Solve for x in the diagram below.

25 degrees

Step-by-step explanation:

The two given angles are vertical, so we can set their measures equal to each other and then solve for x.

4x + 50 = 150

4x = 100

x = 25

x = 25

Step-by-step explanation:

The angles are vertical angles, so their measures are equal.

4x + 50 = 150

4x = 100

x = 25

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.