Answer:
1 and 3
Step-by-step explanation:
They are across from each other making them vertical angles.
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
The angle is 60° because
B is a right angle and that adds to 90°, so dividing 90 by 3 would get 30
30 x 2 = 60
and to check the answer
x = 30
A=30
B=90
C=60
this adds to 180 which is correct because the angles in a triangle add to 180° :)
Answer:
width= x-7
Step-by-step explanation:
l= 8x
Area = l*b
b= 8x^2-56x/8x
b= 8x(x-7)/8x
b= x-7