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MissTica
3 years ago
14

The diagram shows a triangle. 2x 60° 2x What is the value of x? Х=

Mathematics
2 answers:
Klio2033 [76]3 years ago
4 0

Answer:

X=30

Step-by-step explanation:

It is a equilateral triangle so all side are the same

You would add the x's so it would be 4x + 60 = 180

Thats 4x = 120

Divide 120 by 4 and u get 30

FinnZ [79.3K]3 years ago
3 0
2x+2x+60=180 because the angles have to add up to 180

So you have

4x+60=180

4x=120

x=30
You might be interested in
The sum of three consecutive integers is 198. What are the​ integers?
-BARSIC- [3]

Answer:

The sum of three consecutive integers for 198 are <em>65, 66, and 67</em>

Definition of "INTEGERS"

1.  a whole number; a number that is not a fraction.

2. a thing complete in itself.

Step-by-step explanation:

198 = x + x + 1 + <em>x + 2</em>

combine like numbers

198 = 3x + 3

subtract 3 from like numbers (in this case)

198 - 3 = 3x + 3 - 3

195 = 3x

divide by 3

195/3 = 3x/3

65 = x

x + 1 = 65 + 1  ---66

x + 2 = 65 +2  --67

6 0
3 years ago
This problem is lowkey tricky. Can someone help me out
notka56 [123]

Answer:

x = 10

Step-by-step explanation:

Proof: If a line is parallel to one side of the triangle, then it divides the other two sides proportionally.

6/9 = x/15

9x = 90

x = 10

6 0
2 years ago
A manufactured lot of buggy whips has 20 items, of which 5 are defective. A random sample of 5 items is chosen to be inspected.
dimulka [17.4K]

Answer:

a. 39.55%

b. 44.02%

Step-by-step explanation:

We have the following data:

n = 5

x = 1

p = 5/20 = 0.25

to. If the sampling is done with replacement.

We apply the binomial distribution formula, which is as follows:

P = nCx * (p ^ x) * ((1-p) ^ (n-x))

Where nCx, is a combination, and is equal to:

nCx = n! / x! * (n-x)!

replacing we have:

5C1 = 5! / 1! * 4! = 5

replacing in the main formula:

P = 5 * (0.25 ^ 1) * ((1- 0.25) ^ (5-1))

P = 0.3955

that is, without replacing the probability is 39.55%

b. if the sampling is done without replacement.

Here it is a little different from the previous one, but what you should do is calculate three cases,

the first was the one at point a, when n = 5 and x = 1

5C1 = 5! / 1! * 4! = 5

the second is when n = 20 and x = 5, this is all possible scenarios.

20C5 = 20! / 5! * 15! = 15504

and the third is when n = 15 (20-5) and x = 4 (5-1), which corresponds to the cases when none were damaged

15C4 = 15! / 4! * 11! = 1365

In the end, it would be:

P = (5C1 * 15C4) / 20C5

Replacing:

P = 5 * 1365/15504

P = 0.4402

Which means that without replacing the probability is 44.02%

7 0
3 years ago
a recipe calls for a total of 3 2/3 cups of flour and sugar. it the recipe calls for 1/4 cup of sugar, how much flour is needed?
zavuch27 [327]

Answer:

This is very detailed as I wish to make some principles about fractions clear.

3

5

12

Explanation:

This question boils down to  

3

2

3

−

1

4

A fractions structure is that of:

count

size indicator of what you are counting

→

numerator

denominator

You can not directly add or subtract the counts (numerators) unless the size indicators (denominators) are the same.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Consider  

3

2

3

Write as  

3

+

2

3

Multiply by 1 and you do not change the value. However, 1 comes in many forms so you can change the way something looks without changing its true value

[

3

×

1

]

+

2

3

[

3

×

3

3

]

+

2

3

 

9

3

   

+

2

3

 

=

 

11

3

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Putting it all together

3

2

3

−

1

4

 

→

 

11

3

−

1

4

But the size indicators are not the same. I chose to make them become 12

11

3

−

1

4

 

→

 

[

11

3

×

1

]

−

[

1

4

×

1

]

               

→

 

[

11

3

×

4

4

]

−

[

1

4

×

3

3

]

               

→

     

44

12

     

−

 

3

12

Now we may subtract the counts

               

→

 

44

−

3

12

 

=

 

41

12

But this is the same as  

12

12

+

12

12

+

12

12

+

5

12

                         

=

 

1

2

+

2

1

2

+

2

1

2

+

5

12

 

=

 

3

5

12


Step-by-step explanation:


5 0
3 years ago
Read 2 more answers
What is the greatest common factor of the polynomial -25y^3+15y^2-5y
Sonbull [250]

Answer:

-5y

Step-by-step explanation:

4 0
3 years ago
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