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Given triangle QRS = triangle TUV, find the measure of the given angles and the lengths of the given sides.

a. QS= 3v+1, TV = 5v - 9
b. m angleR = 4n +4, m angleU = 5n-4

A. 16; 36
B. 8; 32
C. 5; 8
D. 16;32

Respuesta :

wegnerkolmp2741o

Answer:

A. 16; 36

Step-by-step explanation:

If the triangles are equal

sides QS = side TV

3v+1 = 5v-9

subtract 3v from each side

3v+1 -3v = 5v-3v-9

1 =2v-9

add 9 to each side

1+9 = 2v-9+9

10 = 2v

divide by 2

10/2 =2v/2

5=v

QS = TV = 3v+1 = 3(5)+1 = 16

<r = <u

4n+4 = 5n-4

subtract 4n from each side

4n+4 -4n = 5n-4n -4

4 = n-4

add 4 to each side

4+4 =n-4+4

8 =n

<r = <u = 4n+4 = 4*8+4 = 36

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