Answer:
Step-by-step explanation:
Let's write a system of equations. I'm going to call them w, x, y, and z.
w = 4x (because m∠1 is 4 times m∠2)
w + x = 90 (bc ∠1 and ∠2 are complementary, meaning they add up to 90)
w = y (bc ∠1 and ∠3 are vertical angles, meaning they are equal)
y + z = 180 (bc ∠3 and ∠4 are supplementary, meaning they add up to 180)
When we substitute w=4x into the second equation, we get 5x=90 → m∠2 = 18°. Since w=4x, m∠1 = 18*4 = 72°. Since w=y, m∠3 = 18°. Finally, because y+z=180, m∠4 = 180-18 = 162°. Hope this helps!
You would do an arithmetic sequence
use A1 +(n-1)d to calculate number of seats in the last row
An = 4+(24-1)5
An = 4 + (23)(5)
An = 4 + 115
An = 119 seats in the last row
now use a sum sequence to find total number of seats
Sn = n(a1 + an)/2
Sn = 24(4+119)/2
Sn = 24(123) /2
Sn = 1476 total seats
I think it’s subtract 2x from both sides
Answer:
w=6x+1.25
Step-by-step explanation:
