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Svetlanka [38]
3 years ago
10

The ratio of the measure of two supplementary angles is 15:21. What is the measure of the smallest angle?

Mathematics
1 answer:
anyanavicka [17]3 years ago
3 0

Answer:

75

Step-by-step explanation:

The measure of two supplementary angles =  15:21

The angles are  15x , 21x

15x + 21x = 180       {Supplementary}

         36x = 180

             x = 180/36

             x = 5

Smallest angle = 15 * 5 = 75

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3 years ago
Two boxes contained 155 lb of flour. If you take 20 lb from the first and add it to the second, the first box will contain 12 19
gladu [14]

Answer:

First and second box had 80 and 75 lb flour originally.

Step-by-step explanation:

Let the two boxes contained x lb and y lb of the flour respectively.

Both the boxes contained 155 lb of flour in total.

So the first equation will be,

x + y = 155 --------(1)

If the 20 lb of the flour is taken out then amount of flour in first box = (x - 20) lb

and added to the second box then flour in second box = (y + 20) lb

After the mixing of flour statement says that "the first box will contain \frac{12}{19} of the flour now in the second box."

For this statement equation will be

(x-20)=\frac{12}{19}(y+20)

19(x - 20) = 12(y + 20)

19x - 12y = 380 + 240

19x - 12y = 620 ------(2)

Equation (1) × 12 + equation (2)

12(x + y) + (19x - 12y) = 155×12 + 620

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y = 155 - 80

y = 75 lb.

Therefore, first and second boxes had 80 lb and 75 lb of flour originally.

3 0
3 years ago
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