Geometry Questions

LM is the midsegment of ABCD AB 72 and DC 104 What is LM D O O O L 98 32 88 O 176 A B M C

After graduating from college Carlos receives two different job offers Both pay a starting salary of 73000 per year but one job promises a 4380 raise per year while the other guarantees a 5 raise each year Complete the tables below to determine what his salary will be after t years Round your answers to the nearest dollar t years Salary with 4380 raise per year t years Salary with 5 raise per year 77380 76650 1 1 81760 5 5 80482 5 X 86140 10 10 X 84506 63 15 X 90520 X 15 88731 96 X 20 94900 20 X 93168 55 X X

One corner of a strip of paper a em wide is folded up so that it lies along the opposite edge see figure 1 Find the least possible for the fold length fold Figure 1 Visualization of the problem

A solid metal prism has a rectangular base with sides of 4 inches and 6 inches and a height of 4 inches A hole in the shape of a cylinder with a radius of 1 inch is drilled through the entire length of the rectangular prism 4 in in 4 in 6 in What is the approximate volume of the remaining solid in cubic inches

The greenhouse pictured below can be modeled as a rectangular prism with a half cylinder on top The rectangular prism is 20 feet wide 12 feet high and 45 feet long The half cylinder has a diameter of 20 feet 12 ft 20 ft 45 ft Op To the nearest cubic foot what is the volume of the greenhouse 1 17 869 3 39 074

Find the missing values of the variables The diagram is not to scale 106 to Oy 119 Ox 93 y 74 Ox 74 y 103 Ox 103 y 119 Ox 74 y 93 74

Based on the information given can you determine that the quadrilateral must be a parallelogram Explain Given XN NZ and NY NW Y W X N 2 Yes opposite sides are congruent Yes two opposite sides are both parallel and congruent No you cannot determine that the quadrilateral is a parallelogram Yes diagonals of a parallelogram bisect each other

Find the value of x W S RD 11x 12 36 U T

Select the correct answer Katie is playing a game using a 26 card deck that contains the black suits of the cards which are 13 clubs and 13 spades She can score bonus points if she draws a face card on her next turn What is the probability that Katie will draw a king queen or jack on her next turn OA OB OC OD 3166 Reset Next

Parallelogram ABCD has the angle measures shown Can you conclude that it is a rhombus a rectangle or a square Explain 66 166 66 1 66 There is not enough information Parallelogram ABCD is a rectangle because the diagonal creates congruent angles Parallelogram ABCD is a square because all four angles have the same measure Parallelogram ABCD is a rhombus because the diagonal bisects two

Complete the truth tables below 15 p V q 16 p r

O True O False Question 4 1 5 pts Activated ignorance means taking into the mind and actively using information that is false though we mistakenly think it to be true True

Name the major arc and find its measure D BDA 310 OAB 310 AB 50 OBDA 50 A B

The triangles are similar The area of the larger triangle is 563 ft Find the area of the smaller triangle to the nearest whole number A A 24 ft 21 ft Not drawn to scale O 431 ft 2 2 O 441 ft O 576 ft O 735 ft

7 Given the below diagram prove which congruence theorem will support each case DOK 4 C B E A a If ZBAC DCA state the congruence theorem and prove AABE ACDE D b If BD bisects AC and AC bisects BD state the theorem and prove the AABE ACDE CAR

Given the horizontal circle readings below answer the following questions 1 FL 99 25 30 2 FL 125 25 25 3 FL 312 47 12 3 FR 132 47 07 2 FR 305 25 18 1 FR 279 25 23 Reduce the horizontal circle readings and enter them in the boxes provided 16 1 2 3 O 11 11

P x 7 84 V W R x 21 84 Which equation can be used to solve for x 21x 84 3 x 7 84 S 3x 7 84 x 7 T

Convert the following to logarithmic form x 4 2 k Select one O a log 4 2 k x O b logx 2 k 4 Oc logx 2 k 4 d log 4 2 k x

Find the area Round to the nearest whole number Image O 70 units O 35 units2 O 28 units2 O 14 units 5

