Answer:
The slope is -.3125 and the y intercept is 25
The x intercept is 80
Step-by-step explanation:
2.5x+8y=200
We want to get this in slope intercept form so we will solve for y
Subtract 2.5x from each side
2.5x-2.5x+8y=-2.5x +200
8y = -2.5x +200
Now divide by 8 on both sides
8y/8 = -2.5x/8 + 200/8
y = -.3125x +25
This is in the form y = mx+b where m is the slope and b is the y intercept
The slope is -.3125 and the y intercept is 25
To find the x intercept, set y = 0 and solve for x
2.5x+8y=200
2.5x = 200
Divide by 2.5 on each side
2.5x/2.5 = 200/2.5
x =80
Step-by-step explanation:
Given : m∥n , ∠1= 50° , ∠2= 48° , and line s bisects ∠ABC
To prove = ∠3= 49°
Solution:
In figure, m∥n cut by traversal t.
So, ∠DEF = ∠ABC(alternative exterior angles)
∠1 + ∠2 = ∠4 + ∠5
∠ABC = ∠1 + ∠2 = 50° + 48° = 98°
Also given that s bisect angles ∠ABC.
∠4 = ∠5
∠ABC = ∠4 + ∠5 = 98°
∠4 + ∠4 = 98°
2∠4 = 98°
∠4 = 49°
∠4= ∠3 = 49° (vertically opposite angles)
∠3 = 49° ,hence proved
For this case what you should see is each of the edges of the prism that are parallel.
We then have as parallel edges:
AC and GE
CG and AE
CD and GH
AB and EF
BD and HF
DH and BF
CD and EF
GH and AB
Answer:
8 pairs of parallel lines
He would need seven because 9x6=54 but there would be three left you he needs 7 hope that helps
Lucia can make 8 invisibility potions total!
she has 16 newt eyes overall and only two are required for one option
sooo
she can make 8 potions.
hope this helps!
