2(2y-10)+3y=1240
7y-20=1240
7y=1260
y=180
2x+3(180)=1240
2x+540=1240
2x=700
x=350
So they sold 350 food tickets and 180 ride tickets in total.
#TeamAlvaxic
Step-by-step explanation:
Use triangle congruency:
BC=EC, AC=DC - Given
m∠DCE = m∠ACB because they are vertical angles
Therefore ΔABC ≅ ΔDEC because of Side-Angle-Side congruency
AB=DE because corresponding parts of congruent triangles are also congruent (CPCTC)
Answer:
Model A
Step-by-step explanation:
Given the table :
___________M 1 ____ M 2 ____ M 3 ____M 4
Multiple R _ 0.993 ___ 0.991 ___0.936__ 0.746
R Square __0.987___ 0.982 ___0.877 __0.557
Adj R² ____ 0.982___ 0.978 __ 0.849 ___0.513
S E_______ 4,043 __ 4,463 ___11,615 __20,878 Observations_ 12 _____ 12 _____ 12 ____12
Based on the detains of the model given, we could use the R value, R² and standard error values to evaluate the performance of the different models.
The best model will be one with Correlation Coefficient (R value) closet to 1. The model with the highest R value will also have the highest Coefficient of determination, R² value. The a best model is one which has a low a standard error value.
From the table, Model A has the highest R and R² values. It also has the lowest standard error value. Hence, we can conclude that model A provides the best fit.
Answer:
The distance from P to origin is approximately 40.82 units.
Step-by-step explanation:
We are given the following in the data:
The point P(21,35)
We have to find the distance of point P from the origin.
Coordinates of origin: (0,0)
Distance formula:
Putting the values, we get,
The distance from P to origin is approximately 40.82 units.
Answer:
c = 24
Step-by-step explanation:
1/3c - 7 = 1
add 7 to both sides
1/3c = 8
now multiply 3 to both sides
c = 24
