What is the value of the triangle?

It is a right triangle, so we can use the Pythagorean theorem to solve:

12^2 + x^2 = 13^2

Simplify:

144 + x^2 = 169

Subtract 144 from both sides:

x^2 = 25

Take the square root of both sides:

X = 5

lockers 1, 4, 9, 16, 25, 40, and 49 are open

i ran through it by the other answer is wrong

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .