In ASA , we must have two angles and side between them congruent
here angle D is equal to angle T
side DN=TN
the other angle must be angle M = angle N
So option B is correct
Answer:
Let x represents the week and y represents the seashells
As per the statement:
Dora has 10 seashells and plans to add 2 shells every week.
"2 shells every week" means 2x
⇒y = 10 + 2x
It is also given, Jerri has 4 seashells and plans to add 5 shells every week.
"5 shells every week" means 2x
⇒ y = 4 + 5x
The system of equation would be used:
y = 10 + 2x
y = 4 + 5x
Since, the girls have the same number of seashells
⇒
Subtract 4 from both sides we get;

Subtract 2x from both sides we get;

Divide by 3 both sides we have;
x = 2 weeks.
Therefore, the number of weeks would it be before the girls have the same number if seashells is, 2 weeks.
Answer:
Sample Response: Since the statement is true, there are an infinite number of solutions to the system. This statement also indicates that the lines are equivalent.
Answer:
The equation is 3x + 24 = 6x
Step-by-step explanation:
Let
Zach's age = x
If Zach added 8 to his age and multiplied this sum by 3.
Zach = 3(x + 8)
= 3x + 24
James = 6x
Zach's age = James's age
3x + 24 = 6x
Collect like terms
24 = 6x - 3x
24 = 3x
Divide both sides by 3
x = 24/3
= 8
x = 8
Check
Zach = 3(x + 8)
= 3(8+8)
= 3(16)
= 48 years
James = 6x
= 6(8)
= 48 years
The equation is 3x + 24 = 6x