Find the difference per row:
10 seats in the first row
30 seats in the sixth row:
30 -10 = 20 seats difference.
6-1 = 5 rows difference.
20 seats / 5 rows = 4 seats per row.
This means for every additional row, there are 4 more seats per row.
The equation would be:
Sn = S +(n-1)*d
Where d is the difference = 4
S = number of seats from starting row = 10
n = the number of rows wanted
S(11) = 10 + (11-1)*4
S(11) = 10 + 10*4
S(11) = 10 + 40
S(11) = 50
Check:
Row 6 = 30 seats
Row 7 = 30 + 4 = 34 seats
Row 8 = 34 + 4 = 38 seats
Row 9 = 38 + 4 = 42 seats
Row 10 = 42 + 4 = 46 seats
Row 11 = 46 + 4 = 50 seats.
Answer:
x = -14
Step-by-step explanation:
x/4 = -3.5
Multiply both sides by 4:
x/4*4 = -3.5 * 4
x = -14
Answer: SR ≅ UT
Step-by-step explanation:
Process of elimination:
1) RT ≅ TR doesn't help because RT and TR are the same line.
2) RU ⊥ TU doesn't help prove that ΔRST ≅ ΔTUR. It only proves that ∠TUR is a right angle (which is already given).
3) SR ⊥ ST also doesn't help prove that ΔRST ≅ ΔTUR. It only proves that ∠RST is a right angle (which is already given).
4) The statement that SR ≅ UT tells us that ΔRST and ΔTUR are right triangles and have a hypotenuse and leg in common (both triangles share a hypotenuse, RT, both triangles have a 90 degree angle, and SR ≅ UT). If SR ≅ UT, we can prove ΔRST ≅ ΔTUR by using the HL triangle congruence theorem.
