Geometry Questions

4 For the 30 60 90 triangle shown suppose that XX 2a Find a XZ b YZ 60 X 30 Z Exercises 3 4

Exercises 9 12 10 Given Find E D Right ADEF with m F 30 and FE DF and DE

In Exercises 5 to 22 find the missing lengths Give your answers in both simplest radical form and as approximations correct to two decimal places X N Exercises 5 8 7 Given Find Right AXYZ with XZ YZ and XY 10V 2 Y7 and Y7

A College is trying to determine if there is a significant difference in the mean GMAT score of students from different undergraduate backgrounds who apply to the MBA program The accompanying GMAT Sc data comes from a sample of students What conclusion can be reached using ANOVA Click the icon to view the GMAT Scores data Determine the null hypothesis and the alternative hypothesis Ho H H H3 H at least one mean is different from the others Find the F test statistic F 15 26 Type an integer or decimal rounded to two decimal places as needed Find the p value p Type an integer or decimal rounded to three decimal places as needed GMAT Scores Data GMAT Scores by Undergraduate Major Business Liberal Arts 578 Sciences 593 583 585 583 592 568 567 599 603 593 572 589 562 576 583 570 562 575 571 607 606 582 593 608 592 595 593 604 582 616 588 595 616 585 609 C X

ARST AFGH S H 90 1 40 R Find the missing length

4 10pts Find the perimeter and the area of the outlined region on the followin geoboard if the unit of measurements is 1 cm Label units accurately P

Find the point on the unit circle for the given rotation of t 6 18 5 6 a t T b t 3 10 4 3 T

Problem 4 Jenny owns a bicycle with a chainring peddle gear with a radius of 7 inches The sprocket small gear at the center of the rear wheel has radius inches Finally the rear wheel has a radius of 20 inches If Jenny peddles at a rate of 1 revolution per second how fast will the bike be moving in feet per second

wen B CB FAB and CAB 90 rove AFBA ACBA Statement 1 FB CB 2 FAB and CAB 90 3 4 AFBA ACBA

Find the surface area obtained by rotating 1 x 2 1 x 1 about the x axis

Use the given information to prove that ADEF ADGF G 1 2 3 4 F D Statement EF GF 0 DF DF DE E ADEF ADGF Given EF GF DE DG Prove ADEF ADGF Reason Reason Given Reason Reason

Given AC DC KARKD Prove AABC ADEC IG 9 Complete the Two Column Pro Statement 1 AC DC 2 AD Reas 1 G 12 3 ACBDCE 3 4 AABC ADEC 4

IF 3 If the triangles are congruent Identify the property Triangle Congruence Conjecture 4 Name the congruent triangles listing corresponding vertices in a ca EX AABC ADEF You can use the symbol to create the statement use the Insert If the Triangles are NOT congruent explain why the triangles can t be congruent what information is missing needed BU Font Family AA

In the figure below points T R X Y and Z lie in plane P Points and S do not lie in plane P For each part below fill in the blanks to write a true statement R a Another name for plane P is plane b and X are distinct points that are collinear c Y O O and are distinct points that are coplanar d Suppose line QT is drawn on the figure Then QT and 0 are distinct lines that intersect

10 Determine if the following triangles are congru If the triangles are congruent identify the property 47 SAS SSS O ASA O AAS Not Congruent

stem of equations to solve the following problem any ounces of a 17 alcohol solution and a 33 alcohol solution must be combined to obtain 52 ounces of a 29 solution enter your answer opens in new window Jounces of 17 alcohol solution Jounces of 33 alcohol solution

6 5 4 3 2 1 5 4 3 2 y 1 2 5 Write an equation for the function graphed above 1 2 3 4 5 6 Question Help Video

Given the triangle below find the measure of angle A Picture is not drawn to scale A 13 20 A 24 Q degrees Give your answer accurate to at least one decimal place

Let L be the line given by 3 1 2 1 1 1 1 for t R 12 1 Show that the above line L lies on the plane 2x 3y 4z 1 0 12 2 Find an equation for the plane through the point P 3 2 4 that is perpendicular to the line 8 2 0 t 3 2 7

5 Each side of a rhombus measures 12 in If one diagonal is 18 in long how long is the other diagonal

T ARST Exercises 1 6 3 Use Lemma 5 4 3 to form a proportion in which RS is a geometric mean HINT ARVS S

9 Find EF if a DF b DF 17 and DE 15 12 and DE 8V 2 D Exercises 7 10

1 A rectangle has a width of 16 cm and a diagonal of length 20 cm How long is the rectangle

15 A guy wire 25 ft long supports an antenna at a point that is 20 ft above the base of the antenna How far from the base of the antenna is the guy wire secured 20 ft

1 Determine whether each triple a b c is a Pythagorean triple a 3 4 5 b 4 5 6 c 5 12 13 d 6 13 15

b 4 a 25 Find the measure of b

P 1 3 1 0 y In the xy plane above O is the center c circle and the measure of ZPOQ is a Q What is the cosine of a

ma circle of radius 7 feet what angle would subtend an arc of length 2 feet degrees

