Geometry Answers

Walking 300m south, then 500m north

If m<SDN=5x-2 and m<DNA=3x+4.

a. Find m<SDN

b. Find m<DSA

The area of a circle is calculated as πr squared. A square sheet of metal has sides 2p. The circle fits perfectly into the square : The area between the square and the circle is?

The basement for a house is being excavated and the rectangular hole measured 11m by 14,5m by 4m. The soil is being hauled away in a dump truck which has a an open- box bed of 4m by 3m by 200cm. The truck can't be overloaded at anytim. How many trips will the dump truck have to make to haul away all the soil?

The corresponding medians of two similar triangles are 8 and 20. If the perimeter of the larger triangle is 45, what is the perimeter of the smaller triangle?

In the circle graph, what is the measure of the central angle corresponding to each item?

The radius of a quarter circle is 7 meters. What is the quarter circle's perimeter?

Use 3.14 for ​𝜋.

Blood flows in an aorta of radius 1.0 cm at 30cm/s. What is the volume flow rate?

<e> m is a straight line with a 1 on the right side.

n is a straight line with a number 3 & 2 in the middle but there’s a diagonal line that goes straight through both lines and the numbers 3 & 2 are in between that diagonal line.

Given: Line m is parallel to line n.

Prove: <1 is supplementary to <3

statement: reason:

S1. Line m is parallel to line n. R1. given

S2. <1 =~ <2 R2. ?

S3. m<1 =~ m<2. R3. ?

S4. <2 & <3 for a linear pair. R4. definition of linear pair

S5. <2 is supplementary to <3 R5. ?

S6. m<2 + m<3 = 180° R6. definition of supplementary

S7. ? R7. Substitution Property of Equality

S8. ? R8. Definition of supplementary