I need the answers to x & y for #14-18 . help pleaseee

14) The values of x= 7√3 and y= 14

15) The values of x= 16 and y= 16√3

16) The values of x= 3√2 and y= 3√2

17) The values of x= 11 and y= 22

18) The values of z= 24  x= 48/√3 and y= 24/√3

Step-by-step explanation:

The properties of Special Triangles :

For triangle 30° - 60° - 90°,

For triangle 45° - 45° - 90°,

14) The given triangle is 30° - 60° - 90°.

The side opposite to the angle 30° ⇒ a = 7

x is the side opposite to the angle 60° ⇒ a√3 = 7√3

y is the side opposite to the angle 90° ⇒ 2a = 14

15) The given triangle is 30° - 60° - 90°.

The side opposite to the angle 90° ⇒ 2a = 32

⇒ a = 32/2

⇒ a = 16

x is the side opposite to the angle 30° ⇒ a = 16

y is the side opposite to the angle 60° ⇒ a√3 = 16√3

16) The given triangle is 45° - 45° - 90°.

The side opposite to the angle 90° ⇒ a√2 = 6

⇒ a = 6/√2

⇒ a = 3√2

x and y are the sides opposite to 45° ⇒ a

Therefore, x = 3√2 and y = 3√2

17) The given triangle is 30° - 60° - 90°.

The side opposite to the angle 60° ⇒ a√3 = 11√3

⇒ a = 11

x is the side opposite to the angle 30° ⇒ a = 11

y is the side opposite to the angle 90° ⇒ 2a = 22

18) The left half of the triangle is 45° - 45° - 90°.

The side opposite to the angle 90° ⇒ a√2 = 24√2

⇒ a = 24.

z is the side opposite to 45° ⇒ a = 24

The right half of the triangle is 30° - 60° - 90°.

The side opposite to the angle 60° ⇒ a√3 = 24

⇒ a= 24/√3

x is the side opposite to the angle 90° ⇒ 2a = 48/√3

y is the side opposite to the angle 30° ⇒ a = 24/√3

a) 7x=7

step-by-step explanation:

both the histogram and the stem and leaf plot will visually show how many shoppers were of various ages within each range of data.   the histogram does not give us the specific ages of these shoppers unlike the stem and leaf plot.a histogram does not give us a true range of the data because we do not know exactly how old the shoppers were. a stem and leaf plot will give exact ages, so we can determine the exact range along with all measures of center and the others measures of center.   with the histogram, we cannot find any of these.

step-by-step explanation: