What type of math is this?
Answer:
The ratio of flour to sugar is 2:1
Step-by-step explanation:
Let f = weight of a bag of flour
Let s = weight of a bag of sugar
3f+2s = 32
4f = 32
We have 2 equations and 2 unknowns, we can solve
4f=32
Divide by 4
4f/4 = 32/4
f = 8
Each bag of flour weights 8 pounds
Substitute this back into the first equation
3(8) +2s = 32
24+2s = 32
Subtract 24 from each side
24-24 +2s =32-24
2s = 8
Divide by 2
2s/2 = 8/2
s = 4 pounds
Flours weighs 8 pounds and sugar weights 4 pounds
We want the ratio of flour to sugar
Flour: sugar
8:4
We can divide each side by 4
8/4: 4/4
2:1
The common ratio is the fifth term divided by the fourth term: -40/-8 = 5.
The seventh term is :
Answer:
121°
Step-by-step explanation:
The angle with measure x is an exterior angle of the triangle.
The angles measuring 90° and 31° are the remote interior angles to the exterior angle.
<em>Theorem:</em>
<em>In a triangle, the measure of an exterior angle equals the sum of the measures of its remote interior angles.</em>
x = 31 + 90
x = 121°
