What is the value of the variables?

x=9 and w=12

Step-by-step explanation:

To solve for w and x, create proportions between the two similar triangles.

where Big represents the bigger triangle an little represents the smaller triangle.

Cross multiply and solve for w.

8(12+w)=16(w)

96 + 8w = 16w

96 + 8w - 8w = 16w - 8w

96 = 8w

w=12

Repeat with a new proportion.

Cross multiply and solve for x.

8(24+x)=22(12)

192 + 8x = 264

8x = 72

x=9

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:

if the probability is 1/12, 75 people will receive a $25 gift card

step-by-step explanation: