Answer:
180
Step-by-step explanation:
There are 60 minutes in one hour. Multiply 3 x 60 = 180.
X = number of adult tickets
7x = value of the adult tickets
3x = number of child tickets
3x * 3 = value of children's tickets, which is also 9x
Value of adults plus value of children's = 6000
7x + 9x = 6000
Combine terms
16x = 6000
Divide by 16
x = 6000/16
Simplify fraction
x = 3000/8 = 1500/4 = 750/2 = 375 = number of adult tickets
Number of children's tickets = 3 * 375 = 1125 = number of children's tickets
Check:
Adults = 375 * 7 = 2625
Children's = 1125 * 3 = 3375
Total = 6000
Angle D = ABC arc / 2
x + 100 = ABC arc / 2
ABC arc = 2 × ( x + 100 )
ABC arc = 2x + 200 ( ♡ )
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Angle B = ADC arc / 2
3x = ADC arc / 2
ADC arc = 2 × 3x
ADC arc = 6x ( ☆ )
_________________________________
ABC arc + ADC arc = 360
( ♡ ) , ( ☆ ) :
( 2x + 200 ) + ( 6x ) = 360
8x + 200 = 360
8x = 360 - 200
8x = 160
x = 160/8
x = 20
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Thus :
Angle A = 5(20) - 3 = 97 degrees
Angle B = 3(20) = 60 degrees
Angle D = 20 + 100 = 120 degrees
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Sum of the interior angles of any four-sides figures are equal 360 degrees ,
Thus :
Angle A+Angle B+Angle C+Angle D = 360
97 + 60 + Angle C + 120 = 360
Angle C + 120 + 157 = 360
Angle C + 277 = 360
Angle C = 360 - 270 - 7
Angle C = 90 - 7
Angle C = 83 degrees
Answer:
y = -6
Step-by-step explanation:
4y = 2 (y - 5) - 2
Distribute
4y = 2y-10-2
Combine like terms
4y = 2y-12
Subtract 2y from each side
4y-2y =2y-12-2y
2y =-12
Divide by 2
2y/2 = -12/2
y = -6
Given:
The dimensions of a rectangular plot are 50 yards by 41 yards.
To find:
The area of the plot.
Solution:
We know that, the area of a rectangle is
So, the area of the rectangular plot is:
Therefore, the area of the rectangular plot is 2050 square yards.
