Answer:
x = 16 and y = 121
Yes, its a long process.
Step-by-step explanation:
vertical angles are congruent given that: we do this
(4x-5)+(4x-5)+y+y=360
or
2(4x-5)+2y=360
divide both sides by 2
(4x-5)+y=180
distribute (there is an invisible 1 beside the parentheses of 4x-5)
4x-5+y=180
add 5 to both sides
4x+y = 185
subtract y from both sides
4x = 185-y
divide both sides by 4
x = (185-y)/4
note that (4x-5) is also EQUAL to (3x+11)
4x-5=3x+11
subtract 3x from both sides
x-5=11
add 5 to both sides
x = 16
Now that we know what x is, we can substitute it in the equation we got from 2(4x-5)+2y=360
Our equation was
x = (185-y)/4
16 = (185-y)/4
Multiply both sides by 4
64 = 185-y
Subtract 185 from both sides
-121=-y
multiply both sides by -1
121 = y
Answer:
b and a
Step-by-step explanation:
1euro = 1.3687 USD
So 150 Euros = 150*1.3687 USD
=<span>205.305 USD
So he spent $205.305 USD on his trip.
He started off with $250 so to find the amount left we just take
250 - 205.305
= $44.695
Or 44 dollars and 69.5 cents. It's a weirdly exact amount, sure, but the question had a very precise exchange rate, so we'll assume this is fine. </span>
2x -20 -1 =0
2x -21=0
2x=21
x= 10.5
