In the diagram shown what is the sum of the measures help please:)

1. 360 degrees

2. 60 degrees

3. 150 degrees

4. 90 degrees

Step-by-step explanation:

Knowing the measurements of angles 1 and 5, you should immediately start solving for the other angles.

Angles 2 and 5 are supplementary, meaning they both add to equal 180. If angle 5 is 120 degrees, that means that angle 2 must be 60 degrees.

Angles 1, 2, and 3 all make up the interior of a triangle, which should add to equal 180. If angle 1 is 30, and angle 2 is 60, their measurements together equal 90 degrees. That means that angle 3 should equal 90 degrees, so they'll all add to equal 180.

If angle 3 is 90, that means that angle 6 must also equal 90, because they are supplementary angles and must add to equal 180.

If angle 1 is 30 degrees, that means that angle 4 must equal 150, because they are also supplementary angles and need to equal 180 degrees.

Using this knowledge, you can easily answer the questions!

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)

54 kilometers per hour

step-by-step explanation:

according to rules:

1 km = 1000 meter

which means that 1 meter = 1/1000 km

1 hour = 3600 second [ as 1 hour = 60 min = 60 *60 seconds ]

which means that 1 second = 1/3600 hour

therefore, 1 kilometer/hour =

thus to convert 15 meter per second to kilometer per hour, we multiply 15 to 3.6 kilometer/hour.

15 meter/second=   which is the required answer.