Which if the following is true?

the angle SWX is 108 degrees - true.

the angles QRT and TRU are supplementary - true.

Step-by-step explanation:

a turn on a line (from one direction to the other) is always 180 degrees in total. any part turns (angles) cover parts of that 180 total and leave the remainder "open".

we know the "inner" angle RWS is 72 degrees. it's "outer" angle SWX must then be the remainder of 180 degrees on the line TX.

180 - 72 = 108 degrees.

UR and QS are not parallel, as they have a crossing point (R). parallel lines never cross each other.

TX and QS are not perpendicular, as they have an angle of 18 degrees to each other. but perpendicular lines have an angle of 90 degrees with each other.

QRT and TRU are supplementary, as together they build the 90 degree angle QRU without any overlap.

we have the parent function given by,

1. the function is translated 5 units to the left.

so, we get,   becomes

2. the function is translated 5 units to the right.

so, we get,   becomes

3. the function is translated 5 units upwards.

so, we get,   becomes

4. the function is translated 5 units downwards.

so, we get,   becomes

5. the function is reflected across x-axis.

so, we get,   becomes

6. the function is reflected across y-axis.

so, we get,   becomes .

step-by-step explanation:

mark brainliest.

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.