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#5= 52^0 (52 degree)-- A

#6=107^0 --S

#7=100^0--H

#8=80^0--I

#9=100^0--H

#10=115^0--E

#11=65^0--U

#12=115^0--E

#13=36^0--T

#14=144^0--W

#15=36^0--T

#16=52^0--A

#17=23^0--D

#18=90^0--O

#19=36^0--T

#20=60^0--R

#21=30^0--Q

#22=60^0--R

Step-by-step explanation:

#5. A circle has 360 degree. half circle 180 degree; therefore 180^0-128^0= 52^0.

graph 3. #7,#8,#9, it has an angle 80 degree, so we can find #7=180^0-80^0=100^0, and #9=180^-80^0=100^0; therefore, #8=80^0, a  circle is always 360 degree.

other has the same logic

step-by-step explanation:

equation

you are asked to write the equation

  expression = 0

using the given expression. when you do that, you have

  2x^2-2x-12 = 0

factoring

you can see that each of the coefficients is even, so a factor of 2 can be removed immediately.

  2(x^2 -x -6) = 0

if you multiply the binomials (x+a)(x+b), you get

  (x +a)(x +b) = x^2 +(a+b)x +ab

this tells you the coefficient of x is the sum of two factors of the constant term. here, that means -1 is the sum of two factors of -6. we want to know those factors so we can factor the trinomial.

  -6 = -1×6 = -2×3 = -3×2 = -6×1

the factor pair that sums to -1 is {-3, 2}, so our factorization is

  2(x -3)(x +2) = 0

solutions

the solutions to this equation are the values of x that make the product zero. a product is zero only when only of the factors of the product is zero. here, that means

  x - 3 = 0

  x = 3 . . . add 3 to both sides of the equation

or

  x +2 = 0

  x = -2 . . . add -2 to both sides of the equation

the solutions to the equation are x=3 or x=-2. both of these values of x satisfy the equation—they make it be true.

c.35

step-by-step explanation:

8+13=21

21+8=29

29+6=35