M angle j= (2x+38° and m angle k=4x+26)

m < I = 80°

m < J  = 50°

m < K = 50°

Step-by-step explanation:

Given the isoceles triangle, IJK, where:

m < J  = (2x + 38)°

m < K = (4x + 26)°

In order to solve for x, we can establish the following equality statement:

m < J = m < K

(2x + 38)° = (4x + 26)°

2x + 38 = 4x + 26

Subtract 2x from both sides:

2x - 2x + 38 = 4x - 2x + 26

Subtract 26 from both sides:

38 - 26 = 2x + 26 - 26

12 = 2x

Divide both sides by 2:

12/2 = 2x/2

6 = x

Substitute the value of x into the equality statement:

m < J = m < K

(2x + 38)° = (4x + 26)°

2(6) + 38 = 4(6) + 26

12 + 38 = 24 + 26

50° = 50°

Therefore, m < J  = 50°, and m < K = 50°.  To find m < I:

m < I = 180° - (m < J + m < K)°

m < I = 180 - (50° + 50°)

m < I = 180° - 100°

m < I = 80°

Therefore, the correct answers are:

m < I = 80°

m < J  = 50°

m < K = 50°

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.