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german
3 years ago
9

Help me pls the question is in the picture

Mathematics
1 answer:
MaRussiya [10]3 years ago
4 0

Answer:

M<C = 37 degrees

M<D = 86 degrees

M<DEC = 111 degrees

Step-by-step explanation:

The exterior angle theorem can be measured by the hypotenuse of a 90 degree angle. Since there is no hypotenuse in the matrix, you don't need to make it positive :)

Therefore, after using this theorem, I came to the conclusion that m/C would be 37 degrees, since I calculated the measure of the angle. I used the same tactic on m/D and m/DEC.

I hope this helps :)

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If f(x)=3-2x and g(x)=1/x+5, What is the value of (f/g) (8)?
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4 years ago
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Using the laws of logic to prove tautologies.Use the laws of propositional logic to prove that each statement is a tautology.a.
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Answer:  The proofs are given below.

Step-by-step explanation:  We are given to prove that the following statements are tautologies using truth table :

(a) ¬r ∨ (¬r → p)                              b. ¬(p → q) → ¬q

We know that a statement is a TAUTOLOGY is its value is always TRUE.

(a) The truth table is as follows :

r                 p                 ¬r                       ¬r→p                     ¬r ∨ (¬r → p)

T                T                   F                         T                                T

T                F                   F                         T                                T

F                T                   T                         T                                T

F                F                   T                         F                                T  

So, the statement (a) is a  tautology.

(b) The truth table is as follows :

p                 q                 ¬q                       p→q             ¬(p→q)          ¬(p→q)→q

T                T                   F                         T                      F                    T

T                F                   T                         F                      T                    T

F                T                   F                         T                      F                    T

F                F                   T                         T                       F                   T

So, the statement (B) is a  tautology.              

Hence proved.

6 0
3 years ago
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