8a+4s=840
a=s+30
8(s+30)+4s=840
12s+240=840
12s=600
s=50
A=s+30
a=50+30
a=80
The drama play sold 80 adult tickets
Answer:
x = -2
Step-by-step explanation:
x+8 = 2x +10
-2x + x = 10-8
-x = 2
divide both side by -1
answer -- x = -2
<h2>
Answer and Explanation to questions 13,14,15</h2>
13)
as given in the question.
14)
Since Y is the midpoint of XZ. So, Y will divide XZ in equal halves into XY and YZ.
15) 
and
. So, 
<h2>
Answer and Explanation to questions 16,17,18</h2>
∠3 is supplementary to ∠1 means: ∠3 + ∠1 = 180°
And, according to figure ∠1 + ∠2 = 180° as ∠1 and ∠2 form a straight line.
∠3 + ∠1 = 180° .............(i)
∠1 + ∠2 = 180° .............(ii)
subtracting equation (i) and (ii) will give ∠3 = ∠2 ..........(iii)
15) ∠3 is supplementary to ∠1 as given in the question
16) ∠2 is supplementary to ∠1 as shown be equation (ii)
18) ∠3 ≅ ∠2 as shown by equation (iii)
<h2>
Answer and Explanation to questions 19</h2>
∠3 and ∠4 form a straight line. Therefore, ∠3 + ∠4 = 180° .......(i)
∠4 and ∠5 form a straight line. Therefore, ∠4 + ∠5 = 180° .......(ii)
subtracting equation (i) and (ii)
∠3 + ∠4 - (∠4 + ∠5) = 180°-(180°)
∠3 + ∠4 - ∠4 - ∠5 = 180°-180°
∠3 - ∠5 = 0
∴ ∠3 = ∠5 (Hence Proved)
The 6 because it is Two digits far from the dot
First we need to figure out the circumference of the gardening area. The circumference fell is the length around the circle. We can use the circumference formula:
2*pi*r or pi*d
Where r = radius and d=diameter
If you plug in the diameter of 18 ft you get:
18 * pi
= 56.55 ft
Since he can only buy whole foot amounts, we will round up to 57 ft, not down, because he can have a little extra, but can't be under the amount he needs.
Now if it cost $1.50 for every foot, we just multiply that by our footing
1.5 * 57 = $85.50