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frozen [14]
2 years ago
12

Find the value of x :)

Mathematics
2 answers:
Kisachek [45]2 years ago
4 0

Answer:

x=20

Step-by-step explanation:

Those add up to 180 degrees because a straight line is 180 degrees

Equation

2x + 70 + 3x + 10 = 180

Add liked terms

2x+3x=5x

5x+80=180

5x+80-80=180-80

Divide both sides by 5

5x=100

x=20

hope this helps and good luck! <3

alexira [117]2 years ago
3 0

Answer:

x = 20

Step-by-step explanation:

→ Remember how many degrees are on a straight line

180°

→ Set up an equation

2x + 70 + 3x + 10 = 180

→ Simplify

5x + 80 = 180

→ Minus 80 from both sides

5x = 100

→ Divide both sides by 5

x = 20

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Translate the given phrase to an expression. Subtract 2/7 from 25/28. Do not simplify
erastova [34]
25/28 - 2/7
it doesn’t need to be solved because it asked for an expression and not an equation, so no equal sign either
6 0
3 years ago
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Find the area. The figure is not drawn to scale. 7.6. 3.7
lora16 [44]

Answer:

28.12

Step-by-step explanation:

6 0
3 years ago
Please help with this question! I'm stuck on it. I will mark brainliest if you are correct!
kotegsom [21]

Answer:

The answer is a

Step-by-step explanation:

2+5 4/2

3 0
3 years ago
Let A, B, C and D be sets. Prove that A \ B and C \ D are disjoint if and only if A ∩ C ⊆ B ∪ D
ANEK [815]

Step-by-step explanation:

We have to prove both implications of the affirmation.

1) Let's assume that A \ B and C \ D are disjoint, we have to prove that A ∩ C ⊆ B ∪ D.

We'll prove it by reducing to absurd.

Let's suppose that A ∩ C ⊄ B ∪ D. That means that there is an element x that belongs to A ∩ C but not to B ∪ D.

As x belongs to A ∩ C, x ∈ A and x ∈ C.

As x doesn't belong to B ∪ D, x ∉ B and x ∉ D.

With this, we can say that x ∈ A \ B and x ∈ C \ D.

Therefore, x ∈ (A \ B) ∩ (C \ D), absurd!

It's absurd because we were assuming that A \ B and C \ D were disjoint, therefore their intersection must be empty.

The absurd came from assuming that A ∩ C ⊄ B ∪ D.

That proves that A ∩ C ⊆ B ∪ D.

2) Let's assume that A ∩ C ⊆ B ∪ D, we have to prove that A \ B and C \ D are disjoint (i.e.  A \ B ∩ C \ D is empty)

We'll prove it again by reducing to absurd.

Let's suppose that  A \ B ∩ C \ D is not empty. That means there is an element x that belongs to  A \ B ∩ C \ D. Therefore, x ∈ A \ B and x ∈ C \ D.

As x ∈ A \ B, x belongs to A but x doesn't belong to B.  

As x ∈ C \ D, x belongs to C but x doesn't belong to D.

With this, we can say that x ∈ A ∩ C and x ∉ B ∪ D.

So, there is an element that belongs to A ∩ C but not to B∪D, absurd!

It's absurd because we were assuming that A ∩ C ⊆ B ∪ D, therefore every element of A ∩ C must belong to B ∪ D.

The absurd came from assuming that A \ B ∩ C \ D is not empty.

That proves that A \ B ∩ C \ D is empty, i.e. A \ B and C \ D are disjoint.

7 0
3 years ago
5. Guests are given a random goodie bag at a party. There are less than 15 bags, but more than 8. Part A: How many bags were pre
Artemon [7]

Answer:

  • 12 bags

Step-by-step explanation:

Number of the bags = between 8 and 15  and

  • 1/2 of bags contain money
  • 1/6 of bags contain candy
  • 1/3 of bags contain a toy

As per above the number is divisible by 2, 3 and 6. LCM of the three numbers is 6.

<u> The number between 8 and 15 and divisible by 6:</u>

  • This number is 6*2 = 12

So the number of bags is 12

4 0
3 years ago
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