Triangle PQR and triangle XYZ are similar. A)Work out the length of XZ.
B)Work out the length of QR.

XZ = 16.25 cm

QR = 6.8 cm

Step-by-step explanation:

The triangles are similar, and the following ratios of the lengths of corresponding sides are equal:

PQ/XY = PR/XZ = QR/YZ

The only pair of corresponding sides whose lengths we know is PQ and XY, so we must use it every time to establish a ratio. We will use PQ/XY both times below.

a)

PQ/XY = PR/XZ = QR/YZ

7.2/18 = 6.5/XZ

7.2(XZ) = 18 * 6.5

7.2(XZ) = 117

XZ = 16.25

XZ = 16.25 cm

b)

PQ/XY = PR/XZ = QR/YZ

7.2/18 = QR/17

18(QR) = 7.2 * 17

18(QR) = 122.4

QR = 6.8

QR = 6.8 cm

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step-by-step explanation:

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2