Which line segment could create a right triangle

C) 18, 24, 30

Step-by-step explanation:

In order to figure this out, use Pythagorean theorem since it's a right triangle.

Remember that the legs are shorter than the hypotenuse but when added together are longer. In this case, the two smaller values are the legs and the longer value is the hypotenuse.

A) 24, 30, 35

24² + 30² = 35²

576 + 900 = 1225

1476 = 1225 ; NOT true

B) 12, 18, 30

12² + 18² = 30²

144 + 324 = 900

468 = 900 ; NOT true

C) 18, 24, 30

18² + 24² = 30²

324 + 576 = 900

900 = 900 ; TRUE

D) 18, 24, 35

18² + 24² = 35²

324 + 576 = 1225

900 = 1225 ; NOT true

Therefore, C is the only one that works

15

step-by-step explanation:

we are given the following expression and we are to solve it and find the product:

-13 × (-5)

solving the given expression in the standard order of solving a mathematical expression, beginning with the opening of brackets and then multiplying the terms and changing their signs.

-3 × -5 = 15 (answer is positive because when negative is multiplied with negative, it gives a positive answer)

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.