Answer:
63
Step-by-step explanation:
40+77=117
180-117=63
Answer:
x = 81/4
Step-by-step explanation:
multiply both sides by 4
4x + 15 = 96
subtract 15 from both sides
4x = 81
divide both sides by 4
x= 81/4
i hope that's right
3(2t+5)=5t+25
Multiply the bracket with 3
(3)(2t)(3)(5)=5t+25
6t+15=5t+25
Move 5t to the other side. Sign changes from +5t to -5t
6t-5t+15=5t-5t+25
6t-5t+15=25
Move +15 to the other side. Sign changes from +15 to -15
6t-5t+15-15=25-15
6t-5t=10
1t=10
divide by 1
1/1t=10/t
t=10
Answer: t=10
<u>the correct question is</u>
The denarius was a unit of currency in ancient rome. Suppose it costs the roman government 10 denarii per day to support 4 legionaries and 4 archers. It only costs 5 denarii per day to support 2 legionaries and 2 archers. Use a system of linear equations in two variables. Can we solve for a unique cost for each soldier?
Let
x-------> the cost to support a legionary per day
y-------> the cost to support an archer per day
we know that
4x+4y=10 ---------> equation 1
2x+2y=5 ---------> equation 2
If you multiply equation 1 by 2
2*(2x+2y)=2*5-----------> 4x+4y=10
so
equation 1 and equation 2 are the same
The system has infinite solutions-------> Is a consistent dependent system
therefore
<u>the answer is</u>
We cannot solve for a unique cost for each soldier, because there are infinite solutions.
Answer:
Triangles ABE and CDE are congruent by AAS.
Step-by-step explanation:
AB ≅ DC (Opposite sides of a parallelogram are congruent.
m < AEB = m < DEC (Vertical angles).
m < ABE = m < EDC ( Alternate Interior angles).
So triangles ABE and CDE are congruent by AAS.
