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kolbaska11 [484]
2 years ago
15

If arc VY = 132° and ∠YUV = 41°, what is the measure of arc XV?

Mathematics
1 answer:
Tom [10]2 years ago
5 0

Answer:

50

Step-by-step explanation:

Use this equation

\frac{b - a}{2}  = angle \: yuv

where b is arc VY, A is arc XV.

Substitute the equation in

\frac{132 - a}{2}  = 41

132 - a = 82

- a =  - 50

a = 50

so our arc measure is 50

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Are the functions f,g, and h given below linearly independent?
CaHeK987 [17]

Answer:

Linearly independent, x = 0

Step-by-step explanation:

- We are given three functions as follows:

                           f ( x ) = e^4^x\\\\g ( x ) = xe^4^x\\\\h( x ) = x^2e^4^x

- We are to determine the linear - independence of the given functions. We will use the theorem of linear independence which states that:

                           c_1*f(x) + c_2*g(x) + c_3*h(x) = 0

Where,

                       c1 , c2 , c3 are all zeroes then for all values of (x),

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- We will express are system of equations as such:

                           c_1*e^4^x + c_2*xe^4^x + c_3*x^2e^4^x = 0\\\\

- To express our system of linear equations we will choose three arbitrary  values of ( x ). We will choose, x = 0. then we have:

                          c_1*( 1 ) + c_2*(0) + c_3*(0 ) = 0\\\\c_1 = 0

- Next choose x = 1:

                          c_2*e^4 + c_3*e^4 = 0\\\\c_2 + c_3 = 0

- Next choose x = 2:

                          2*c_2*e^8 + 4*c_3*e^8 = 0\\\\c_2 + 2c_3 = 0

- Solve the last two equations simultaneously we have:

                          c_1 = c_2 = c_3 = 0     .... ( Only trivial solution exist )

Answer: The functions are linearly independent

- The only zero exist is x = 0.

5 0
3 years ago
Bruce drew a scale drawing of a house and its lot. The house's driveway, which is 17 feet
serg [7]

Answer:

1/6

Step-by-step explanation:

Convert 17 feet to inches. 17×12 = 204

204 inches to 34 inches.

204/34 = 6

Remember we are scaling down

204× 1/6 = 34

3 0
3 years ago
Round the product of 0.24 and 0.26 to the nearest hundredth. What is the answer?
Andreyy89
0.06 because the product is 0.0624
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3 years ago
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andreev551 [17]

Answer:

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Step-by-step explanation:

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