The measure of angle DBE is (0.1x - 22) and the measure of angle CBE is (0.3x - 54). Find the value of x.

The measure of angle DBE is (0.1x - 22) and the measure of angle CBE is (0.3x - 54). The value of x is 415

Step-by-step explanation:

Given that,

The measure of angle DBE   (0.1x - 22)

The measure of angle CBE (0.3x - 54)

Step 1

As per the  Angle Addition Postulate,

m∠DBE+m∠CBE=m∠DBC

Step 2

Since∠ DBC is a right angle as indicated by the square symbol, then m∠DBC=90°.

Hence,

(0.1x-22)+(0.3x-54)= 90

Step 3

Lets solve the equation  for x

We know that 0.4x-76= 90

0.4x= 166

x=166/0.4

x=415

Step 4

Answer : The value of x is 415

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.

thats not a system of equations, that is a solution