Angle a and angle b are complementary angles. The measure of ∠a is 42°.

Which equation represents this situation with x representing the measure of ∠b ?

A) 90+42=x

B) 42+x=90

C) 42−x=90

D) 90+x=42

B) 42 + x = 90

Step-by-step explanation:

A complementary angle always equals 90 degrees. So, with that information, all you have to do is list the measurement of b as x and create an equation. Knowing that the measurement of angle a is 42 degrees, we can now find an equation. So, we would take the measurement of angle a, 42 degrees, and add the measurement of angle b, listed as x, which should equal 90 degrees.

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3