Geometry Answers

Show the complete solution An anchor chain is wound around a drum with radius 1.5 ft.If the Drum is rotated through an angle of 250° how far will the anchor be lowered?

This is the first year Ralph is playing softball,he has been practicing per batting On his last swing the bat made an arc with a radius of 45 inches and swept through 250° of rotation Assuming the arc is circular what is the distance the tip of the bat travels to the nearest inch? How many feet is this rounded to the nearest foot?

If a and b denotes the vectors OA and OB, indicate on the same diagram the vectors OC and OD denoted a+b and a-b. Draw on another diagram the vector OE denoted by a+2b

The base of the parallelogram is 154 cm and its diagonal make an angle 28° and 43° with the base. Find the length of the longer diagonal. 

Given: m<1+m<2=m<4

prove: m<3+m<1+m<2=180

PQ = 3x + 7, QR = 5x − 19

Provide the missing statement and reasons for the following proof:

Given: <BDA ~= <A

Prove:  x=3

statement reason

S1. <BDA ~= <A R1. Given

S2. <BDA ~= <CDE R2.

S3. <CDE ~= <A R3. Transitive Property of Congruence

S4. m<CDE = m<A R4.

S5. R5. Substitution Property of Equality

S6. 14x = 13x + 3 R6.

S7. x = 3 R7. Subtraction Property of Equality

1. Provide the missing statement and reasons for the following proof:

          Given:  9(x+6)−41=75

Prove:  x=62/9

statement reason

S1. 9(x + 6) - 41 = 75 R1.

S2. 9(x + 6) =116 R2.

S3. R3. Distributive Property

S4. 9x = 62 R4.

S5. x = 62/9 R5.

2.Provide the missing statement and reasons for the following proof:

Prove:  m∠Z+m∠X+m∠Y=180°

statement reasoning

S1. m<X + m<Y = m<W R1. Given

S2. <Z and <W form a Linear pair R2. Definition of Linear Pair

S3. <Z and <W are supplementary R3.

S4. R4. Definition of supplementary

S5. m<Z + m<Y = 180degrees R5.

A survey crew worker uses a site instrument that is on a 4-ft stand. He sites a spot on the road 66 feet away. What is the grade, to the nearest whole percent?