Answer:
x= -10
Step-by-step explanation:
So because the angle 55 is part of the same line as one of the unknown angles you can do 180-55 to find that first angle at the top, which is 125.
Next add all three angles (125 + x + 35 + x + 40)=180
Combine the x values to get 2x and subtract the three values from 180
Then 2x= -20, x should be equal to -10
You can plug x back into the values and check your work by adding all the values again, making it all equal to 180 degrees again
Hi,
Equation:

Multiplying two negatives equals a positive.

Now equation looks like:

Hope this helps.
r3t40
The Bigger weight minus the lower weight
Answer:
37 dimes and 10 nickels
Step-by-step explanation:
let d = # dimes
let n = # nickels
we can set up a system of equations:
n + d = 47
.05n + .10d = 4.2
if we solve the first equation for 'n' we get:
n = 47-d
now we can substitute this in for 'n' in the second equation:
.05(47-d) + .10d = 4.2
2.35 - .05d + .10d = 4.2
2.35 + .05d = 4.2
subtract 2.35 from each side to get:
.05d = 1.85
d = 1.85÷.05
d = 37
if d+n = 47 and d=37 then n = 10
Check:
.05(10) + .1(37) should equal 4.2
.50 + 3.7 = 4.2 [It Checks Out]