The answer:
the valid proof is <span>Amanda's.
</span><span>Statement Justification ∠1 + ∠4 = 180°
Definition of Supplementary
Angles ∠3 + ∠4 = 180°
Definition of Supplementary Angles
∠1 + ∠4 = ∠3 + ∠4
Transitive Property of Equality ∠1 ≅ ∠3 </span>
One of the easier approaches would be that of x- and y-intercepts.
Setting x=0 results in y=-10; the y-intercept is (0, -10).
Setting y = 0 results in x = 5, so the x-intercept is (5,0).
Plot these 2 points. Then draw a str. line thru these points.
Answer:
7.855 inches
Step-by-step explanation:
The formula to find the length of an arc is :
Arc Length = 
× 2 π r
Here,
Θ ⇒ size of the angle ⇒ 30°
r ⇒ radius ⇒ 15 inches
<u>Let us solve it now.</u>
Arc length = × 2 π r
Arc length = 
Arc length = 
Arc length = 
Arc length = 7.855 inches
Let me know if you have any other questions. :)
Answer:
the slope is 23
Step-by-step explanation:
Answer:
15 black water bottles
Step-by-step explanation:
let w represent white water bottles, and let b represent black water bottles.
set up a system of equations:
w+b=20
w+2b=35
(the top equation shows that the number of white water bottles he sold and the number of black water bottles he sold equals to 20, since it says that the total number of water bottles is 20. the bottom equation shows that white water bottles cost $1, and black water bottles cost $2, and that the total amount of money he got from selling them is $35).
in the top equation, isolate w:
w+b=20
w=20-b
now we do substitution. in the bottom equation, substitute 20-b for w:
w+2b=35
20-b+2b=35
then, solve:
b+20=35
b=15
this means that he sold 15 black water bottles.
