Find the value of x.

x = 40°

Step-by-step explanation:

Measure of external angle outside a circle = ½ of the difference of the measurements of the intercepted arcs

Thus:

m<T = ½(arc PQ - arc RS)

x/2 = ½[(x + 70) - (x + 30)]

Multiply both sides by 2

x = (x + 70) - (x + 30)

x = x + 70 - x - 30 (distributive property)

Add line terms

x = x - x + 70 - 30

x = 40°

34.4 miles

Step-by-step explanation:

Mathematically;

z-score = x-mean/SD

from the question, we have mean as 29 and standard deviation as 3.6 with z-score as 1.5

So we need to find the z-score here

1.5 = x-29/3.6

3.6 * 1.5 = x-29

5.4 = x-29

x = 29 + 5.4

x = 34.4