The opposite angles of an inscribe quadrilateral are supplementary.
angle P + angle R = 180
6x + 7 + 12x + 11 = 180
18x + 18 = 180
18x = 162
x = 9
Now we will substitute in the value of x to find angle P and R.
angle P = 6(9)+7 = 61
angle R = 12(9)+11 = 119
Now we will find the value of y.
angle Q + angle S = 180
10y + 7 + 3(3y + 7) = 180
10y + 7 + 9y + 21 = 180
19y + 28 = 180
19y = 152
y = 8
Now substitute in the value of y to find angle Q and S.
angle Q = 10(8)+7 = 87
angle S = 3(3*8+7) = 93
Hope this helps :)
Circumference of the circle is given as = 220 feet
We have to find the diameter.
Circumference is found as = 2 * PI * r


r=35.03
Diameter is 2*radius
Diameter =
= 70.06
Hence, diameter of the circle is 70.06 feet.
Answer:
16
Step-by-step explanation:
Substitute s = - 3 into the expression
7 - 3(- 3) = 7 + 9 = 16
Answer:
A. 
B.
cupcakes
Step-by-step explanation:
Part A:
The simplified form of the expression is




Part B:
Put
in the above simplified equation to get the number of cupcakes Mrs. Jones bake last week



cupcakes