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Alinara [238K]
3 years ago
13

Help me with this please

Mathematics
2 answers:
Marina86 [1]3 years ago
6 0
The answer is x=107 because three angles make up 180 degrees
liubo4ka [24]3 years ago
5 0

Answer:

x = 107

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the given angles from 180 for x, that is

x = 180 - (44 + 29) = 180 - 73 = 107

You might be interested in
Determine whether the statements in (a) and (b) are logically equivalent.
Andru [333]

Answer:

The two statements are logically equivalent.

Step-by-step explanation:

Let X be the statement that Bob is a double math and computer science major.

Y be the statement that Ann is a maths major.

Z be the statement that Ann is a double maths and computer science major.

The two statements written in terms of X, Y and Z now

a. Bob is a double math and computer science major and Ann is a math major, but Ann is not a double math and computer science major.

(x and y) and not z

b. It is not the case that both Bob and Ann are double math and computer science majors, but it is the case that Ann is a math major and Bob is a double math and computer science major.

not (x and z) and (x and y)

Noting that for logical statements,

Negation is represented by ~

And is represented by conjunction sign Λ

Or is represented by disjunction sign V

(x and y) and not z

(x Λ y) Λ (~z)

not (x and z) and (x and y)

~(x Λ z) Λ (x Λ y)

We can then simplify the second statement to obtain the first statement and prove the equivalence of both sides

~(x Λ z) Λ (x Λ y)

Using DE MORGAN'S theory, ~(x Λ z) = (~x) V (~z)

~(x Λ z) Λ (x Λ y) = ((~x) V (~z)) Λ (x Λ y)

Then applying the distributive law to the expression, we can open the bracket up

((~x) V (~z)) Λ (x Λ y)

= ((~x) Λ (x Λ y)) V ((~z) Λ (x Λ y))

Opening the first bracket up further

((~x) Λ (x Λ y)) V ((~z) Λ (x Λ y))

= ((~x) Λ x) Λ y) V ((~z) Λ (x Λ y))

The NEGATION law shows that (~x Λ x) = c (where c is a negation law parameter for when two opposite statements are combined in this manner, it works like a 0 in operation)

((~x) Λ x) Λ y) V ((~z) Λ (x Λ y))

= (c Λ y) V ((~z) Λ (x Λ y))

But (c Λ y) = (y Λ c) = c (according to the UNIVERSALLY BOUND law, see how c works like a 0 now?)

(c Λ y) V ((~z) Λ (x Λ y))

= c V ((~z) Λ (x Λ y))

= ((~z) Λ (x Λ y)) V c (commutative)

And one of the foremost IDENTITY laws is that (any statement) V c = c

((~z) Λ (x Λ y)) V c

= ((~z) Λ (x Λ y))

= (x Λ y) Λ (~z)

Which is the same as the first statement!

PROVED!!!

Hope this Helps!!!

5 0
3 years ago
Read 2 more answers
Find the length of the third side . If necessary, round nearest tenth 24. 18
Ratling [72]

Answer:30 on delta math!

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Tammy bought 20 pounds of flour for $11.<br> How many pounds of flour did she get per dollar?
frozen [14]

Answer:

1.82 pounds per dollar

Step-by-step explanation:

20/11= 1.82

6 0
2 years ago
Read 2 more answers
A plank of wood is 220 cm long.I cut it in 14cm pieces. what lenght of wood i will have left over?
Nana76 [90]

The required Length is 10cm.

What is length?

  • Length is a measure of distance. In the International System of Amounts, length is a volume with dimension distance. In utmost systems of dimension a base unit for length is chosen, from which all other units are deduced.
  • Length is generally understood to mean the most extended dimension of a fixed object. still, this isn't always the case and may depend on the position the object is in.
  • Varied terms for the length of a fixed object are used, and these include height, which is the perpendicular length or perpendicular extent, and range, breadth, or depth. Height is used when there's a base from which perpendicular measures can be taken. range or breadth generally relates to a shorter dimension when the length is the longest one.

220 / 14 gives us 15.

You have to understand that this means 15 whole 14 cm pieces and a Length of 1 piece.

thus 14 * 15 = 210

So 220- 210 = 10

where you know 220- 210 is< 15

Hence, The correct Length is 10cm.

Learn more about Length here:

brainly.com/question/2217700

#SPJ9

7 0
1 year ago
True or false?
uysha [10]

Answer:

False: A function is a rule that assigns each vale of the independent variable to exactly one vale of the dependent variable.

Step-by-step explanation:

4 0
3 years ago
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