Given: and

Prove: slope of × slope of = -1

Statements Reasons
1.
is similar to Given
2. Property of similar triangles
3. slope of
slope of Definition of slope
4. slope of slope of Multiplying the slopes
5. slope of slope of Substitution property of equality
6. slope of slope of = -1 Simplifying the right side

The table shows the proof of the relationship between the slopes of two perpendicular lines. What is the missing statement in step 2?

A.

B.

C.

D.

The following division is being performed using multiplication by the reciprocal find the missing numbers is 5/12 divided by x/3 equals 5/12 times x/10 equals 1/x

Acompany manufactures large valves, packed in boxes. a shipment consists of 1500 valves packed in 75 boxes. each box has the outer dimensions 1.2 x 0.8 x 1.6 m and the inner dimensions 1.19 x 0.79 x 1.59 m. the boxes are loaded on a vehicle (truck + trailer). the available capacity in the vehicle combination is 140 m3. each valve has a volume of 0.06 m3. - calculate the load factor on the box level (%). - calculate the load factor on the vehicle level (%). - calculate the overall load factor (%).

Draw a scaled copy of the circle using a scale factor of 2