Evaluate each expression for the given values of the variables: |a−b| − |c+d| , if a=−5; b=4; c=1; d=−3

11

Step-by-step explanation:

|a−b| − |c+d|

Let = a=−5; b=4; c=1; d=−3

|-5−4| − |1+-3|

|-9| − |-2|

Absolute values means take the non-negative value

9 + 2

11

7

Step-by-step explanation:

| a - b | - | c + d |

Plug in the values for the variables.

| -5 - 4 | - | 1 + -3 |

Evaluate.

| - 9 | - | -2 |

Apply rule : | -a | = a

9 - 2

Subtract the numbers.

= 7

step-by-step explanation:

given that ab is divided into equal parts as

ac, cd, de, ef, fg, gh, hi, ib.

from this we find that f is the midpoint of ab.

so using mid point formula we find

f = (3,7)

similarly considering fb, we get

h = mid point of fb = ((6,6) and g, mid point of fh is

g = (9/2, 13/2)

i is mid point of hb

so i =(15/2,11/2)

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.