Based only on the information given in the diagram, which congruence theorems or postulates could be given as reasons why def=jkl?

AAS

LA

ASA

Step-by-step explanation:

In the given picture, we have two right triangles in which one side and one angle is equal to the corresponding side and one angle of the another right triangle,

So by LA theorem

ΔDEF≅ΔJKL

Also, two angles of ΔDEF is equal to the corresponding two angles of ΔJKL and one non included side, So by AAS theorem they are congruent.

If we consider right angle also, then two angles of ΔDEF is equal to the corresponding two angles of ΔJKL and one included side, So by ASA postulate they are congruent.

In ΔDEF and ΔJKL no two sides are given congruent thus we cannot apply SAS or LL or HL (hypotenuse are not given to be equal).

the final price would be 29.6925

step-by-step explanation:

39.59 minus 25% equals 29.6925

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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