Answer:
The burgers cost $2.50 and the cookies cost $1.25.
Step-by-step explanation:
Let b represent burgers and c represent cookies.
2b + 2c = 7.50
4b + 3c = 13.75
<u><em>Step 1:</em></u> Use one of the two equations and isolate one of the variables.
2b + 2c = 7.50
- 2c -2c
b = - c
b = 3.75 - c
<u><em>Step 2:</em></u> Plug what you get for b into the second equation.
4(3.75 - c) + 3c = 13.75
15 - 4c + 3c = 13.75
15 - 1c = 13.75
<u><em>Step 3:</em></u> Isolate the variable and solve for c.
15 - 1c = 13.75
-15 -15
c =
c = 1.25 ← <em>price for cookies</em>
<u><em>Step 4:</em></u> Plug in what you have for c into one of the previous equations and solve for b.
2b + 2(1.25) = 7.50
2b + 2.50 = 7.50
- 2.50 -2.50
b =
b = 2.50 ← <em>price for burgers </em>
Now you know the cost of each item:
The burgers cost $2.50 and the cookies cost $1.25.
Answer:
22
Step-by-step explanation:
PEMDAS
25-9÷3
25-3
22
120° because 155-35=120 since IJZ is inside the IJK so you would have to subtract the ZJK from the IJZ.
1) Since these triangles are congruent, then we can write out the following for congruent triangles have congruent sides:
2) Still based on that principle, we can plug v=2 into any of those formulas to get the measure of QS and TV. So let's pick the simpler one:
As we can see these segments are congruent.
Answer:
∠BIJ ≅ ∠CGJ and ∠BJI ≅ ∠CJG
Step-by-step explanation:
We have that the initial triangles are equal. Let us check which components remain within the final triangles as the same. The only such components are the angles B and C. We now know that we have to apply a triangle equality criterion.
The triangles BGH and CIH are equal since the have 2 common sides and the respective interior angles are equal. Then we have that BI=GC and also that the respective angles B and C are equal. THen also HIJ=HGJ since they fill to 180 degrees with angles that are equal.
Hence by angle-side-angle the triangles BJI and CJG are equal.
∠BIJ ≅ ∠CGJ and ∠BJI ≅ ∠CJG