You are making a big picture frame . two pieces of wood are cut to form complementary angles so they fit together. one angle needs to be (7x+23) and the other angle needs to be (3x+27) . what is the measure of the larger angle

The measure of the larger angle is (7 x + 23) = 51°

Step-by-step explanation:

Two angles A and B are said to be complimentary angles if and only if their measure adds up to  90°.

⇒ ∠A + ∠B = 90°.

So, here given   (7 x+23)and  (3 x+27) are complimentary.

⇒  (7 x+23) +  (3 x+27)  = 90°

or, 10 x + 50 = 90°

⇒  10 x = 90°  - 50  = 40°

or, x = 40/ 10 = 4°

So, the first angle = (7 x+23) = 7 (4) + 23 = 51°

and the second angle is (3 x+27) = 3(4) + 27 = 39°

Hence, the measure of the larger angle is (7 x + 23) = 51°

the equation is not included but the answer is (1.50, 2.00, 2.75)

step-by-step explanation:

an = 22 + (n-1) *6

110 seats

step-by-step explanation:

an=a1+(n-1)(d)

a1 = 22   this is the first item in the sequence

d =6   this is how the sequence goes up

a)   an = 22 + (n-1) *6

b) a12 = 22 + (12-1) *6

    a12 = 22+11*6

  a12 = 22 +88

  a12 = 110