Given that triangle, LMN has side lengths of 18.5 inches, 10 inches, and 15.5 inches, prove triangle LMN is a right triangle. Explain by applying the Converse of the Pythagorean Theorem. Drag numbers to order the proof.
1 2 3 4 5
340 ≠ 342.25 =?

102 + 15.52 =? 18.52 =?

a2 + b2 =? 18.52 =?

100 + 240.25 =? 342.5 =?

Therefore, triangle LMN is not a right triangle. =?

Type the correct answer in the box. function f, shown below, is translated down 3 units and left 4 units to create function g. f(x)= 3|x-2|-5 fill in the values of a, h, and k to write function g

What is the nth term rule of the linear sequence below? 27 , 25 , 23 , 21 , 19 , . .

Cone w has a radius of 8 cm and a height of 5 cm. square pyramid x has the same base area and height as cone w. paul and manuel disagree on how the volumes of cone w and square pyramid x are related. examine their arguments. which statement explains whose argument is correct and why? paul manuel the volume of square pyramid x is equal to the volume of cone w. this can be proven by finding the base area and volume of cone w, along with the volume of square pyramid x. the base area of cone w is π(r2) = π(82) = 200.96 cm2. the volume of cone w is one third(area of base)(h) = one third third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is one third(area of base)(h) = one third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is three times the volume of cone w. this can be proven by finding the base area and volume of cone w, along with the volume of square pyramid x. the base area of cone w is π(r2) = π(82) = 200.96 cm2. the volume of cone w is one third(area of base)(h) = one third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is (area of base)(h) = (200.96)(5) = 1,004.8 cm3. paul's argument is correct; manuel used the incorrect formula to find the volume of square pyramid x. paul's argument is correct; manuel used the incorrect base area to find the volume of square pyramid x. manuel's argument is correct; paul used the incorrect formula to find the volume of square pyramid x. manuel's argument is correct; paul used the incorrect base area to find the volume of square pyramid x.