Use the figure to write the segment addition postulate, write an equation and solve for x.

5). x = -1

6). x = 2

Step-by-step explanation:

5). AC = (x + 10)

    AB = 5

    BC = (2x + 6)

    By segment addition postulate,

    AC = AB + BC

    (x + 10) = 5 + (2x + 6)

    x + 10 = 2x + 11

    2x - x = 10 - 11

    x = -1

6). AC = 19

    AB = 9x + 7

    BC = -3x + 20

    By segment addition postulate,

    AC = AB + BC

    39 = 9x + 7 + (-3x + 20)

    39 = (9x - 3x) + (7 + 20)

    39 = 6x + 27

    6x = 39 - 27

    6x = 12

    x = 2

    x = 2

the correct answer is

c. 4

step-by-step explanation:

the given polynomial is

the degree of the polynomial is the highest exponent which is 4.

the -4 is called the leading coefficient.

this polynomial has only one term so it is a monomial.

the correct answer is option c.

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl