eyes to the ground to be 1 55 meters How tall is the flagpole Round your answer to the nearest hundredth of a meter 1 55 m 1 35 m 11 15 m Diagram is not to scale

Given lines l m and n are parallel and cut by two transversal lines find the value of x Round your answer to the nearest tenth if necessary 3 n 13 X 20 12

To indirectly measure the distance across a river Carson stands on one side of the river and uses sight lines to a landmark on the opposite bank Carson draws the diagram below to show the lengths and angles that he measured Find PR the distance across the river Round your answer to the nearest foot R 135 ft 185 ft E 335 ft Diagram is not to scale

Given NO QR Enter segments in the blanks provided that would result in a true equation NO OP R V P Q N Submit Answer

Solve for x Round your answer to the nearest tenth if necessary 10 7 N Q X P 22 2 R 17 8

P A B C 9 in 25 2 in the diagram below of a dilation of AABC If AP 9 in AA 12 in and AC 8 4 in what is A C 14 7 in 19 6 in B 12 in 8 4 in C A B

In the diagram below ZT ZW ZU ZX Enter segments in the blanks provided that would result in a true equation U T ST SU S X W Submit Answer V

In the diagram below PQ is parallel to MN If MO 31 5 OQ 12 and NQ 9 find the length of PO Figures are not necessarily drawn to scale M N nswer Q P

Quadrilateral HIJK is similar to quadrilateral LMNO Find the measure of side NO Round your answer to the nearest tenth if necessary Figures are not drawn to scale K 23 H J 11 I L M 34 N

Apr 27 12 47 35 PM Watch help video Solve for x Figures are not necessarily drawn to scale 31 5 E 7 5 C 17 5 B X D

Apr 27 12 39 37 PM Watch help video If VW 87 WU 80 and ZX 48 find the length of Y Z Round your answer to the nearest tenth if necessary Figures are not necessarily drawn to scale U 76 W 41 63 V N 410 63 Y 76 X

If TU 20 UV 26 and XY 26 and XY 39 find the length of WX Round your answer to the nearest tenth if necessary Figures are not necessarily drawn to scale T 69 V 480 63 Answer WX U Y 48 Submit Answer X 63 69 W

1 Given that circle A has a center of 2 3 and a diameter of 10 a Write the equation of the circle

In the diagram below of triangle RST U is the midpoint of RT and V is the midpoint of ST If m TSR 2x 50 and m TVU 2x 50 and m TVU 41 5x what is the measure of TSR R U T S 8 EZZZA

In the diagram below of triangle PQR S is the midpoint of PR and T is the H midpoint of QR If ST 6x 11 and PQ 8x 38 what is the measure of ST P R T Q

2 The equation of circle B is x 8 y 2 2 8 Determine the coordinates of the center and radius a Center 8 2 r 8 b Center 8 2 r 2 2 c Center 8 2 r 8 d Center 8 2 r 2 2

Triangle DEF is similar to triangle GHI Find the measure of side HI Round your answer to the nearest tenth if necessary F 13 D 7 E 56 G H

Solve for all values of x Answer x 3 X P 37 4 2 alo