Geometry Questions

Find and then AB and BC 4x 7 A X B AB BC H 7x 8 Note Always make sure the value of a produces positive lengths C

Find the measure of ZBAC A B 86 H C

Find the missing angles x Y 74 U1 C O O

Then describe the tra language and specific number in the textbox T Vi 8 Graph x y 2x 2y A 2 3 B 4 2 C 2 5 X T 5 fi 8 5 0 A

Given AB find x 112 a A 3x 31 B 2x 11

Given quadrilateral ABCD where the diagonals AC and BD intersect at point E AE EC and BE DE Can you prove can you prove that the figure is a parallelogram Explain A Yes opposite sides are congruent B Yes diagonals of a parallelogram bisect each other C No you cannot determine that the quadrilateral is a parallelogram D Yes two opposite sides are both parallel and congruent

Find the value of x Y 5 5 T P A 5 5 B 1 1 C 6 6 D 8 8 x 12 1 W M

d the indicated maximum or minimum value of the objective function in the linear programming pr Maximize f 70x 20y subject to the following x 2y 48 x y 30 2x y 50 x 0 y 20

Find 0 if tan 0 3 6 0 0 360 Round to two decimal places and use a semicolon to separate answers if there is more than one answer

The given two triangles are similar If the sum of the measures of two angles in a triangle is 85 what is the corresponding sum of the measures of the angles in the other triangle C 85 O 95 O 275 A B

In India many families use mini solar cookers on their balconies In most instances the sun s rays reflect off the parabolic mirror toward the dish which is placed 32 cm from the center of the cooker The distance from the vertex to the edge of the cooker is 68 cm Use the diagram to help answer the discussion questions them Ergo of Cook 12m 320 Certs of C01 Edge of Co What are the coordinates of the edges of the cooker What is the distance all the way across the cooker from the two points labelled edge of cooker

Find the lateral and surface area Write either in terms of x3C0 or rounded to the hundredths 9 in Lateral Area Surface Area 22 in

Step 1 How many ways can you choose 3 Jolly Ranchers in a jar containing 15 Jolly Ranchers This is n S Step 2 n S 15C3

1 2 3 18 4 12 15 For problems 4 5 find the indicated segment length Assume that lines or segments which appear to be tangent are tangent 12 16 D

bu roll a 6 sided number cube Use the complement to determine the probability of not rolling a 4

A coin is flipped 8 times and the result is recorded What is the probability of getting exactly 3 heads Find n S and n A Then find the probability by using P A Round to the nearest hundredth n A n S

right triangle 6 7 8 A 16 x 3 M 16 B 8 12 x 3 20 16 6 6 9 Find the length of segment NM K A N 13 12 B B 10 Find the length of segment HG

There are 52 cards in a standard deck If you shuffle the deck how many combinations of 5 cards are there

In a standard deck of cards there are 26 different red cards How many possible combinations of 5 red cards are there from those 26 cards Note Below are the 26 different red cards in a standard deck

5 10 pts Analyze the equation that is find the center foci and vertices of the ellipse 4x 2 y 2 8x 4y 4 0 Graph the equation

S x 5 S x 8 M F 10 4 9 Find the length of segment CE E K N 3 2x 17 4 9 W 2 10 Find the length of segment KM L D C

Vanessa Samantha Hannah and Jordyn are all part of a 12 member volleyball team Four members of the team are randomly selected to fill the water jug for the day What is the probability that all four of them will be chosen

A coin is flipped 10 times and the result is recorded What is the probability of getting exactly 4 tails

Use the following formula for problem 8 9 P A n S Total Sample Space of outcomes n A Total Outcomes wanted n A n S There are 52 cards in a standard deck 20 of those cards are Jacks Queens Kings Aces or Tens In the game blackjack these are very valuable cards

A bag contains 8 marbles of different colors How many ways unique ways or orders can you select 3 marbles

How many different permutations can be formed using all the letters in the word COLORADO

A student government class has 20 students Four students will be chosen at random to represent the school at a city council meeting Is this a permutation or combination Explain How many different ways can 4 students be chosen from a group of 20

