X songs
Y games
A) 8X + 3Y = 20.50
B) 4X + 5Y = 22.50
Multiplying equation B) by -2
B) -8X -10Y = -45.00 then adding this to
A) 8X + 3Y = 20.50 we get
-7Y = -24.50
Y = 3.50
I think you can calculate X right?
corresponding angles, therefore
m∠1 = m∠2 → m∠2 = 130°
vertical angles, therefore
m∠2 = m∠3 → m∠3 = 130°
If ∠1 and ∠2 are complementary, then m∠1 + m∠2 = 90°.
If ∠2 and ∠3 are complementary, then m∠2 + m∠3 = 90°
Therfore

X + y = 20 --> eqn 1
The second equation would be the mass balance shown below:
(x)(0.40) + y(0.70) = 20(0.52) --> eqn 2
Rearranging eqn 1,x = 20 - ySubstitute this to eqn 2:
(20 - y)(0.40) + y(0.70) = 20(0.52)Solve for y,y = 8 grams Finally, solve for x.x = 20 - 8 = 12 grams
Therefore, Serena needs 12 grams of the 40% solution and 8 grams of the 70% solution.
Answer:
Option B.
Step-by-step explanation:
Consider the below figure attached with this question.
It is given that triangle ABC is an isosceles triangle.
From the below figure it is clear that the vertices of triangle are A(-2,-4), B(2,-1) and C(3,-4).
Distance formula:

Using this formula, we get



Now,
Perimeter of triangle ABC = AB + BC + AC


So, perimeter of triangle ABC is
units.
Therefore, the correct option is B.