In the figure shown O a O b Oc Od B m AED 122 E D and C m BEC 58 BEC ZCED and m AEB 58 ZAEB ZDEC Which of the following statements is false are adjacent angles are vertical angles

If 4 64 Select one a 2 b 3 b C 4 d 3 solve for x

If 2x 16 solve for x Select one a 3 2 O b 16 OC 4 O d 2

Find the standard form of the equation for the ellipse centered at 0 0 having vertical major axis of length 26 and minor axis of length 10 Graph the equation REER The equation of the ellipse in the standard form is Type exact answers using radicals as needed Use integers or fractions for any numbers in the equation 1

Solve the following equation 2x 16 1 4 Select one a 4 Ob 2 C 4 Od 1

Solve the following equation 2x 1 3x Select one a 1 60 O b 1 73 O c 1 69 Od 1 71

Solve 82 64 find value of z Select one O a 2 Ob 1 2 OC 2 3 d 3 2

Solve the following equation 2x 82x 9 0 Select one Oa 3 2 Ob 9 3 c 9 3 Od 6 9

Find the x intercepts of the polynomial function State whether the graph crosses the x axis or touches the x axis and turns around at each interc 2 4 f x x 9x O A 0 touches the x axis and turns around 3 crosses the x axis 3 crosses the x axis OB 0 crosses the x axis 3 crosses the x axis 3 crosses the x axis OC 0 touches the x axis and turns around 9 touches the x axis and turns around O D 0 touches the x axis and turns around

Complete the following sentence The inverse of a line with a positive slope is always a line with a negative slope

The inverse of the function is the reflection of the function across the line y x Select one O True False

A function is defined by f x 4x Graph f x and f 1 x on the same axis 10 Select one a b 5 10 10 5 10 10 X X

A function f is defined by f x x2 Find f 2 Select one O a 3 O b 2 C 4 Od 1

Which graph is not a function Select one o a O b d y 3 44 X 3 13 y 3 x x 3

A function from X domain to Y range is a relation that matches each element x of X to exactly one element y of Y 2 3 Select one O True False 3 45 7 9

For what value of x is the figure a rectangle rectangle 6x X Y A Z AY XZ 5x

State whether the given parallelogram is a rhombus rectangle or square NP OQ N R D P T Choose Choose Choose

For what value of x is the given figure a rectangle rectangle B R 7x 2 5x 16 MB RO M

Determine whether the parallelogram is a rhombus a rectangle or a square Give the most precis description A parallelogram has perpendicular diagonals and angle measures of 45 135 45 and 135 Select one A rhombus B rectangle C square

For what value of x is the figure a rhombus rhombus 6x 32 17x 1

In quadrilateral ABCD m ZACD 2x 4 and m ZACB 5x 8 For what value of x is ABCD a rhombus A 3 B 4 O A N C Select one O D A B O B C 5 D 6

In quadrilateral ABCD AE x 6 and BE 3x 18 For what value of x is ABCD a rectangle B A 18 B 12 Select one A B C E C 16 D 14

For what value of x is the parallelogram a rectangle The parallelogram is a rectangle when x Type a whole number C

For what value of x is the figure a rhombus The value of x is 1 Simplify your answer Type an integer or a fraction Points 0 of 1

A golf ball is selected at random from a golf bag The golf bag contains the following golf ball brands 9 Titleists 8 Maxflis and 3 Top Flites Find the probability that the golf ball is A Titleist or Top Flites Select one or more a 3 b BE C 370 d 60 d als

Classify the quadrilateral as precisely as possible Select one A kite B rectangle C square D rhombus E parallelogram F isosceles trapezoid

or problems 6 and 7 use the figure below 6 2X Classify the quadrilateral Select one 2y 2 a square Ob rhombus c parallelogram d rectangle Find the values of x and y Note Input answer as x y

Find the value of the variables Note Input answer as x y A B 2x 10 2x 10 Nor y 20 C D

Find the values of the variables Note Input answer as a m 89 50 m 64

Choose the quadrilaterals that have the given property Diagonals are perpendicular Check all that apply Select one or more A square B parallelogram C rectangle D rhombus

Find the value of the variables Note Input answer as x y B A 5x 1 2x 21 C D 4x 2