Step-by-step explanation:
In figure:
∠PRT+∠RTP+∠TPR=180
O
(angle sum property of triangle)
⇒x+(180
O
−∠RTQ)+60
O
=180
O
(linear pair)
⇒x+(180
O
−97
0
)+60
o
=180
O
⇒x=31
o
Now, ∠PRT+∠TRQ+∠QRS=180
O
(angle of straight line)
⇒x+48
o
+y=180
O
⇒31
o
+48
o
+y=180
O
⇒y=101
0
Which of the following lists has a mode of 213? / 111, 108, 213, 198, 205/ /212, 215, 213, 211, 220/ /213, 278, 108, 213, 157/ /
Fed [463]
The mode is the most frequent one
The answer is 213, 278 , 108, 213, 157
Let
x-------> the length side of the original cube
we have

Divide by
both sides

The system of equations is equal to
--------> equation 
--------> equation 
using a graphing tool
see the attached figure
we know that
the solution of the system of equations is the intersection both graphs
therefore
the solution is

therefore
<u>the answer is</u>

Answer:
She can fill 9 boxes, and will have 4 cookies left over.
Step-by-step explanation:
9 x 12 = 108.
112 - 108 = 4