PLEASE HELP ME
ANGLE JH is a midsegment of angle KLM . Find the value of x.

5 1 over 2
9

11

12

The value of x is 11.

Solution:

JH is a midsegment of the triangle KLM.

LM = 22

JH = x

To find the value of x.

Mid-segment theorem:

The segment connecting the midpoints of two sides of a triangle is parallel to the third side and is half the length of the third side.

By the mid-segment theorem,

JH = Half of LM

x = 11

The value of x is 11.

= 4n + 2

Step-by-step explanation:

There is a common difference d between consecutive terms in the sequence, that is

d = 10 - 6 = 14 - 10 = 18 - 14 = 22 - 18 = 4

This indicates the sequence is arithmetic with n th term

= a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 6 and d = 4, thus

= 6 + 4(n - 1) = 6 + 4n - 4 = 4n + 2