In the image shape abcd is similar to shape mnop

10.5 inches.

Step-by-step explanation:

Given : In the image shape ABCD is similar to shape MNOP .

Then , AB corresponds to MN .

BC corresponds to NO.

CD corresponds to OP.                (1)

AD corresponds to MP.                 (2)

In the given figure we have ,

AD = 14 in.   , CD= 16 in. and OP =12 in.

To find : MP

Since shape ABCD is similar to shape MNOP then the corresponding sides should be proportional.

i.e.  [By using (1) and (2)]

Substitute the values.

i.e.

i.e.

Hence, the length of MP= 10.5 in.

Thus the correct answer is 10.5 inches.

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.

the answer is a.

step-by-step explanation:

in three games of golf, alex shot two under par four times.