Answer:
Step-by-step explanation:
In the associative property of multiplication, the product of the multiplication of 3 or more numbers is the same irrespective of how they are grouped. This means that irrespective of the bracket or which number comes first, the product will always be the same.
From the given scenarios, the pair of expressions that are equivalent using the Associative Property of Multiplication are
B 6(4a ⋅ 2) = (4a ⋅ 2) ⋅ 6
C 6(4a ⋅ 2) = 6 ⋅ 4a ⋅ 2
D6(4a ⋅ 2) = (6 ⋅ 4a) ⋅ 2
The results are the same irrespective of the arrangement of the numbers.
Answer:
(A) 12
Step-by-step explanation:
First, lets define the number as x.
"8 times the difference between a number and 6 is equal to 4 times the number" is translated into "8(x - 6) = 4x"
8(x - 6) = 4x
8x - 48 = 4x
4x = 48
x = 12
You know vertical Angles SRU and TRV are congruent.
You are given that Sides UR and VR are congruent.
You are given that Angles SUT and SVT are congruent.
An appropriate choice is the ASA postulate, since you have congruent angles with congruent sides in between.
