Which statement justifies why ∠ABF measures 130°? Given: angles ABD and DBC are complementary

Point B is on line AE between points A and E, point B is on line FD between points F and D, ray BC intersects with line AE at point B, line FD intersects with line AE at point B, the measure of angle ABD is 50 degrees, and it is given that angles ABD and DBC are complementary.

A linear pair is two adjacent, supplementary angles.
The sum of the measures of complementary angles is 90 degrees.
If two angles are vertical angles, then they are congruent.
Alternate interior angles are congruent.

A. A linear pair is two adjacent, supplementary angles.

Step-by-step explanation:

from the description,

< ABD = , so that;

< ABD + <DBC =

+ <DBC =  

<DBC =   -  

          =

Thus,

<FBE = < ABD = (vertically opposite angles)

<ABF + <FBE =  (supplementary angles)

<ABF +   =  

<ABF =   -

         =

The statement that justifies why <ABF measures is a linear pair is two adjacent, supplementary angles.

its A

Step-by-step explanation:

to rewrite a literal equation you may need to divide by a number, or by a variable.

hope i .

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.