I believe the answer is A.
hope I helped
Answer: While I don’t have the picture to actually know the answer I will explain how to get it.
Step-by-step explanation:
1. If the shapes are on a grid count the amount of grid squares that are located between each end point of the shape. If it’s not on a grid use a ruler to measure the side lengths. You will need to find out the side amounts for both shapes L and S.
2. From there if the L shape is SMALLER than the S shape, then take the S shape’s sides and divide it by the L shape’s sides, and whatever number you get from each of your division problems will be your scale factor. BUT If the L shape is BIGGER than the S shape then easiest way to find out your scale factor is to take the last scale factor you got and convert it into a fraction. For example, if you got 3 then it would be 1/3. Hope this helped!
Answer:

Step-by-step explanation:
The perimeter of a polygon is equal to the sum of all the sides of the polygon. Quadrilateral PTOS consists of sides TP, SP, TO, and SO.
Since TO and SO are both radii of the circle, they must be equal. Thus, since TO is given as 10 cm, SO will also be 10 cm.
To find TP and SP, we can use the Pythagorean Theorem. Since they are tangents, they intersect the circle at a
, creating right triangles
and
.
The Pythagorean Theorem states that the following is true for any right triangle:
, where
is the hypotenuse, or the longest side, of the triangle
Thus, we have:

Since both TP and SP are tangents of the circle and extend to the same point P, they will be equal.
What we know:
Thus, the perimeter of the quadrilateral PTOS is equal to 
Answer:
Option C.
Step-by-step explanation:
It is given that the dilation rule is
. It means the center of dilatation is point Q and scale factor is 2.5.
Scale factor is the ratio of distance from center to the image of a point and distance from center to the corresponding point.

It is given that QU=4 and scale factor = 2.5.

Multiply both sides by 4.


We know that



The distance between U' and U is 6 units.
Therefore, the correct option is C.
Answer: x³+2x²-22x+12
Step-by-step explanation:
the product of functions: (hg)(x)
Use FOIL to solve this (First Outer Inner Later)
(x+6)(x²-4x+2)
=x³-4x²+2x+6x²-24x+12
=x³-4x²+6x²+2x-24x+12
=x³+2x²-22x+12