A square tile has a piece broken off it with 7cm².If the area of the remaining rule is 137cm²,what were the dimensions of the original tile?

12 cm × 12 cm.

Step-by-step explanation:

It is given that a square tile has a piece broken off it with 7 cm². The area of the remaining rule is 137 cm².

Total area of square = 7 + 137 = 144 cm²    ...(1)

Area of a square is

    ...(2)

where, a is side length of square.

From (1) and (2), we get

Taking square root on both sides.

Therefore, the dimensions of the original tile are 12 cm × 12 cm.

we need the options

step-by-step explanation:

80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh