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satela [25.4K]
2 years ago
8

Triangle angle sum theorem What is the value of p?

Mathematics
1 answer:
monitta2 years ago
8 0

The angle sum property of triangle states that the sum of all angles of a triangle should be equal to 180°...

According to this theorem,

\sf54 + p-20 + p-48 = 180

\sf \: -14 + 2p = 180

\sf \: 2p = 180 +14

\sf \: 2p = 194

\sf \: p=97

<em>The value of p is 97... </em>

Now, Let's find the value of all angles with the help of value of p

  • Angle 1 = 54°
  • Angle 2 = p-48 = 97-48 = 49°
  • Angle 3 = p-20 = 97-20 = 77°
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Step-by-step explanation:

Determine whether a number is a solution to an equation.

Substitute the number for the variable in the equation.

Simplify the expressions on both sides of the equation.

Determine whether the resulting equation is true. If it is true, the number is a solution. If it is not true, the number is not a solution.

Hoped that helped:P

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3 years ago
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Jorge watches cars that pass in front of his house. He counts 25 red cars and 40 cars that are not red. What is the approximate
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Step-by-step explanation:

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3 years ago
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What is the closed linear form for this sequence given a1 = 0.3 and an + 1 = an + 0.75?
german

Answer:

The closed linear form of the given sequence is a_{n}=0.75n-0.45

Step-by-step explanation:

Given that the first term a_{1}=0.3 and a_{n+1}=a_{n}+0.75

To find the closed linear form for the given sequence

The formula for arithmetic sequence is

a_{n}=a_{1}+(n - 1)d  (where d is the common difference)

The above equation is of the given form  a_{n+1}=a_{n}+0.75

Comparing this we get d=0.75

With a_{1}=0.3 and d=0.75

We can substitute these values in a_{n}=a_{1}+(n - 1)d

a_{n}=a_{1}+(n - 1)d

=0.3+(n-1)(0.75)

=0.3+0.75n-0.75

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Rewritting as below

=0.75n-0.45

Therefore a_{n}=0.75n-0.45

Therefore the closed linear form of the given sequence is a_{n}=0.75n-0.45

3 0
3 years ago
Howdy! (づ。◕‿‿◕。)づ
lions [1.4K]

15/3 = 35/x

Cross multiply.

15x=105

105/15=x

x=7

Abe have to take 7 weeks of school this quarter.

3 0
3 years ago
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