Answer:
132°
Step-by-step explanation:
Quadrilateral ABCD is inscribed in a circle,
So, it is a cyclic quadrilateral.
Opposite angles of a cyclic quadrilateral are supplementary.
(3x-12)° = (3*48 - 12)° = (144 - 12)° = 132°
Hello there, my fellow human being!
So, the chicken costs $8 and the duck costs $5, here's why.
Let's say x is the cost of a chicken while y is the cost of a duck.
We can make two linear equations using the information above.
Last month, he sold 50 chickens and 30 ducks for $550: 50x + 30y= 550
This month, he sold 44 chicken and 36 ducks for $532: 44x + 36y = 532
50x/10 + 30y/10 = 440/10
44x/4 + 36y/4 = 532/4
5x + 3y = 44
11x + 9y = 133
So, now that we have our answer simplified, we have to use elimination to solve this system of equations. But, first we need to make sure that at least one of our variables is able to be canceled out.
Let's multiply this equation by -3.
(5x + 3y = 44) * -3.
-15x-9y=-165.
11x + 9y = 133
-15x - 9y = -165
______________
-4x/4 = -32/4
x = 8
11x + 9y = 133
11(8) + 9y = 133
88 + 9y = 133
-88 -88
________________
9y/9 = 45/9
y = 5.
Answer:
Step-by-step explanation:If a triangle and parallelogram are on the same base and have the same altitude, the area of the triangle will be half that of the parallelogram. If they have same altitude, they will lie between the same parallels. Hence the area of the triangle will be equal to half that of the parallelogram.
ANSWER -
-1
EXPLANATION - any expression multiplied by 1 remains the same