3 10 pts Find the vertex focus and the directrix of the parabola y 4y 4x 4 0 Graph the equation

Find the quadratic function that is the best fit for f x defined by the table below 2 4 6 8 10 402 1605 3604 6409 10 002 X f x 0 0 O The quadratic function is y Tyne an equation using x as the variable Round to two decimal places as needed

The height in centimeters of a candle is a linear function of the amount of time in hours it has been burning When graphed the function gives a line wit slope of 0 3 See the figure below Suppose that the height of the candle after 20 hours is 23 centimeters What was the height of the candle after 13 hours Candle height in cm 23 20 Burning time in hours centimeters X S

Set B and Set C are grouped according to the Venn Diagram below Set B is 9 12 14 17 18 and Set C is 6 9 11 12 18 19 The sample space is 1 6 9 11 12 14 17 18 19 20 Find P C point 1 17 B 12 20 O 18 C 19 6

A 5 6 7 8 9 10 and B 2 3 4 5 11 12 13 What is A U B 1 point

A 5 6 7 8 9 10 and B 2 3 4 5 11 12 13

In a standard deck of cards there three royal cards Jack Queen and King How many different combinations of these three cards are there Keep in mind that there are four of each royal card

There are 7different crayons shown Two crayons are chosen at random What is the probability that the two crayon chosen crayons are silver and green 72 A Use the following formula for the problem below P A n S n S Total Sample Space of outcomes cadet blue silver salmon yellow gre turquoise blue wild strawberry green

A bag contains 26 tiles each with a different letter of the alphabet written on it You choose 3 tiles from the bag without looking What is the probability that the tiles you chose consist of the letters A B and C Leave your answer as a fraction th 6 11 4 O 3 U B 03

There are 7 ice cream flavors to choose from How many different combinations of triple scoops are possible

There are 7 ice cream flavors to choose from What is the probability that a triple scoop chosen at random contains all three of your favorite flavors Be sure to round your answer to the nearest hundredth A B 0 01 0 02 0 03

There are 10 applicants for four Computer Programming positions In how many ways can you possibly hire four people

There are 13 players on the Volleyball team Six players are actively on the court at any given time How nany team arrangements are possible

If all the letters in the word ENVELOPE are randomly rearranged what is the probability the letters will spell the word ENVELOPE A B C D 3 28 1 720 1 1120 6720 P FRENCH NUMER G 20 SHEMAL

There are 8 finalist in the 100 meter dash at the Olympic Games At the end of the 100 meter dash 3 medals will be given to the 1st place 2nd place and 3rd place winner Suppose 3 of the 8 finalist are from the United States and that all Finalist are equally likely to win What is the probability that the United States will win no medals in this event

The school jazz band has 4 boys and 4 girls and are randomly lined up for a yearbook photo Find the probability of getting all of the boys grouped together

Find the distance between the skew lines with parametric equations x 3 t y 2 6t z 2t and x 2 2s y 6 15s z 3 6s 351 6814

the area of the trapezoid 10 ft D ct one 156 ft 16 ft 78 ft C d 13 ft 78 2 ft eck 45 the area of the kite 3 cm 3 cm 3 cm

Find the area of a trapezoid with bases 8 in and 7 in and height 5 2 in

Click here to watch the video Use identities to find values of the sine and cosine functions for the angle measure e given that cos 20 12 13 and 90 0 180 CRED 26 sin 0 26 Simplify your answer including any radicals Use integers or fractions for any numbers in the expression Rationalize all denominators cos 13 Simplify your answer including any radicals Use integers or fractions for any numbers in the expression Rationalize all denominators

Find the area of the rhombus Each indicated distance is half the length of its respective diagonal ft Simplify your answer 5 ft 3 ft Save

Find the area of the trapezoid If the answer is not an integer leave it in simplest radical form The figure is not to scale A ft Type an exact answer using radicals as needed 14 ft 25 ft 7 ft

Find the area of the trapezoid to the nearest tenth A m 0 5 m 1 0 m 45 1 2 m