The measures of two complementary angles are represented by (x) and (x +20), what is the number of degrees in the measure of the smaller angle? 1. 35
2. 55
3. 80
4. 100

Angle measure of the smaller angle in two complement angles = x

Angle measure of the bigger angle = x + 20

Their sum = 90° ( the sum of two complementary angles is always equal to 90° )

This can be written in an equation as =

= x + x + 20 = 90

= 2x + 20 = 90

= 2x = 90 - 20 ( transposing +20 from LHS to RHS changes +20 to -20 )

= 2x = 70

= x = 70 ÷ 2 ( transposing ×2 from LHS to RHS changes ×2 to ÷2 )

= x = 35

Then the value of the smaller angle = x = 35°

The value of the bigger angle = x + 20 = 35 + 20 = 55°

Therefore , the measure of degrees in the the smaller angle is :

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.

answer: (1,3) (3,-1) (5,-5) ?

step-by-step explanation: