can someone please help me?!

Step-by-step explanation:

Remark

If you find < 3 first, that will give you angle 5 by alternate interior angles. <5 and <7 are equal by vertically opposite angles.

Solution

<3 + <2 = 180o              these two angles are on the same straight line.

<3 + 83 = 180o              Subtract 83 from both sides

<3 = 180 - 83

<3 = 97

As per the remark <3 = <5 by alternate interior angles.

<5 = 97

<7 = 97                          Vertically opposite angles are equal

Note

There are 4 angles that are equal to 83 and 4 angles that are equal to 97

83: angles 2 4 6 and 8

97: angles 1 3 5 and 7

No other values for this diagram are possible and these are always the result.

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

$3720

step-by-step explanation:

taxable income = $31000

as per the 2018-2019 us tax bracket, the tax rate is 12% for an individual whose taxable income is between $9,526 to $38,700.

so, the tax to be paid by him = 12% of 31000

= 0.12 * 31000     [12% converted to decimal as 0.12]

= $3720