Find the value of each variable.

a. a = 15, b = 5, c = 8, d = 4

b. a = 15, b = 4, c = 8, d = 5

c. a = 14.5, b = 5, c = 6, d = 4

d. a = 14.5, b = 4, c = 6, d = 5

(A)

Step-by-step explanation:

From the figure, since RT is parallel to QU, therefore ΔSQU is similar to ΔSRT, thus using the basic proportionality theorem, we get

Also, QU is parallel to PV, therefore from ΔPVS and ΔSRT, we have

Now, from ΔSRT and SQU, we have

Also, from ΔSQU and SPV,

Thus, value of a,b,c and d are 15,5,8 and 4 respectively.

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)