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Schach [20]
3 years ago
11

112°

Mathematics
2 answers:
Oliga [24]3 years ago
5 0
This is easy:
2f+1 + 53 =112
Minus 54 from both sides
2f = 58
Divide 2 from both sides
F=29
Just remember the exterior angle is the sum of the 2 interior angles.
Troyanec [42]3 years ago
3 0

Answer:

f = 29

Step-by-step explanation:

First look at the angle inside the triangle that has no marker.  You can determine this angle using the angle on the opposite side (112).

A straight line will equal 180.  So this angle would equal 180 - 112 or 68.

Now you know two of the triangles angles....  53 and 68.

A triangle's inside angles always add up to 180 degrees.

53 + 68 = 121

The angle that is 2f + 1 must equal 180 - 121 which is 59 degrees.

2f + 1 = 59

2f = 58

f = 29

The three angles inside the triangle are 53, 68 and 59

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Math help what is the answer will give brainliest.
artcher [175]
The two equations are
x + y = 7
and
4x + 2.5y = 22
the first equation can be solved for x to be
x = 7 - y
next you can substitute x in the second equation
4(7 - y) + 2.5y = 22
Distribute 4 to everything in the parentheses
28 - 4y + 2.5y = 22
combine like terms:
28 - 1.5y = 22
subtract 28 from both sides of the equation
- 1.5y =  - 6
divide both sides by -1.5
y =  4
plug this in to the original equation of x+y=7
x + 4 = 7
subtract 4 from both sides.
x = 3
Final Answer: they bought 3 adult tickets and 4 student tickets


Hope this helps!
7 0
3 years ago
One household is to be selected at random from a town. ​ ​The probability that ​the household has a cat is 0.20.2 . ​ ​The proba
dimulka [17.4K]

Answer:

There is a 50% probability that the household has a dog, given that the household has a ​cat.

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that a household has a cat.

B is the probability that a household has a dog.

We have that:

A = a + (A \cap B)

In which a is the probability that a household has a cat but not a dog and A \cap B is the probability that a household has both a cat and a dog.

By the same logic, we have that:

B = b + (A \cap B)

The probability that the household has a cat or a dog is 0.5

a + b + (A \cap B) = 0.5

The probability that the household has a dog ​is 0.4

B = 0.4

B = b + (A \cap B)

b = 0.4 - (A \cap B)

The probability that ​the household has a cat is 0.2.

A = 0.2

A = a + (A \cap B)

a = 0.2 - (A \cap B)

So

a + b + (A \cap B) = 0.5

0.2 - (A \cap B) + 0.4 - (A \cap B) + (A \cap B) = 0.5

A \cap B = 0.1

What is ​the probability that the household has a dog, given that the household has a ​cat?

20% of the households have a cat, and 10% have both a cat and a dog. So

P = \frac{A \cap B}{A} = {0.1}{0.2} = 0.5

There is a 50% probability that the household has a dog, given that the household has a ​cat.

4 0
3 years ago
Anyone? please help asap i really want to finish this
Nesterboy [21]

Answer:

Question 3: b \geq 2

Question 4: r < -5

Question 5: y \leq -6

Step-by-step explanation:

Question 3:

b + 2 \geq 4\\b + 2  -2 \geq 4 - 2\\b \geq 2\\

Question 4:

13 > 18 + r\\13 - 18 > 18 -18 + r\\\\-5 > r\\ r < -5sign flips when r switches sides

Question 5:

3y \leq 2y - 6\\3y - 2y \leq 2y - 2y - 6\\\\y \leq - 6\\

8 0
2 years ago
The sum of two consecutive even integers is 118 what are the integers
Elanso [62]

Answer:

58 and 60

Step-by-step explanation:

well if we say that x is the first integer

then we have that the next one is

x+2

so we have

x+(x+2)=118\\\\2x+2=118\\\\2x=116\\\\x=58

and the other one is

x+2=58+2=60

3 0
3 years ago
Read 2 more answers
Ryan has a bank account balance of −$17.62. As soon as he realizes this, he deposits $26.50 in the account.
nirvana33 [79]

Answer:

$466.93

Step-by-step explanation:

I multiplied by 26.50 & 17.62 and that got me $466.93. Or you can divide that into 17.62 = $1.50

4 0
3 years ago
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