Answer:
B. -4x+5y=40
Step-by-step explanation:
y * 5= (4/5 x + 8) * 5
5y = 4x + 40
-4x + 5y =40
Since they're vertical angles, they're equal in degree measure
since they're equal, we can make the two expressions equal to each other
5a - 1 = 2a + 20
add 1 to both sides
5a = 2a + 21
subtract 2a from both sides
3a = 21
divide both sides by 3a
a = 7
now, plug the answer you found for a into one of the two expressions
5a - 1 becomes (5*7) - 1, which equals 34
to double check that they're equivalent (since they're vertical angles)
2a + 20 becomes (2*7) + 20, which equals 34
both angles are 34 degrees!
Let the figure number be x.
Then the equation will be:
3x
There will be 3x circles in the figure number x.
So, number of circles in 50th figure will be
= 3(50)
= 3 × 50
= 150 circles
<span>y= 2x-4
y= -x+5
so
</span><span>2x-4 = -x+5
2x +x = 5 +4
3x = 9
x =3
y = 2x-4
y =2(3) - 4
y = 6-4
y = 2
answer: (3,2)</span>
