Answer:
When two triangles have the exact 3 sides and the same 3 angles
Step-by-step explanation:
In geometry, triangles are congruent when the have the exact same 3 sides and the exact same 3 angles. They can be flipped or reflected, they just have to have same sides and angles
Answer:
150 pennies were lost altogether
Step-by-step explanation:
Let the initial number of pennies owned by Dante be x pennies
Let the initial number of pennies owned by Mia be y pennies
Mathematically ;
x + y = 350 •••••••(i)
So after losing half, dante will have x/2 pennies left.
Mia lost 1/3 so she will have 2/3y left
So after all the losses, they both had equal amount of pennies
This means that;
x/2 = 2y/3
Cross multiply;
3x = 4y •••••••(ii)
Let’s solve both equations simultaneously;
From i , x = 350-y
Substitute this into equation ii
3(350-y) = 4y
1050-3y = 4y
7y = 1050
y = 1050/7
y = 150
since x = 350-y
x = 350-150 = 200
Now Dante loss x/2 = 200/2 = 100
Mia lost 1/3y = 1/3 * 150 = 50
Total pennies lost = 100 + 50 = 150
Answer:
x=11
Step-by-step explanation:
The switch case works like an if or if-else, where each of the cases are conditionals. Here we have 7 cases and we know that our variable begins with x=5.
First, it enters to case 5 because of x=5, so x+=3, this means we add 3 to the actual value of the variable ⇒ x=8.
At this point, if there's not break the program continues to the next case, executing the statements until a break or the end on the switch is reached.
In this order, the x = 8 and next we add 1 (case 6) ⇒ x=9. We add 2 (case 7) x+=2 ⇒ x=10. Then we rest 1 (case 8) ⇒ x=9 and then we add 1 again as in case 9 ⇒ x=11.
$403.75
Step 1: 415(.15)
Step 2: 475 - 415(.15)
Step 3: 403.75
<span>C = 2*pi*r
C = 2*pi*7
Exact Circumference: C = 14pi inches
C = 14*3.14
Approximate Circumference: C = 43.96 inches </span>
