Answer:
B. Step 2 uses the associative property, and step 3 uses the commutative property.
Step-by-step explanation:
The associative property lets you group terms for addition any way you like. It appears that in Step 2, the grouping is ...
4 + (1/6 + 3) + 5/6
The commutative property lets you change the order of any pair of terms involved in addition. It appears that in Step 3, the order of the terms within the group has been swapped.
4 + (3 + 1/6) + 5/6
_____
<em>Comment on associative and commutative properties</em>
What applies to terms in addition applies to factors in multiplication.
Answer:
n=5, n^2 = 36 now
Step-by-step explanation:
Answer:
$42
Step-by-step explanation:
Equation: y = 6x
x = number of ice cream cones
y = 6(7) = 42
9514 1404 393
Answer:
∠Q = 89°
∠R = 123°
∠S = 91°
Step-by-step explanation:
It seems easiest to start by finding the measures of each of the arcs. The measure of an arc is double the measure of the inscribed angle it subtends.
arc QRS = 2·∠P = 114°
So, ...
arc QR = arc QRS - arc RS = 114° -41° = 73°
The total of the arcs around the circle is 360°, so ...
arc PQ = 360° -arc PS -arc QRS
arc PQ = 360° -137° -114° = 109°
__
∠Q = (1/2)(arc RS + arc PS) = (1/2)(41° +137°)
∠Q = 89°
__
∠R = (1/2)(arc PS +arc PQ) = (1/2)(137° +109°)
∠R = 123°
__
∠S = (1/2)(arc PQ +arc QR) = (1/2)(109° +73°)
∠S = 91°
Answer:
(D)
x + (x + 2) + (x + 4) = 66
