19. 2 angles are complementary.?

Question

the sum of the measure of the 1st angle and half the 2nd angle is 82degrees. find the measure of the angles.
measure of smaller angle?
measure of other angle?

20. snookers lumber can convert logs into either lumber or plywood. in a given day, the mill turns out twice as many units of plywood than lumber. it makes a profit of 20$ on a unit of lumber and 50$ on a unit of plywood. how many of each unit must be produced and sold in order to make a profit of 12480?
they must produce and sell __ units of lumber and __ units of plywood to make a profit of 12480$

Anonymous · Accepted Answer

if the sum of two angles is 90 degree then the angles are said to be complementary.

mathgeek · Answer

Draw the picture and label your variables, and use the facts given: two complementary angles total to 90 degrees

x = first angle, 90 - x = second angle

x + (1/2)(90 - x) = 82
x+45 - x/2 = 82

x/2 = 82 - 45 = 37

x = 74, 90 - x = 16

*******************************************************
x= lumber, 20x = profit lumber
2x = plywood, 50(2x) = profit plywood

20x + 50 (2x) = 12480
120x = 12480
x = 104 units of lumber
2x= 208 units of plywood

Don't forget the units!!!

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19. 2 angles are complementary.?

2 Answers