If ΔOPQ is dilated from point Q by a scale factor of 3, which of the following equations is true about segment R prime S prime? Triangle OPQ is shown with point R lying on side OP and point S lying on side OQ Line RS is perpendicular to side OQ.

segment R prime S prime = one half segment RS
segment R prime S prime = two segment RS
segment R prime S prime = segment RS
segment R prime S prime = three segment RS

Step-by-step explanation:

The scale factor of dilation of triangle ΔOPQ, S.F. = 3

The center of dilation = Point Q

Therefore;

The length of the segment, = 3 × The length of the segment,

Similarly;

The length of the segment, = 3 × The length of the segment,

By Pythagoras theorem, we have;

Therefore;

.

$30.32

step-by-step explanation:

65.00*.12=2.80

65.00-2.80=57.20

57.20*1.06=60.632

60.632/2=30.316

answer: the sun

explanation:

water cycle describes the evaporation of water from earth's surface, formation of clouds and precipitation water back onto the surface of earth. seventy percent of the earth is covered with water in the form of seas and oceans. the heat of the sun causes the evaporation of water from the surface of the ocean. the water vapors rise and condense to form water droplets. the collection of these water droplets form clouds which rain down again.

the evaporation of the oceans surface water as part of the water cycle is caused by the sun