You're right, that's the required operation.
Because they want to know how many glasses can be full, the answer is 15.
It will cost 6.50$ because you divide 15.60/12 to find how much one pound is and then multiply by five to get $6.50
Answers:
- x = 4
- angle CAB = 26 degrees
- angle ABC = 24 degrees
Depending on your teacher, you may or may not have to input the word "degrees" or the degree symbol.
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Explanation:
We use the remote interior angle theorem.
This says to add two interior angles, and the sum is equal to the exterior angle that is not adjacent to any of the interior ones. Hence the "remote".
(angle CAB) + (angle ABC) = exterior angle
(6x+2) + (9x-12) = 50
15x-10 = 50
15x = 50+10
15x = 60
x = 60/15
x = 4 is the first answer
We can then find the interior angles
angle CAB = 6x+2 = 6(4)+2 = 24+2 = 26 degrees is the second answer
angle ABC = 9x-12 = 9(4)-12 = 36-12 = 24 degrees is the third answer
Then notice how 26+24 = 50 to help confirm the answers.
