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AleksandrR [38]
3 years ago
13

Complete the following statements.

Mathematics
1 answer:
masha68 [24]3 years ago
8 0
  • A conjunction is true only if both statements are true.

The conjunction is the AND logical operator, and the result of A AND B is true only when both A and B are true. For example, "We are on planet earth, and elephants fly" is false, even if the first part is actually true.

  • A disjunction is true if at least one statement is true

In fact, the disjunction is the OR operator, and this time one true statement is sufficient to make the whole expression true: "You are reading this answer on brainly or I am 4 meters tall" is true, although I'm not 4 meters tall.

  • For a conditional statement, a true hypothesis cannot imply a false conclusion

In fact, the latin expression "ex falso sequitur quodlibet" translates as "you can deduce whatever you want from a false premise". Using formulas, this means that the implication A \implies B is always true, no matter the truth value of B. So, both these implications

1+2 = 4 \implies \pi = 8

1+2 = 4 \implies 10-3=7

are true.

Conversely, if the hypothesis is true, then the implication is true only if the conclusion is true as well: if we change the previous example to

1+2 = 3 \implies \pi = 8

1+2 = 3 \implies 10-3=7

Only the second implication will hold.

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1. In the figure below ABC∡=153°, ABD∢=(5x+5)°, and DBC∢=(3x+12)°. Find the measure of ABD∢ and DBC∢. Show all work
vodka [1.7K]

By angle addition postulate,

m(∠ABD) + m(∠DBC) = m(∠ABC)

Now substitute the values of each angle,

(5x + 5)° + (3x + 12)° = 153°

Combine like terms of the expression,

(5x + 3x) + (5 + 12) = 153

8x + 17 = 153

8x = 153 - 17

x = \frac{136}{8}

x = 17

Substitute the value of 'x' to get the measure of each angle,

m(∠ABD) = (5x + 5)

                = 5(17) + 5

                = 90°

m(∠DBC) = (3x + 12)

                = 3(17) + 12

                = 63°

Learn more,

brainly.com/question/4838302

8 0
2 years ago
What is -2x – 10 = 4????
Sunny_sXe [5.5K]

Answer:

x = -7

Step-by-step explanation:

-2x - 10 = 4

-2x = 14 | Add 10 to both sides

x = -7 | Divide both sides by -2

4 0
3 years ago
What Are some ways to describe rhe relationships between sets of Numbers?
vagabundo [1.1K]
<span>We can have the basic inequalities and equalities’ sign. (>, =, <). </span>
<span>These three set of symbols can discern, describe and explain the relationship between of numbers. These signs are used varying in many mathematical operations to explain and find discrepancy between value, sets of values or numbers in single and equitable category. </span>
Examples includes
 6 > 5; 6 is greater than 5; 5 is less than 6
<span> 1 > -1; -1 is less than 1; 1 is greater than -1 </span>
<span>-2 = -2; -2 is equal to -2  <span> </span></span>

7 0
3 years ago
The perimeter of a rectangle given the area and height.
GuDViN [60]

hello :)

so here i am assuming that 66m^2 is the area and the height is 6.3 (sorry, but the way you wrote it is a bit funny, its all good tho)

so to calculate area it is hieght multipled by width

so you have to divide 66 by 6.3, which gives you this very long number : 10.4761904762

i would personally round it to either just 10 or 10.5

so you would want to write the answer as ≈10.5

hope that helped!

i would appreciate it if you voted me as brainliest :)

5 0
3 years ago
Verbal expression for r+4
Ne4ueva [31]

Answer:

a number increased by 4

Step-by-step explanation:

r = a number

increased by four = +4

3 0
3 years ago
Read 2 more answers
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