What is the value of a?

5 units
units
units
7 units

is the answer.

Step-by-step explanation:

In the given triangle YWZ

WZ² = YW² + YZ²

c² = 4² + 3² = 16 + 9 = 25

c = 5

In the ΔXYW

b² = 4² + a²-----(1)

In the right angle triangle WXZ

(a + 3)² = b² + c²

a² + 9 + 6a = b²+ c²

By putting value of b² from equation 1.

a² + 9 + 6a = 16 + a² + 25

6a + 9 = 41

6a = 41 - 9

6a = 32

a = 32/6 = 16/3

So is the answer.

start with a line segment pq that we will copy. mark a point r that will be one endpoint of the new line segment. set the compasses' point on the point p of the line segment to be copied. adjust the compasses' width to the point q. the compasses' width is now equal to the length of the line segment pq.

step-by-step explanation: