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vlada-n [284]
3 years ago
6

What is the value of x?

Mathematics
2 answers:
julsineya [31]3 years ago
7 0

For this case we have that the sum of the interior angles of a triangle is 180 degrees.

So:

G + 45 + 53 = 180\\G = 180-45-53\\G = 82 \ degrees

Thus, the angle of the vertex G of the triangle is 82 degrees.

Now, we must find the exterior angle x.

We know that, by definition:

x + 82 = 180\\x = 180-82\\x = 98

So, the angle x = 98

Answer:

98

kykrilka [37]3 years ago
4 0

Answer:

82

Step-by-step explanation:

triangle adds upto 180 degrees

180 - (53+45) = 98

Then two lines adapt to 180 degrees

therefore, 180 -98 = 82

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Rewrite the following quadratic functions in intercept or factored form. Show your work.
Dmitry [639]

<u>Answer: </u>

f(x) = 3(x+2)(x-2)

<u>Step-by-step explanation: </u>

We are given the following the quadratic function and we are to rewrite it in intercept or factored form:

f(x) = 3x^2 - 12

We can factorize the given function so taking the common factors out of it to get:

f(x)=3x^2 - 12

f(x) = 3 (x^2 - 4)

The term (x^2-4) is in the form a^2-b^2 so it can further be factorized to give:

f(x) = 3 (x+2)(x-2)

Therefore, the factored form of the given quadratic function is f(x) = 3(x+2)(x-2).


7 0
3 years ago
Read 2 more answers
Our waitress was fantastic!! Matthew decided
bearhunter [10]

Hey!

-----------------------------------------------

Steps To Solve:

~Turn into decimal

15% = 0.15

~Multiply

25.65 x 0.15 = 3.8475

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Answer:

Matthew will give the waitress $3.8475 for a tip.

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Hope This Helped! Good Luck!

4 0
3 years ago
What do you do if the divisor (the number you're dividing
Annette [7]

Answer:

you can use decimals

Step-by-step explanation:

7 0
3 years ago
Use Cramer's rule to find the solution to the following system of linear equations.
slavikrds [6]

Answer:

x = 53

y = 30

Step-by-step explanation:

Step(I):-

Given equations are

x -2y =-7 ...(I)

5x-9y =-5 ..(ii)

The matrix form  AX = B

                    \left[\begin{array}{ccc}1&-2\\ 5  & -9\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}-7\\-5\\\end{array}\right]

The determinant

= \left|\begin{array}{ccc}1&-2\\5&-9\\\end{array}\right| = -9+10 =1

By using Cramer's Rule

Δ₁ =      \left[\begin{array}{ccc}-7&-2\\\\-5&-9\end{array}\right]



The determinant is     Δ₁ = -9 X -7 - (10 ) = 53

x = Δ₁ / Δ

x = 53

The determinant

Δ₂ =



Δ₂ = -5 +35

     

 

y = Δ₂/Δ =  30

     

5 0
3 years ago
Read 2 more answers
Randy's bicycle tire has a diameter of 42 ccentimeters. Which is the closest to the circumference of one of the tires? Use 3.14
murzikaleks [220]

Answer:

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Step-by-step explanation:

diameter = radius*2

radius = 21

circumference =2*π*r

2*3.14*21= 131.88 centimeters

4 0
3 years ago
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