Equation practice with angle addition

Mathematics

1 answer:

Triss [41]3 years ago

6 0

Answer:

36 degrees

Step-by-step explanation:

since, m<AOB is a right angle, we shall just create an equation:

M<AOB+M<BOC=90 degrees

Substitute: 6z-12+3z+30=90

Solve: 6z+3x=9z

-12+30=18

so, 9z+18=90 degrees

-18 -18

9z=72

z=8

So if z=8, then we should fit it so that it matches measure of AOB.

6z-12

6 times 8=48

48-12= 36

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Computing the ratio of raisins to ounces, it is found that due to the higher computed ratio, brand B advertises the greatest ratio of raisins per ounce.

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For brand A, there are 60 raisins in the 24-ounces box, thus the ratio is of $\frac{60}{24} = 2.5$ , that is, 2.5 raisins per ounce.
For brand B, there are 18 raisins in the 6-ounce box, 36 in the 12-ounce, and it follows this ratio, thus $\frac{36}{12} = \frac{18}{6} = 3$ , thus, 3 raisins per ounce.
For brand C, there are 20 raisins in the 10-ounce box, 30 in the 15-ounce, and so on, thus $\frac{20}{10} = \frac{30}{15} = 2$ , thus, 2 raisins per ounce.
Due to the higher computed ratio, brand B advertises the greatest ratio of raisins per ounce.