Answer:
x=88 (alternative angles)
y=31 each
v=41 (alternative angles)
w=20 (alternative angles)
Step-by-step explanation:
for y:
we add all the angles got therefore,
20+41+88+y+20+41+88+y=360(because total angle in a quadilateral is 360°)
298+2y=360
2y=360-298
2y=62
therefore y=62/2=31° for each y
If you need an equation it is -3.4x=21.5
You simply divide both sides by -3.4 to get x=-6.32
if that's not right then just get on a calculator and calculate by doing what I said to divide
Multiply both sides of the second equation by 100 to get rid of the decimals:
0.05<em>n</em> + 0.10<em>d</em> = 1.50
==> 5<em>n</em> + 10<em>d</em> = 150
Multiply both sides of the first equation by -5:
<em>n</em> + <em>d</em> = 21
==> -5<em>n</em> - 5<em>d</em> = -105
Add the two equations together:
(5<em>n</em> + 10<em>d</em>) + (-5<em>n</em> - 5<em>d</em>) = 150 + (-105)
Notice that the terms containing <em>n</em> get eliminated and we can solve for <em>d</em> :
(5<em>n</em> - 5<em>n</em>) + (10<em>d</em> - 5<em>d</em>) = 150 - 105
5<em>d</em> = 45
<em>d</em> = 45/5 = 9
Plug this into either original equation to solve for <em>n</em>. Doing this with the first equation is easiest:
<em>n</em> + 9 = 21
<em>n</em> = 21 - 9 = 12
So Donna used 12 nickels and 9 dimes.
450 miles
1 in. Per 60 miles
460/60 = 7.5 inches
