Answer:
The theater has 32 rows
Step-by-step explanation:
The rule of the sum of n terms of an arithmetic sequence is S
= 
(a + l), where
- n is the number of the terms
∵ The number of seats per row follows an arithmetic sequence
∵ The first row has 26 seats
∴ a = 26
∵ The last row has 150 seats
∴ l = 150
∵ The theater seats are 2,816
∴ S = 2,816
→ Substitute these values in the rule of the sum above to find n
∵ 2,816 = (26 + 150)
∴ 2,816 = (176)
∴ 2,816 = 88n
→ Divide both sides by 88
∴ 32 = n
∵ n represents the number of the rows
∴ The theater has 32 rows
Answer:
46°
Step-by-step explanation:
135 because
15x1=15 15x7=105
15x2=30 15x8=120
15x3=45 15x9=135
15x4=60 15x10=150
15x5=75 15x11=165
15x6=90 15x12=190
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Answer:
The answer for the first picture is 84
The answer for the second picture is 36
Step-by-step explanation:
The first triangle is a isosceles triangle which means that two angle lengths must be the same. We use the only angle measurement which is 48 and subtract it from 180 twice because there are two angles lengths that are the same, once we subtract from 180 we have 84. The same process is followed for the second triangle.
180-48-48=84
Second Triangle:
180-72-72=36
