You are told that the triangle is a right triangle so you know that the angle ABC is 90 degrees. From there you can say that the edition of both expressions will be equal to 90. You use this information to create an equation as the one I showed and solve for x using distributive property, combining like terms, opposite operations and commutative property. Once you have the value of x you can substitute into each expression to find out the measurement of ABD and DBC
Step-by-step explanation:
using elimination method because this is a simultaneous equation
3×x+6×y=111
x+y=27
1×[3x+6y=111]
3×[x+y=27]
3x+6y=111—equation 1
3x+3y=81—equation 2
substrate equation 1 from equation 2
3y=30
divide both sides by 3
y=10
substitute 10 for y in equation 1
3x+6y=111
3x+6(10)=111
3x+60=111
3x=111-60
3x=51
divide both sides by 3
x=17
Answer:
x = 18
Step-by-step explanation:
Vertically opposite angles are equal.
x + x + x + 90 = 144
3x + 90 = 144
Subtract 90 from both sides
3x = 144 - 90
3x = 54
Divide both sides by 3
x = 54/3
x = 18