Find the coordinates of a point on a circle with radius 20 corresponding to an angle of 170 x y Round your answers to three decimal places

4 6 pts It is know that a triangle has A 15 a 10 b 40 Solve the triangle giving all possible solutions

3 6 pts To approximate the area of a lake Cindy walks around the perimeter of the lake taking the measurements shown in the illustration Using these values estimate the area of the lake 50 125 100 50 70 100 50 1

Triangle ABC shown below has mZA 65 b 10 and c 12 Find the area of the triangle Round your answer to the nearest tenth and do not include units in your answer A 12 65 B 10 a C

6 pts To approximate the area of a lake Cindy walks around the perimeter of the lake taking the measurements shown in the illustration Using these values estimate the area of the lake 50 125 100 50 70 100 50

5 pts It is know that a triangle has A 15 a 10 b 40 Solve the triangle giving all possible solutions

Write a sine function with the given characteristics Amplitude 5 2 Period 3 Phase Shift 15 Format your answer to look like this A sin w

AABC is similar to ADEF b D B c F 21 Find the measure of each angle a C C

In order to buy a vacation home Neal and Lilly took out a 10 year mortgage for 150 000 at an annual interest rate of 8 After 7 years they refinanced the unpaid balance of 58 123 at an annual rate of 5 Use the table to find the monthly payments on the original loan the monthly payments on the new loan and the total amount saved on interest by refinancing Click the icon to view a table of monthly payments on a 1 000 loan The monthly payments on the original loan are Type an integer or a decimal

Using both triangles ABC and HKQ match the following points or line segments with the terms that best describes them Centroid Orthocenter Median Midpoint Altitude E C 0 A Choose Choose Choose Choose Choose V

The figure shows a small plane flying at a speed of 184 miles per hour on a bearing of N47 E The wind is blowing from west to east at 46 miles per hour The figure indicates that v represents the velocity of the plane in still air and w represents the velocity of the wind Plane s speed 184 miles per hour 47 V W Wind s speed 46 miles per hour a Express v and w in terms of their magnitudes and direction angles COS OA v 184 cos 43 i 184 sin 43 j w 46 cos 0 i 46 sin 0 j O B v 184 sin 47 i 184 cos 47 j w 46 sin 0 i 46 L j OC v 184 cos 47 i 184 sin 47 j w 46 cos 43 i 46 sin 43 j OD v 184 sin 43 i 184 cos 43 j w 46 sin 0 i 46 cos 0 j

Pasadena Candle Inc budgeted production of 785 000 candles for January Each candle requires molding Assume that six minutes are required t mold each candle If molding labor costs 18 per hour determine the direct labor cost budget for January Hours required for assembly Candles Convert minutes to hours Molding hours Hourly rate Total direct labor cost Feedback Pasadena Candle Inc Direct Labor Cost Budget For the Month Ending January 31 1 413 000 min X min hrs Check My Work Use minutes for your base calculation and then convert to hours Compute the total minutes required to mold the number of candles produced Then convert to hours

In the figure below points X Z Q R and S lie in plane P Points I and Y do not lie in plane P For each part below fill in the blanks to write a true statement T X Y Z Q R S P a Point Z and lineare coplanar b Suppose line ZY is drawn on the figure Then Z and are distinct lines that intersec c Another name for plane P is plane d and R are distinct points that are collinear

In the figure below points F C B and A lie in plane X Points D and E do not lie in plane X For each part below fill in the blanks to write a true statement OFF B X E a Another name for plane X is plane b 4 0 0 and are distinct points that are coplanar c and C are distinct points that are collinear d ED and are distinct lines that intersect

lain how to solve the following equations by reasoning about nur rations and expressions Do not use standard algebraic equation niques Specifically avoid things like subtract from both sides you would explain this to a student not me 18 36 x 20 36 348 926 x 350 17 x 48 50 984 17 31 x 47 62

Calculate the average rate of change of f x x x 3 on the interva 2 5 3 marks

The triangles are similar Find x and y X y D 5 ft 8 ft E 4 ft H 11 25 ft y ft

What is the entropy change of 1 mol of XO3 for the reaction XO2 g 1 202 g XO3 g XO2 S 247 11 O2 S 205 0 XO3 S 247 76 Give answer to two decimal places Do not include units in your answer Your Answer

Given the following equation N2O g NO2 g Calculate AG rxn for the following reaction 3 NO g N2O g NO2 g Your Answer 3 NO g AG rxn 60 kJ

Use the standard reaction energies given below to determine AG rxn for the following reaction 2XO2 g 2XO g O2 g From the standard reaction energy of X2 g O2 2XO g DG 163 77 kJxmol 1 X2 g 2O2 g 2XO2 g DG 190 17 kJxmol 1 Give answer in KJ mol Give answer to two decimal places Do not include units in answer Your Answer

Calculate AGrxn at 298 K under the conditions shown below for the following reaction Fe2O3 s 3 CO g 2 Fe s 3 CO2 g AG 34 1 kJ 1 P CO 0 7 atm P CO2 1 7 atm Please report the answer with one decimal place Your Answer

Question 9 Points 2 Which of the following is NOT an example of circumscribed angle