The total number of seats in the theater is 600 seats, if the students filled up 570 seats, which was 95% of the total number of seats in the theater.
Step-by-step explanation:
The given is,
Seats filled by students are 570 seats
Which is 95% of the total number of seats in the theater
Step: 1
Let, x - Total number of seats available in theater
Percentage of seats filled, y= 95%
Seats filled by students = 570
Formula to calculate total number of seats in theater,
95% of seats 
570 = 
x = 
= 600
x = 600 seats
Step: 2
Check for solution,
5% of seats 
= (0.05 × 600)
= 30 seats
Total no. of seats = 5% of seats + 95% of seats
= 30 + 570
600 = 600
Result:
The total number of seats in the theater is 600 seats.
Answer:
x=11
z=16
Step-by-step explanation:
5x+3z=70
3x+4z=64
2x-z=6
z=2x-6
5x+3(2x-6)=70
11x=88
x=11
z=2(11)-6
=16
Answer:
B. 333 in.2
Step-by-step explanation:
The area of the base is 81^2
lateral is 45 x 4 = 180^2 (9x5x4)
180^2 add the 72 pyramid = 252^2 + base of 81^2 = 333^2
Composite figueres i do like this as shown to you a few seconds ago.
The triangle shows us just the height
4 inches
We can see that height is smaller central isosceles height across the center base point.
We also can remember to use the length 9inches but divide by 2 and get each triangle area this way.
4 x 1/2 base = 4x 1/2 4.5 = 4 x 2.25 = 9^2 each right side triangle
9 x 8 = 72^2
we add the areas 72+ 81+lateral 180 = 333 inches^2
Answer:
Option (A)
Step-by-step explanation:
Given:
LM ≅ OP
MN ≅ PQ
∠M ≅ ∠P
To Prove:
ΔLMN ≅ ΔOQP
Statements Reasons
1). LM ≅ OP 1). Given
2). MN ≅ PQ 2). Given
3). ∠P ≅ ∠M 3). Given
4). ΔLNM ≅ ΔOQP 4). By the SAS postulate of congruence.
[Side - Angle - Side]
Therefore, Option (A) will be the answer.
Answer:
let the number be x
4x-6=3x+8
Step-by-step explanation:
hope this helps you
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