Geometry Questions

14 Given Find m 1 63 mRS mVT x mRS 3x 6 R 2 Exercises 14 15 T V

Find SR 3 and RQ QSL TV at R a RV b TV 4 T S R W G Exercises 16 17

9 Given Find Tangents AB and AC to OO m ACB 68 a mBC b mBDC c m ABC d MZA C Exercises 8 9 A B A

R T Exercises 3 5 W S 5 Find m RST if mRT m TS 1 4

Find the area of overlap in the two circles below The smaller circle has a radius of 7 97 cm and the larger circle has radius 10 6 cm The distance between the centers of the circles is 11 67 cm 2arccos A 1800 sine c a b 2abcosC D The second box is for you to enter your answer

10 Given Find d m A m 1 mDC a mAB b m 2 72 34 A B Exercises 10 11 D

In the figure for Exercises 7 to 16 O is the center of the circle See Theorem 6 3 5 11 Given Find AE CB 6 EC 3 AD 8 D A E Exercises 7 16 3 B C

In Exercises 25 and 26 CA and CB are tangents 25 Given mAB x Prove m 1 180 X A B Exercises 25 26 X 1

3 Given 2 Find R T Circle O with diameter RS tangent SW chor TS and mRT 26 a m WSR b m RST c m WST W S

12 ar 18 AB is the common chord of OO and OQ If AB each circle has a radius of length 10 how long is OQ A B

13 Given Find OO with AB AC and 72 m BOC a mBC b mAB c m A d m ABC e m ABO B ST A

For Exercises 1 to 8 use the figure provided A B Exercises 1 8 1 If mAC 58 find m B 46 find m 0 3 If mDE 47 6 find m 0 4 If mAC 56 4 find m B 5 Ifm B 28 3 find mAC 6 If m O 48 3 find mDE 7 If mDE 2 If mDE U 47 find the measure of the reflex angle tha

For Exercises 1 to 8 use the figure provided A Exercises 1 8 E LU B D

10 Given Find ST SR is a diameter a mST b mTR c mSTR d m S SR in OQ HINT Draw QT T R

14 Given Find R S Right ARST with RT m STV 150 RS and ST T V 6 2

Exercises 9 12 12 Given Find E Right ADEF with m E EF 12V 3 DE and DE 2 m F and

In Exercises 15 to 19 create drawings as needed

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