10 points!
in the triangle below, what is the value of x? show your work.

Step-by-step explanation:

Looking at the triangle, to determine x, we would apply the sine rule. It is expressed as

a/SinA = b/SinB = c/SinC

Where a, b and c are the length of each side of the triangle and angle A, Angle B and angle C are the corresponding angles of the triangle.

Therefore

x/Sin60 = 14/Sin45

Cross multiplying, it becomes

x × Sin 45 = 14 × Sin 60

x × 0.7071 = 14 × 0.8660

0.7071x = 12.124

Dividing the left hand side and the right hand side of the equation by 0.7071, it becomes

0.7071x/0.7071 = 12.124/0.7071

x = 17.15

2

step-by-step explanation:

1+1=2

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.