Given,
∠AOE = 30°
∠DOB = 40°
So, ∠EOD = 180 - (30+40) [angles on a straight line]
= 180 - 70
= 110
∠EOD = ∠COF [ vertically opposite angle]
∴ ∠COF = 110°
Answer: I would say 135
Step-by-step explanation:
Answer:
1806 seats.
Step-by-step explanation:
From the question given above, the following data were obtained:
Row 1 = 24 seats
Row 2 = 27 seats
Row 3 = 30 seats
Total roll = 28
Total number of seat =?
From the above data, we can liken the roll to be in arithmetic progress.
Also, we are asked to determine the total number of seats in the theater.
Thus the sum of the sequence can be written as:
Roll 1 + Roll 2 + Roll 3 +... + Roll 28 i.e
24 + 27 + 30 +...
Thus, we can obtain obtained the total number of seats in the theater by applying the sum of arithmetic progress formula. This can be obtained as follow:
First term (a) = 24
Common difference (d) = 2nd term – 1st term
Common difference (d) = 27 – 24 = 3
Number of term (n) = 28
Sum of the 28th term (S₂₈) =?
Sₙ = n/2 [2a + (n –1)d]
S₂₈ = 28/2 [2×24 + (28 –1)3]
S₂₈ = 14 [48 + 27×3]
S₂₈ = 14 [48 + 81]
S₂₈ = 14 [129]
S₂₈ = 1806
Thus, the number of seats in the theater is 1806.
Answer:
<h3>
∠ABC≅∠DEF
</h3><h3>
∠BCA≅∠EFD
</h3><h3>
∠CAB≅∠FDE
</h3><h3>
AB≅DE, BC≅EF, CA≅FD</h3>
Step-by-step explanation:
To rotate point A 180° about the origin (point O) we draw a line from that point (A) throu the origin, measure the distance from the point A to the origin, and then measure the same distance on the other side of the origin to get rotated point. Mark it. The angle at the rotated point will be congruent to ∠A
The same goes for points B and C
Angles at pair of given and rotated point are congruent.
Sides of triangle are congruent if they lay between two congruent angles.
