Triangle abc is a right triangle. point d is the midpoint of side ab and point e is the midpoint of side ac. the measure of angle ade is 36°. the following flowchart with missing statements and reasons proves that the measure of angle ecb is 54°: which statement and reason can be used to fill in the numbered blank spaces?

a. measure of angle aed is 36°
base angle theorem
corresponding angles are congruent
b. measure of angle aed is 54°
base angle theorem
alternate interior angles are congruent
c. measure of angle aed is 54°
triangle sum theorem
alternate interior angles are congruent
d. measure of angle aed is 54°
triangle sum theorem
corresponding angle are congruent

D.Measure of angle AED is 54°

Triangle Sum Theorem

Corresponding angle are congruent

Step-by-step explanation:

if ABC is a right-andled triangle, then angle ADE=36 and angle ECB=(180-(90+36)) =54 WHICH IS triangle sum theorem

Angle ECB=AED= corresponding angles

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: