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cupoosta [38]
3 years ago
7

1. Given the information below, can we prove AABC = ADEF? If yes, which postulate or

Mathematics
1 answer:
Degger [83]3 years ago
7 0

Answer:

C. Yes, we can prove the triangles congruent by SAS.

Step-by-step explanation:

In ∆ABC and ∆DEF,

BC = EF = 6 cm

angle A = angle D = 22°

AC = DF = 14 cm

Hence, the triangles are congruent.

( by SAS congruency criterion )

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Factor 81z^4 - 16<br> Please answer asap
Oksanka [162]

81x%5E4-16 Start with the given expression.

%289x%5E2%29%5E2-16 Rewrite 81x%5E4 as %289x%5E2%29%5E2.

%289x%5E2%29%5E2-%284%29%5E2 Rewrite 16 as %284%29%5E2.

Notice how we have a difference of squares A%5E2-B%5E2 where in this case A=9x%5E2 and B=4.

So let's use the difference of squares formula A%5E2-B%5E2=%28A%2BB%29%28A-B%29 to factor the expression:

A%5E2-B%5E2=%28A%2BB%29%28A-B%29 Start with the difference of squares formula.

%289x%5E2%29%5E2-%284%29%5E2=%289x%5E2%2B4%29%289x%5E2-4%29 Plug in A=9x%5E2 and B=4.

So this shows us that 81x%5E4-16 factors to %289x%5E2%2B4%29%289x%5E2-4%29.

In other words 81x%5E4-16=%289x%5E2%2B4%29%289x%5E2-4%29.

Now let's factor 9x%5E2-4 further

-------------------------------------

 

9x%5E2-4 Start with the given expression.

%283x%29%5E2-4 Rewrite 9x%5E2 as %283x%29%5E2.

%283x%29%5E2-%282%29%5E2 Rewrite 4 as %282%29%5E2.

Notice how we have a difference of squares A%5E2-B%5E2 where in this case A=3x and B=2.

So let's use the difference of squares formula A%5E2-B%5E2=%28A%2BB%29%28A-B%29 to factor the expression:

A%5E2-B%5E2=%28A%2BB%29%28A-B%29 Start with the difference of squares formula.

%283x%29%5E2-%282%29%5E2=%283x%2B2%29%283x-2%29 Plug in A=3x and B=2.

So this shows us that 9x%5E2-4 factors to %283x%2B2%29%283x-2%29.

In other words 9x%5E2-4=%283x%2B2%29%283x-2%29.

----------------------------------------------------------------

Answer:

So 81x%5E4-16 completely factors to %289x%5E2%2B4%29%283x%2B2%29%283x-2%29

3 0
3 years ago
Describe how the graph of each function differs from the graph of f(x)=|x|. Then determine the domain and range.
Brilliant_brown [7]

A. We can compress the graph of the function f(x)=|x| in the y-direction by multiplying the whole function by a constant C, such that 0 Since 0, the graph of the function g(x)= 0.6|x| is obtained from the graph of the function  f(x)=|x| by compression in the y-direction.

B. We can stretch the graph of the function f(x)=|x| in the y-direction by multiplying the whole function by a constant C, such that C>1. Since 4>1,, the graph of the function g(x)= 4|x-3| is obtained from the graph of the function  f(x)=|x| by compression in the y-direction and translation 3 units to the right.

C. We can flip the graph of the function  f(x)=|x| upside down by multiplying the whole function by −1, then translate 1 unit to the left and 5 units up. Then we will get the function g(x)=-|x+1|+5.

7 0
3 years ago
Cuánto es (-12) - 21 = <br>Explicación del pq da a ese resultado, por favor.​
Gelneren [198K]

Answer:

the answer is -33 srry couldn't explain :(

7 0
3 years ago
Read 2 more answers
A rectangular garden 6 meters wide has a diagonal measuring 10 meters. find the perimeter of the garden.
FromTheMoon [43]
The perimeter would be:
 6+6+10+10
12+20
perimeter= 32
HOPE THIS HELPS YOU! ^_^
7 0
3 years ago
120540000 in word form and expanse from
valina [46]
One hundred twenty million five hundred forty thousand<span />
8 0
3 years ago
Read 2 more answers
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