Answer:
∠2 = 41°
Step-by-step explanation:
This is because, all three interior angles in a triangle will have a sum of 180 degrees.
So given that we have two angles, 90 degrees(right angle) and 49 degrees, we can replace angle 2 as our unknown value(a variable) and make it equal to 180 degrees then solve for x;
49 + 90 + x = 180
139 + x = 180
-139 -139
x = 41°, ∠2 = 41°
Let's call trade balance b, exports e and imports i.
We now construct formula.

Put in the data from last year.

U.S trade balance for that year is -690 billion dollars.
Answer:
Step-by-step explanation:
What this question is asking of you is what is the greatest common divisor of 12 and 15. Or, what is the biggest number that divides both 12 and 15.
in order to find this we have to split each number into it's prime components.
for 12 they are 2,2 and 3 (
2
⋅
2
⋅
3
=
12
)
and for 15 they are 3 and 5 (
3
⋅
5
=
15
)
Out of those two groups (2,2,3) and (3,5) the only thing in common is 3, so 3 is the greatest common divisor. That tells us that the greatest number of groups that can exist and have the same number of girls and the same number of boys for each group is 3.
Now to find out how many girls and boys there are going to be in each group we divide the totals by 3, so:
12
3
=
4
girls per group, and
15
3
=
5
boys per group.
(just as a thought exercise, if there were 16 boys, the divisors would have been (2,2,3) and (2,2,2,2), leaving us with 4 groups [
2
⋅
2
] of 3 girls [12/4] and 4 boys [16/4] )
Answer:
25.2 gallons per week
Step-by-step explanation:
Answer: Percentage change in quantity would decrease by 12.5%.
Step-by-step explanation:
Since we have given that
Price elasticity of demand = -0.8
Price of each unit = $100
After change, price of each unit becomes = $110
% change in quantity would be

As we know the relation between price, quantity and elasticity.

Hence, Percentage change in quantity would decrease by 12.5%.