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3 years ago

Please Help Cuz For A Hunid points

Mathematics

2 answers:

dangina [55]3 years ago

8 0

She got a potato I'm peelin it

baherus [9]3 years ago

3 0

Answer:

1. Vertical angles. X = 128º

2. The two angles labeled make up a linear pair & are supplementary, meaning they add up to 180º.

So:

7x + (x+20) = 180

Solve for x:

7x + (x + [20-20]) = 180 - 20

7x + (1)x = 160

8x = 160

X = 20

3. The two angles are complementary, meaning they add up to 90º.

So:

X + 35 = 90

Solve for x:

X + (35-35) = 90 - 35

X = 55

4. the two angles are complementary, and add up to 90º.

So:

4x + 2x = 90

Solve for x:

6x = 90

6x/6 = 90/6

X = 15.

5. Vertical angles, so they are equal in measure.

So:

75 = 4x - 25

Solve for x:

75 + 25 = 4x (-25 + 25)

100 = 4x

100/4 = 4x/4

X = 25.

6. The 3 angles all add up to 180º. they are supplementary.

So:

75 + x + (3x + 5) = 180

Solve for x:

(75 - 75) + x + (3x + 5) = 180 - 75

X + (3x + 5) = 105

X + 3x + (5-5) = 105 - 5

(1) x + 3x = 100

4x = 100

4x/4 = 100

X = 25

7. The 2 angles shown in the picture add up to 180º & are supplementary.

So:

x + (2x - 21) = 180

Solve for x:

X + (2x [-21 + 21]) = 180 - 21

(1)x + 2x = 159

3x = 159

3x/3 = 159/3

X = 53.

Sorry for the late response.

hope this helps & have a great rest of your day!

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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

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