Angle J and angle K are complementary angles. The measure of angle J is 18 less than the measure of
angle K. Find the measures of both angles.

Hey there! I'm happy to help!

If angles are complementary, they add up to 90 degrees.

This gives us this system of equations.

J=K-18

J+K=90

We plug the value of J into the second equation to solve for K.

K-18+K=90

We combine like terms.

2K-18=90

Add 18 to both sides.

2K=108

Divide both sides by 2.

K=54

J is 18 less than K.

54-18=36

Therefore, angle J is 36 degrees and angle K is 54 degrees.

Have a wonderful day! :D

J = 36

k = 54

Step-by-step explanation:

A complementary angle is an angle that adds up to 90 degrees

This means that angle J and angle K equals 90

J = k - 18

k + k - 18 = 90

2k - 18 = 90

First add 18 on each side

2k = 108

Now divide 2 on both sides

k = 54

This means that k = 54 and J = 54 - 18 (36)

hi how are you doing today? if you ever need just tell me

step-by-step explanation:

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.