What is the value of x given that pq||bc?

x = 13 units    

Step-by-step explanation:

Given that : PQ ║ BC

To find : The value of x

Solution :

In ΔAPQ and ΔABC

∠APQ = ∠ABC ( Corresponding angles are always equal)

∠AQP = ∠ACB (Corresponding angles are always equal)

So, By AA similarity postulate of triangles, ΔAPQ ~ ΔABC

Since, The sides of the similar triangles are proportional to each other

Hence, AQ = 13 units

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1