I need to know these two answers

Answer:

Axis of Symmetry:

x=2

Vertex:

(2,11)

Step-by-step explanation:

Finding the derivative:

f'(x)=-10x+20

Setting the slope equal to zero:

-10x+20=0      x-2=0    x=2

Finding vertex:

f(2)=-5*(2)^2+20*2-9

=-20+40-9=20-9=11

(2,11)

0.496 to the nearest tenth Is 0.5

All you have to is to take 1 from the number that's come after the one that near to the . and you will get the answer

Hint : Before rounding make sure the number that's come after the comma is bigger or equal to 5  

I hope that's help:)

Answer:

A) ∠1 and ∠8 are alternate exterior angles

B) ∠4 and ∠6 are same side interior angles

E) ∠3 and ∠6 are alternate interior angles

Step-by-step explanation:

Let's check the each options.

A) ∠1 and ∠8 are alternate exterior angles

The exterior angles are ∠1, ∠2, ∠7 and ∠8.

This is correct.

B) ∠4 and ∠6 are same side interior angles.

∠4 and ∠6 are inside the line m and n, they are in the same side, you can see it on the figure.

This is correct

C) ∠5 and ∠7 are vertical angles

∠5 and ∠7 are supplementary angles.

This is not correct.

D) ∠2 and ∠8 are  corresponding angles

These are same side of exterior angles.

This is not correct.

E) ∠3 and ∠6 are alternate interior angles

These are interior angles and alternative to each other.

This is correct.

Answer:

∠1 and ∠8 are alternate exterior angles

∠4 and ∠6 are same side interior angles

∠3 and ∠6 are alternate interior angles

Step-by-step explanation:

Verify each case

case 1) ∠1 and ∠8 are alternate exterior angles

The relationship is correct

case 2) ∠4 and ∠6 are same side interior angles

The relationship is correct

case 3) ∠5 and ∠7 are vertical angles

The relationship is incorrect

Because ∠5 and ∠7 are supplementary angles

case 4) ∠2 and ∠8 are  corresponding angles

The relationship is incorrect

case 5) ∠3 and ∠6 are alternate interior angles

The relationship is correct