PLEASE PLEASE HELP I REALLY NEED IT!! I KEEP GETTING WRONG ANSWERS You can transform ⨀T to ⨀T' by translating it and then performing a dilation centered at T'. Find the translation rule and the scale factor of the dilation.

Simplify the scale factor and write it as a proper fraction, improper fraction, or whole number.

Translation: (x, y)↦ (___ ) , (_)
,
Scale factor:

(x,y)↦ ( x + 1 ) , ( y + 9 )

scale factor 2  

Step-by-step explanation:

Step 1 identify the translation.

To do this we find the center of ⨀T and the center of ⨀T' and find the difference between their x and y values.

The center of ⨀T is at ( -1 , -7 )

The center of ⨀T' is at ( 0 , 2 )

we now find the difference between the x and y values. ( note that you must subtract the x and y values from the preimage from the translated image to get the correct translation. )

For the x values: 0 - ( - 1 ) = + 1

For the y values:  2 - ( -7 ) = + 9

So translation was (x,y)↦ ( x + 1 ) , ( y + 9 )

step 2 Find the scale factor

We can identify the scale factor by dividing the radius of the preimage by the radius of the dilated image.

The radius can be identified by finding the distance between the center and any point on the circle

The radius of the preimage is 3

The radius of the dilated image is 6

So scale factor = 6 / 3 or 2

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).

$20.01

step-by-step explanation:

the sale price is (1.00 - 0.77)($87), or 0.23($87), or $20.01.