Use the figure to answer the questions.

(a) what additional information is needed to prove the triangles are congruent by sas postulate? explain.

(b) what additional information is needed to prove the triangles are congruent by the hl theorem? explain.

Part (a) segment AC is congruent to segment JL

Part (b) segment BC congruent to segment KL

Step-by-step explanation:

(a) SAS is side-angle-side

You know that angle A and angle J are right angles, so they are congruent. You also know sides AB and JK are congruent. That gives you side-angle. You need side-angle-side, so you need the next pair of corresponding sides, so you need sides AC and JL

Part (a) segment AC is congruent to segment JL

(b) HL is hypotenuse-leg

Becasue both triangles have a right angle, they are right triangles. Sides AB and JK are congruent corresponding legs of two right triangles. To use the HL theorem, you need a pair of congruent legs, which you already have, and the hypotenuses must be congruent.

Part (b) segment BC congruent to segment KL

answer: 42

use a calculator to find that 845/73 = 11.575

the whole part of the answer is 11. multiply this by 73 to get 11*73 = 803.

subtract that result from 845 to get 845 - 803 = 42

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,