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NARA [144]
3 years ago
11

Madison and Tyler each wrote an expression that is equivalent to 14.1 (19.8 + 7.6). The expressions they created are shown in th

e table.
Expressions Madison and Tyler Created
Student
Expression
Madison
14.1 (7.6 + 19.8)
Tyler
14.1 (19.8) + 14.1 (7.6)
Mathematics
2 answers:
diamong [38]3 years ago
6 0

Answer: Tyler used the distributive property.

Step-by-step explanation:

For the expression:  

Madison wrote:  which is by commutative property of addition.

The commutative property of addition says that , for a,b be any real number

Tyler wrote: which is by distributive propery.

The distributive property says that , for a,b,c be any real numbers.

Hence, the last option is correct.

AlladinOne [14]3 years ago
4 0

Answer:

D

Step-by-step explanation:

Took the test ;)

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3 years ago
1. Identify a pair of alternate exterior angles.
KonstantinChe [14]

Answer:

d. ∠2 and ∠6

Step-by-step explanation:

Definition : Alternate Exterior Angles are a pair of angles on the outer side of each of those two parallel lines but on opposite sides of the transversal.

Option a. ∠3 and∠4

These angles are interior angles.

Option b . ∠1 and∠2

These angles are linear pair.

Option c . ∠1 and ∠6

These angles are outer angles

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Hence Option d is pair of alternate exterior angles.

4 0
3 years ago
6 years ago jack was three times older then wade. In four years wade will be half as old as jack. How old are they now?
mixer [17]

Answer:

Jack's age is 36

Wade's age is 16

Step-by-step explanation:

Let jack's age be "j"

and

Wade's age be "w"

First, we have:

6 yrs AGO, Jack was 3 times as Wade, so we can write:

j-6 = 3(w-6)

Then, we have:

4 yrs from NOW, Wade will be HALF as Jack, so we can write:

w+4 = 0.5(j+4)

Lets simplify the first equation:

j-6 = 3(w-6)

j - 6 = 3w - 18

Solving for j:

j = 3w - 18 + 6

j = 3w - 12

Now, simplifying the second equation:

w+4 = 0.5(j+4)

w+4 = 0.5j+2

w = 0.5j - 2

Now we replace this equation with j's expression we found from first equation:

w = 0.5j - 2

w = 0.5(3w - 12) - 2

w = 1.5w - 6 - 2

0.5w = 8

w = 16

Now, finding j:

j = 3w - 12

j = 3(16) - 12

j = 36

So,

Jack's age is 36

Wade's age is 16

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Answer:

The answer is B and C

Step-by-step explanation:

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