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VladimirAG [237]
3 years ago
15

What is the value of a?

Mathematics
1 answer:
Marizza181 [45]3 years ago
7 0
Because the triangles are similar, we can form the proportion 3/4 = 4/a

Cross multiply and solve for 'a'

3/4 = 4/a
3*a = 4*4
3*a = 16
3*a/3 = 16/3
a = 16/3
a = (15+1)/3
a = (15/3)+(1/3)
a = 5+(1/3)

The answer is choice B)
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Use a truth table to determine whether the following is a tautology, a contradiction, or neither. ~PAP Q~QvQ
NNADVOKAT [17]

Answer:

The statement \lnot P \land P \rightarrow Q \rightarrow\lnot Q\lor Q is a tautology.

Step-by-step explanation:

We have the following statement \lnot P \land P \rightarrow Q \rightarrow\lnot Q\lor Q

A truth table shows how the truth or falsity of a compound statement depends on the truth or falsity of the simple statements from which it's constructed.

The simple statements from the statement given are:

\lnot P, \lnot Q, \lnot P \land P, \lnot P \land P \rightarrow Q, and \lnot Q \lor Q with these you can construct the following truth table.

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The last column contains only true values. Therefore, the statement is a tautology.

7 0
4 years ago
У - 6x = ||<br> -77<br> - 2x-3y=-7
Maksim231197 [3]

Answer:

<h2>x= 37/16</h2><h3>y=199/8</h3>

Step-by-step explanation:

1....y=11+6x

-77-2x+3y=-7

replace y by ..1..

so   -77-2x+3(11+6x)=-7

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16x=37

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replace x by 37/16

y=11+6*37/16

y=199/8

6 0
3 years ago
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