a school librarian ordered new books for the library. 1/3 are science 2/5 are biography and the rest of the books are fiction. What fraction of the books ordered are fiction?

4/15

Step-by-step explanation:

1/3 + 2/5

Use common denominator of 15

5/15 + 6/15 = 11/15

What fraction of the books ordered are fiction?

1 - 11/15

Use common denominator of 15

15/15 - 11/15 = 4/15

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

step-by-step explanation:

at each of the parallel lines adjacent angles are supplementary. the angles have special names identifying their positions with respect to the parallel lines and transversal. they are corresponding angles, alternate interior angles, or alternate exterior angles. an angles is congruent to its matched angle.