Answer:
Step-by-step explanation:
The inscribed angles are made up of the remote interior angles of this hexagon, of which each of them measures 120 degrees. That means that if this is measure of the inscribed angle, the arc this angle intercepts is twice the degree measure of the inscribed angle. The arcs then will all measure 240 degrees.
Answer:
Step-by-step explanation:
Given
The side of the triangle are
Suppose the third side is
Also, the sum of the two sides of the triangle is always greater than the third
Similarly,
Also,
From (i) and (ii) we get
Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
Let's write down the equations which we will be solving as displayed below:
Equation No. 1 -
4m + n = 6
Equation No. 2 -
3m = 2n - 13 / 2
To begin with, we will make ( n ) the subject in the first equation as displayed below:
Equation No. 1 -
4m + n = 6
n = 6 - 4m
Next, we will substitute the value of ( n ) from the first equation into the second equation and also make ( m ) the subject. Then, we will solve the equation as displayed below:
Equation No. 2 -
3m = 2n - 13 / 2
3m = 2 ( 6 - 4m ) - 13 / 2
3m = 12 - 8m - 13 / 2
3m + 8m = 12 - 13 / 2
11m = 11 / 2
m = ( 11 / 2 ) ÷ 11
m = 1 / 2
Now we will substitute the value of ( m ) from the second equation into the first equation as displayed below:
Equation No. 1 -
n = 6 - 4m
n = 6 - 4 ( 1 / 2 )
n = 6 - 2
n = 4
ANSWER:
Therefore, our answer is:
m = 1 / 2
n = 4
Please mark as brainliest if you found this helpful! :)
Thank you <3
Answer:
- 65 couple tickets
- 50 individual tickets
Step-by-step explanation:
The two equations are for the revenue and the number of attendees.
3p +5c = 475 . . . . . . revenue from ticket sales (dollars)
p +2c = 180 . . . . . . . number of attendees (2 persons per couple)
Substituting (180-2c) for p in the first equation, we get ...
3(180 -2c) +5c = 475
540 -c = 475 . . . . . . . . . simplify
540 -475 = c = 65 . . . . . add c-475
p = 180 -2(65) = 50 . . . . find p from c
65 couple tickets and 50 individual tickets were sold.